Details

analyze2.9s (2.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0.8%	99%	0.2%	11
1.2%	98.6%	0.2%	12
1.8%	98%	0.2%	13
2%	97.7%	0.2%	14

Compiler

Compiled 20 to 18 computations (10% saved)

sample223.0ms (0.2%)

Algorithm

1×

intervals

Results

151.0ms	166×	body	1024	valid
30.0ms	55×	body	512	valid
14.0ms	7×	body	2048	valid
7.0ms	19×	body	256	valid
2.0ms	9×	body	128	valid

Compiler

Compiled 39 to 40 computations (-2.6% saved)

simplify114.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	96	31
1	96	31

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

19.3b

Counts

2 → 1

Compiler

Compiled 19 to 17 computations (10.5% saved)

localize20.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
0.1b	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
0.1b	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
0.1b	(*.f64 (cos.f64 phi1) (cos.f64 phi2))
0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
0.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
0.5b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
5.4b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite22.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_441`
9×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
8×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
6×	`associate-r_binary64_359` `associate-l_binary64_360`
4×	`cos-sum_binary64_553` `add-log-exp_binary64_458`
3×	`cancel-sign-sub-inv_binary64_385`
2×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`
1×	`acos-asin_binary64_600` `sub-neg_binary64_412` `sin-mult_binary64_574` `cos-diff_binary64_556`

Counts

4 → 57

Calls

8 calls:

5.0ms	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
1.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
0.0ms	(*.f64 (cos.f64 phi1) (cos.f64 phi2))

series545.0ms (0.5%)

Counts

4 → 48

Calls

4 calls:

270.0ms	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
112.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
102.0ms	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
61.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 1731 to 1514 computations (12.5% saved)

simplify78.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5140	2347

prune392.0ms (0.3%)

Pruning

48 alts after pruning (47 fresh and 1 done)

	Pruned	Kept	Total
New	58	47	105
Fresh	0	0	0
Picked	0	0	0
Done	0	1	1
Total	58	48	106

Error

3.6b

Counts

106 → 48

Compiler

Compiled 2950 to 1320 computations (55.3% saved)

localize28.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
0.1b	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
0.1b	(*.f64 (cos.f64 lambda1) (cos.f64 lambda2))
0.1b	(*.f64 (cos.f64 phi1) (cos.f64 phi2))
0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) R)
0.3b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.5b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))

rewrite23.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_441`
10×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
9×	`associate-r_binary64_359` `associate-l_binary64_360`
4×	`add-log-exp_binary64_458`
3×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`
2×	`sin-mult_binary64_574`
1×	`acos-asin_binary64_600`

Counts

4 → 64

Calls

8 calls:

6.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
4.0ms	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) R)
1.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
0.0ms	(*.f64 (cos.f64 phi1) (cos.f64 phi2))

series803.0ms (0.7%)

Counts

4 → 47

Calls

4 calls:

408.0ms	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) R)
172.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
121.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
102.0ms	(*.f64 (sin.f64 phi1) (sin.f64 phi2))

Compiler

Compiled 2665 to 2002 computations (24.9% saved)

simplify94.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4985	3055
1	4985	3055

localize19.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
0.1b	(*.f64 phi1 (sin.f64 phi2))
0.1b	(*.f64 (cos.f64 phi1) (cos.f64 phi2))
0.0b	(+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
0.1b	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
0.2b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
0.3b	(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
5.4b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite23.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
10×	`add-sqr-sqrt_binary64_441`
8×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
6×	`associate-r_binary64_359`
4×	`pow-prod-down_binary64_490` `cos-sum_binary64_553` `add-log-exp_binary64_458` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-l_binary64_360`
3×	`cancel-sign-sub-inv_binary64_385` `cos-diff_binary64_556`
2×	`*-commutative_binary64_350`
1×	`acos-asin_binary64_600` `associate-*l/_binary64_362` `sub-neg_binary64_412` `distribute-rgt-in_binary64_369` `unswap-sqr_binary64_387` `cos-mult_binary64_573` `distribute-lft-in_binary64_368`

Counts

4 → 59

Calls

8 calls:

8.0ms	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
1.0ms	(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
0.0ms	(+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))

series829.0ms (0.7%)

Counts

4 → 61

Calls

4 calls:

403.0ms	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
259.0ms	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
106.0ms	(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
61.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2151 to 1770 computations (17.7% saved)

simplify89.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5062	2884

localize31.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 (cos.f64 phi1) (cos.f64 phi2))
0.1b	(*.f64 1/120 (pow.f64 phi1 5))
0.0b	(+.f64 phi1 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (.f64 (pow.f64 phi1 3) -1/6)))
0.0b	(+.f64 (.f64 (sin.f64 phi2) (+.f64 phi1 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (.f64 (pow.f64 phi1 3) -1/6)))) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
0.3b	(acos.f64 (+.f64 (.f64 (sin.f64 phi2) (+.f64 phi1 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (.f64 (pow.f64 phi1 3) -1/6)))) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
2.0b	(.f64 (sin.f64 phi2) (+.f64 phi1 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (*.f64 (pow.f64 phi1 3) -1/6))))
5.4b	(cos.f64 (-.f64 lambda1 lambda2))
16.2b	(+.f64 (.f64 1/120 (pow.f64 phi1 5)) (.f64 (pow.f64 phi1 3) -1/6))

rewrite30.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64_419` `add-sqr-sqrt_binary64_441`
7×	`add-cube-cbrt_binary64_454`
6×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
4×	`cos-sum_binary64_553` `associate-r_binary64_359`
3×	`associate-l_binary64_360` `cancel-sign-sub-inv_binary64_385`
2×	`flip3-+_binary64_422` `associate-*r/_binary64_361` `flip-+_binary64_393`
1×	`acos-asin_binary64_600` `pow-prod-down_binary64_490` `sub-neg_binary64_412` `distribute-rgt-in_binary64_369` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `sum-log_binary64_510` `distribute-lft-out_binary64_370` `distribute-lft-in_binary64_368` `*-commutative_binary64_350` `+-commutative_binary64_349` `cos-diff_binary64_556`

Counts

4 → 54

Calls

8 calls:

11.0ms	(.f64 (sin.f64 phi2) (+.f64 phi1 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (*.f64 (pow.f64 phi1 3) -1/6))))
6.0ms	(+.f64 (.f64 1/120 (pow.f64 phi1 5)) (.f64 (pow.f64 phi1 3) -1/6))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
1.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi2) (+.f64 phi1 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (.f64 (pow.f64 phi1 3) -1/6)))) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
0.0ms	(+.f64 (.f64 (sin.f64 phi2) (+.f64 phi1 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (.f64 (pow.f64 phi1 3) -1/6)))) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))

series592.0ms (0.5%)

Counts

4 → 37

Calls

4 calls:

207.0ms	(.f64 (sin.f64 phi2) (+.f64 phi1 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (*.f64 (pow.f64 phi1 3) -1/6))))
196.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi2) (+.f64 phi1 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (.f64 (pow.f64 phi1 3) -1/6)))) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
120.0ms	(+.f64 (.f64 1/120 (pow.f64 phi1 5)) (.f64 (pow.f64 phi1 3) -1/6))
68.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2107 to 1721 computations (18.3% saved)

simplify79.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4995	2328
1	4995	2328

localize29.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (-.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (*.f64 lambda2 1/2))))))
0.1b	(.f64 lambda2 (-.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (*.f64 lambda2 1/2))))
0.1b	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (-.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (.f64 lambda2 1/2)))))))
0.1b	(*.f64 (cos.f64 phi1) (cos.f64 phi2))
0.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (-.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (*.f64 lambda2 1/2)))))))) R)
0.1b	(.f64 (cos.f64 lambda1) (.f64 lambda2 1/2))
0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
0.3b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (-.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (.f64 lambda2 1/2))))))))

rewrite25.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_441` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
9×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-l*_binary64_360`
7×	`associate-r_binary64_359`
5×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
4×	`add-log-exp_binary64_458`
3×	`*-commutative_binary64_350`
2×	`unswap-sqr_binary64_387`
1×	`acos-asin_binary64_600` `sin-mult_binary64_574`

Counts

4 → 63

Calls

8 calls:

7.0ms	(.f64 (cos.f64 lambda1) (.f64 lambda2 1/2))
5.0ms	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
4.0ms	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (-.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (*.f64 lambda2 1/2)))))))) R)
1.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (-.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (.f64 lambda2 1/2))))))))
0.0ms	(*.f64 (cos.f64 phi1) (cos.f64 phi2))

series959.0ms (0.8%)

Counts

4 → 40

Calls

4 calls:

540.0ms	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (-.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (*.f64 lambda2 1/2)))))))) R)
225.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda1) (.f64 lambda2 (-.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (.f64 lambda2 1/2))))))))
101.0ms	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
92.0ms	(.f64 (cos.f64 lambda1) (.f64 lambda2 1/2))

Compiler

Compiled 3080 to 2002 computations (35% saved)

simplify102.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4849	3122
1	4849	3122

localize25.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(.f64 (acos.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
0.1b	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
0.1b	(*.f64 (cos.f64 phi1) (cos.f64 phi2))
0.1b	(+.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
0.3b	(acos.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
5.4b	(cos.f64 (-.f64 lambda1 lambda2))
8.8b	(sqrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
8.8b	(sqrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))

rewrite19.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64_480`
5×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
4×	`cos-sum_binary64_553` `add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `sqrt-pow1_binary64_437`
3×	`cancel-sign-sub-inv_binary64_385`
2×	`pow-prod-down_binary64_490` `sqrt-div_binary64_436` `pow1/2_binary64_499` `sin-mult_binary64_574` `sqrt-prod_binary64_435`
1×	`acos-asin_binary64_600` `sub-neg_binary64_412` `cos-diff_binary64_556`

Counts

4 → 44

Calls

8 calls:

5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(sqrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
4.0ms	(sqrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
1.0ms	(acos.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
0.0ms	(+.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))

series385.0ms (0.3%)

Counts

4 → 35

Calls

4 calls:

112.0ms	(acos.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (sqrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
107.0ms	(sqrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
103.0ms	(sqrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
63.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 1666 to 1278 computations (23.3% saved)

simplify91.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5048	1275

prune5.7s (5%)

Pruning

231 alts after pruning (225 fresh and 6 done)

	Pruned	Kept	Total
New	321	183	504
Fresh	0	42	42
Picked	0	0	0
Done	0	6	6
Total	321	231	552

Error

3.5b

Counts

552 → 231

Compiler

Compiled 17334 to 8501 computations (51% saved)

localize29.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (sin.f64 lambda2))))
0.1b	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (sin.f64 lambda2)))))
0.1b	(*.f64 (cos.f64 lambda1) (cos.f64 lambda2))
0.1b	(*.f64 (cos.f64 phi1) (cos.f64 phi2))
0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (sin.f64 lambda2))))))) R)
0.3b	(*.f64 (sin.f64 lambda1) (neg.f64 (sin.f64 lambda2)))
0.5b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (neg.f64 (sin.f64 lambda2)))))))

rewrite27.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_441`
16×	`associate-r_binary64_359`
12×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
10×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
9×	`associate-l_binary64_360`
4×	`add-log-exp_binary64_458`
3×	`pow-prod-down_binary64_490` `distribute-lft-neg-in_binary64_376` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `distribute-rgt-neg-in_binary64_377` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`
1×	`acos-asin_binary64_600` `neg-mul-1_binary64_415` `sin-mult_binary64_574` `distribute-rgt-neg-out_binary64_379`

Counts

4 → 71

Calls

8 calls:

7.0ms	(*.f64 (sin.f64 lambda1) (neg.f64 (sin.f64 lambda2)))
5.0ms	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
4.0ms	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (sin.f64 lambda2))))))) R)
1.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (neg.f64 (sin.f64 lambda2)))))))
0.0ms	(*.f64 (cos.f64 phi1) (cos.f64 phi2))

series834.0ms (0.7%)

Counts

4 → 47

Calls

4 calls:

405.0ms	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (sin.f64 lambda2))))))) R)
174.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (neg.f64 (sin.f64 lambda2)))))))
152.0ms	(*.f64 (sin.f64 lambda1) (neg.f64 (sin.f64 lambda2)))
102.0ms	(*.f64 (sin.f64 phi1) (sin.f64 phi2))

Compiler

Compiled 2699 to 2036 computations (24.6% saved)

simplify149.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4807	3170
1	4807	3170

localize16.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
0.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
0.1b	(*.f64 phi1 (sin.f64 phi2))
0.0b	(+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
0.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
0.1b	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
0.4b	(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
5.4b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite21.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_441`
9×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
8×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
6×	`associate-r_binary64_359` `associate-l_binary64_360`
4×	`cos-sum_binary64_553` `add-log-exp_binary64_458`
3×	`cancel-sign-sub-inv_binary64_385`
2×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`
1×	`acos-asin_binary64_600` `sub-neg_binary64_412` `cos-mult_binary64_573` `cos-diff_binary64_556`

Counts

4 → 57

Calls

8 calls:

6.0ms	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
1.0ms	(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
0.0ms	(+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))

series590.0ms (0.5%)

Counts

4 → 55

Calls

4 calls:

229.0ms	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) R)
212.0ms	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
90.0ms	(acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
58.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 1656 to 1451 computations (12.4% saved)

simplify140.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4887	2173
1	4887	2173

localize26.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 (cos.f64 lambda1) (cos.f64 lambda2))
0.1b	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 lambda2 (sin.f64 lambda1)))))
0.1b	(*.f64 (cos.f64 phi1) (cos.f64 phi2))
0.0b	(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 lambda2 (sin.f64 lambda1)))
0.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 lambda2 (sin.f64 lambda1)))))) R)
0.2b	(*.f64 lambda2 (sin.f64 lambda1))
0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
0.3b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 lambda2 (sin.f64 lambda1))))))

rewrite23.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_441`
10×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
9×	`associate-r_binary64_359` `associate-l_binary64_360`
4×	`add-log-exp_binary64_458`
3×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`
1×	`acos-asin_binary64_600` `sin-mult_binary64_574`

Counts

4 → 63

Calls

8 calls:

6.0ms	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
5.0ms	(*.f64 lambda2 (sin.f64 lambda1))
4.0ms	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 lambda2 (sin.f64 lambda1)))))) R)
1.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 lambda2 (sin.f64 lambda1))))))
0.0ms	(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 lambda2 (sin.f64 lambda1)))

series739.0ms (0.6%)

Counts

4 → 40

Calls

4 calls:

393.0ms	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 lambda2 (sin.f64 lambda1)))))) R)
167.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 lambda2 (sin.f64 lambda1))))))
102.0ms	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
76.0ms	(*.f64 lambda2 (sin.f64 lambda1))

Compiler

Compiled 2336 to 1736 computations (25.7% saved)

simplify83.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4810	2715
1	4810	2715

localize31.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(sqrt.f64 (sin.f64 phi2))
0.0b	(sqrt.f64 (sin.f64 phi2))
0.0b	(+.f64 phi1 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (.f64 (pow.f64 phi1 3) -1/6)))
0.0b	(+.f64 (.f64 (sqrt.f64 (sin.f64 phi2)) (.f64 (+.f64 phi1 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (.f64 (pow.f64 phi1 3) -1/6))) (sqrt.f64 (sin.f64 phi2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
0.8b	(.f64 (+.f64 phi1 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (*.f64 (pow.f64 phi1 3) -1/6))) (sqrt.f64 (sin.f64 phi2)))
1.0b	(.f64 (sqrt.f64 (sin.f64 phi2)) (.f64 (+.f64 phi1 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (.f64 (pow.f64 phi1 3) -1/6))) (sqrt.f64 (sin.f64 phi2))))
5.4b	(cos.f64 (-.f64 lambda1 lambda2))
16.2b	(+.f64 (.f64 1/120 (pow.f64 phi1 5)) (.f64 (pow.f64 phi1 3) -1/6))

rewrite52.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_441`
12×	`*-un-lft-identity_binary64_419`
11×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
10×	`add-cube-cbrt_binary64_454` `associate-l_binary64_360`
7×	`associate-r_binary64_359` `sqrt-prod_binary64_435`
6×	`add-log-exp_binary64_458`
4×	`associate-*l/_binary64_362` `pow-prod-down_binary64_490` `cos-sum_binary64_553` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
3×	`flip3-+_binary64_422` `flip-+_binary64_393` `cancel-sign-sub-inv_binary64_385`
2×	`unswap-sqr_binary64_387` `associate-r/_binary64_361` `-commutative_binary64_350`
1×	`sub-neg_binary64_412` `sum-log_binary64_510` `distribute-lft-out_binary64_370` `+-commutative_binary64_349` `cos-diff_binary64_556`

Counts

4 → 71

Calls

8 calls:

15.0ms	(.f64 (sqrt.f64 (sin.f64 phi2)) (.f64 (+.f64 phi1 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (.f64 (pow.f64 phi1 3) -1/6))) (sqrt.f64 (sin.f64 phi2))))
13.0ms	(.f64 (+.f64 phi1 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (*.f64 (pow.f64 phi1 3) -1/6))) (sqrt.f64 (sin.f64 phi2)))
9.0ms	(+.f64 (.f64 1/120 (pow.f64 phi1 5)) (.f64 (pow.f64 phi1 3) -1/6))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
0.0ms	(+.f64 (.f64 (sqrt.f64 (sin.f64 phi2)) (.f64 (+.f64 phi1 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (.f64 (pow.f64 phi1 3) -1/6))) (sqrt.f64 (sin.f64 phi2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))

series616.0ms (0.5%)

Counts

4 → 32

Calls

4 calls:

223.0ms	(.f64 (+.f64 phi1 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (*.f64 (pow.f64 phi1 3) -1/6))) (sqrt.f64 (sin.f64 phi2)))
206.0ms	(.f64 (sqrt.f64 (sin.f64 phi2)) (.f64 (+.f64 phi1 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (.f64 (pow.f64 phi1 3) -1/6))) (sqrt.f64 (sin.f64 phi2))))
124.0ms	(+.f64 (.f64 1/120 (pow.f64 phi1 5)) (.f64 (pow.f64 phi1 3) -1/6))
62.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 1838 to 1465 computations (20.3% saved)

simplify94.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4940	2316
1	4940	2316

localize31.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
0.1b	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
0.1b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (cbrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (cbrt.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
0.1b	(*.f64 (cos.f64 phi1) (cos.f64 phi2))
5.4b	(cos.f64 (-.f64 lambda1 lambda2))
9.6b	(cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
9.6b	(cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
9.6b	(cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))

rewrite22.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
4×	`cos-sum_binary64_553` `add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
3×	`pow1/3_binary64_501` `cbrt-div_binary64_451` `sin-mult_binary64_574` `cbrt-prod_binary64_450` `cancel-sign-sub-inv_binary64_385`
1×	`sub-neg_binary64_412` `cos-diff_binary64_556`

Counts

4 → 42

Calls

8 calls:

5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
4.0ms	(cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
4.0ms	(cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
0.0ms	(*.f64 (cos.f64 phi1) (cos.f64 phi2))

series809.0ms (0.7%)

Counts

4 → 30

Calls

4 calls:

252.0ms	(cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
249.0ms	(cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
242.0ms	(cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)))
66.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2002 to 1264 computations (36.9% saved)

simplify85.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5130	852

prune12.4s (10.7%)

Pruning

372 alts after pruning (361 fresh and 11 done)

	Pruned	Kept	Total
New	355	153	508
Fresh	12	208	220
Picked	0	0	0
Done	0	11	11
Total	367	372	739

Error

3.5b

Counts

739 → 372

Compiler

Compiled 23219 to 11792 computations (49.2% saved)

localize32.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
0.1b	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
0.1b	(*.f64 (cos.f64 lambda1) (cos.f64 lambda2))
0.1b	(*.f64 (cos.f64 phi1) (cos.f64 phi2))
0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) R)
0.3b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.5b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))

rewrite24.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_441`
10×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
9×	`associate-r_binary64_359` `associate-l_binary64_360`
4×	`add-log-exp_binary64_458`
3×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`
2×	`sin-mult_binary64_574`
1×	`acos-asin_binary64_600`

Counts

4 → 64

Calls

8 calls:

6.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
4.0ms	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) R)
1.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
0.0ms	(*.f64 (cos.f64 phi1) (cos.f64 phi2))

series790.0ms (0.7%)

Counts

4 → 47

Calls

4 calls:

387.0ms	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) R)
165.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
126.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
111.0ms	(*.f64 (sin.f64 phi1) (sin.f64 phi2))

Compiler

Compiled 2833 to 2170 computations (23.4% saved)

simplify94.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4985	3055
1	4985	3055

localize17.0ms (0%)

Local error

Found 8 expressions with local error:

1.1b	(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
0.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R)
0.1b	(*.f64 phi1 (sin.f64 phi2))
0.0b	(+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
0.1b	(*.f64 phi1 (sin.f64 phi2))
0.1b	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R)
1.1b	(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
5.4b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite19.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_441`
9×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
8×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
6×	`associate-r_binary64_359` `associate-l_binary64_360`
4×	`cos-sum_binary64_553` `add-log-exp_binary64_458`
3×	`cancel-sign-sub-inv_binary64_385`
2×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`
1×	`acos-asin_binary64_600` `sub-neg_binary64_412` `cos-diff_binary64_556`

Counts

4 → 56

Calls

8 calls:

5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(*.f64 phi1 (sin.f64 phi2))
4.0ms	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R)
1.0ms	(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
0.0ms	(+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))

series368.0ms (0.3%)

Counts

4 → 43

Calls

4 calls:

183.0ms	(.f64 (acos.f64 (+.f64 (.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) R)
72.0ms	(acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
63.0ms	(*.f64 phi1 (sin.f64 phi2))
50.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 1068 to 1038 computations (2.8% saved)

simplify104.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4787	1489
1	4787	1489

localize23.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)))
0.1b	(+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))
0.1b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))) (sqrt.f64 R))
0.1b	(*.f64 (cos.f64 phi1) (cos.f64 phi2))
0.1b	(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) (sqrt.f64 R)) (sqrt.f64 R))
0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
0.5b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))
5.4b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite26.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_441` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
9×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-r*_binary64_359`
4×	`pow-prod-down_binary64_490` `cos-sum_binary64_553` `add-log-exp_binary64_458` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-l_binary64_360`
3×	`sqrt-prod_binary64_435` `cancel-sign-sub-inv_binary64_385`
2×	`*-commutative_binary64_350`
1×	`acos-asin_binary64_600` `sub-neg_binary64_412` `unswap-sqr_binary64_387` `sin-mult_binary64_574` `cos-diff_binary64_556`

Counts

4 → 60

Calls

8 calls:

8.0ms	(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) (sqrt.f64 R)) (sqrt.f64 R))
5.0ms	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
1.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))
0.0ms	(*.f64 (cos.f64 phi1) (cos.f64 phi2))

series518.0ms (0.5%)

Counts

4 → 46

Calls

4 calls:

254.0ms	(.f64 (.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) (sqrt.f64 R)) (sqrt.f64 R))
109.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))
93.0ms	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
61.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 1928 to 1599 computations (17.1% saved)

simplify144.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4774	2354
1	4774	2354

localize32.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
0.1b	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
0.1b	(*.f64 (cos.f64 lambda1) (cos.f64 lambda2))
0.1b	(*.f64 (cos.f64 phi1) (cos.f64 phi2))
0.2b	(.f64 (exp.f64 (log.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))) R)
0.3b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.5b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
0.6b	(log.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))

rewrite23.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_441`
10×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
9×	`associate-l_binary64_360` `pow1_binary64_480`
8×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
7×	`log-prod_binary64_505`
6×	`associate-r_binary64_359`
4×	`add-log-exp_binary64_458` `exp-sum_binary64_465`
3×	`unswap-sqr_binary64_387`
2×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`
1×	`acos-asin_binary64_600` `rem-log-exp_binary64_460` `sin-mult_binary64_574` `log-pow_binary64_508`

Counts

4 → 61

Calls

8 calls:

6.0ms	(.f64 (exp.f64 (log.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))) R)
6.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
1.0ms	(log.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
1.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
0.0ms	(*.f64 (cos.f64 phi1) (cos.f64 phi2))

series3.0s (2.6%)

Counts

4 → 50

Calls

4 calls:

1.7s	(.f64 (exp.f64 (log.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))) R)
1.1s	(log.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
157.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
119.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 3200 to 2398 computations (25.1% saved)

simplify141.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4951	4038
1	4951	4038

localize34.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (sin.f64 lambda2))))
0.1b	(.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (neg.f64 (sin.f64 lambda2)))))
0.1b	(*.f64 (cos.f64 lambda1) (cos.f64 lambda2))
0.1b	(*.f64 (cos.f64 phi1) (cos.f64 phi2))
0.5b	(*.f64 (cbrt.f64 (sin.f64 phi2)) (cbrt.f64 (sin.f64 phi2)))
0.6b	(cbrt.f64 (sin.f64 phi2))
0.6b	(cbrt.f64 (sin.f64 phi2))
0.6b	(cbrt.f64 (sin.f64 phi2))

rewrite25.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_450`
23×	`add-sqr-sqrt_binary64_441`
15×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
11×	`pow1_binary64_480`
9×	`pow1/3_binary64_501`
6×	`associate-r_binary64_359` `swap-sqr_binary64_386` `associate-l_binary64_360` `add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `add-cbrt-cube_binary64_455`
2×	`pow-prod-down_binary64_490` `pow-sqr_binary64_392` `pow-prod-up_binary64_489`
1×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-plus_binary64_482` `*-commutative_binary64_350` `pow2_binary64_500`

Counts

4 → 73

Calls

8 calls:

8.0ms	(*.f64 (cbrt.f64 (sin.f64 phi2)) (cbrt.f64 (sin.f64 phi2)))
2.0ms	(cbrt.f64 (sin.f64 phi2))
2.0ms	(cbrt.f64 (sin.f64 phi2))
1.0ms	(cbrt.f64 (sin.f64 phi2))
0.0ms	(*.f64 (cos.f64 phi1) (cos.f64 phi2))

series297.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

86.0ms	(*.f64 (cbrt.f64 (sin.f64 phi2)) (cbrt.f64 (sin.f64 phi2)))
77.0ms	(cbrt.f64 (sin.f64 phi2))
69.0ms	(cbrt.f64 (sin.f64 phi2))
64.0ms	(cbrt.f64 (sin.f64 phi2))

Compiler

Compiled 900 to 706 computations (21.6% saved)

simplify84.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4936	711
1	4936	711

prune14.7s (12.8%)

Pruning

525 alts after pruning (509 fresh and 16 done)

	Pruned	Kept	Total
New	346	166	512
Fresh	13	343	356
Picked	0	0	0
Done	0	16	16
Total	359	525	884

Error

3.4b

Counts

884 → 525

Compiler

Compiled 9229 to 1717 computations (81.4% saved)

simplify636.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5069	45334

regimes19.4s (16.8%)

Compiler: Compiled 190031 to 135778 computations (28.5% saved)

bsearch0.0ms (0%)

regimes7.3s (6.4%)

Compiler: Compiled 39472 to 33738 computations (14.5% saved)

bsearch265.0ms (0.2%)

Steps

Iters	Range		Point
7	2.734398941804654e+19	2.2354823260377247e+21	2.780596553667369e+19
9	-253440808557.47034	-8936.842102737204	-9134.866914517399

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes4.6s (4%)

Compiler: Compiled 27781 to 24647 computations (11.3% saved)

bsearch282.0ms (0.2%)

Steps

Iters	Range		Point
9	1.9816072281080328e-21	6.545399629708752e-12	6.43302924540169e-12
9	-3.285459739923248	-3.310593935185522e-06	-0.027208884307120835

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes3.6s (3.1%)

Compiler: Compiled 25727 to 22818 computations (11.3% saved)

bsearch284.0ms (0.2%)

Steps

Iters	Range		Point
9	1.9816072281080328e-21	6.545399629708752e-12	6.43302924540169e-12
9	-3.285459739923248	-3.310593935185522e-06	-3.3476736591040927e-06

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes3.3s (2.8%)

Compiler: Compiled 23072 to 20589 computations (10.8% saved)

bsearch310.0ms (0.3%)

Steps

Iters	Range		Point
9	1.9816072281080328e-21	6.545399629708752e-12	6.43302924540169e-12
9	-3.285459739923248	-3.310593935185522e-06	-3.4959925547783745e-06

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes2.3s (2%)

Compiler: Compiled 16182 to 14637 computations (9.5% saved)

bsearch277.0ms (0.2%)

Steps

Iters	Range		Point
9	2.0368066135389246e-134	5.704085963512508e-128	5.686091583663815e-134
8	3.882646194295901e-218	2.6633386641073826e-214	2.6172104874922033e-214

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes1.2s (1%)

Compiler: Compiled 10107 to 9426 computations (6.7% saved)

bsearch0.0ms (0%)

regimes1.8s (1.5%)

Compiler: Compiled 9313 to 8719 computations (6.4% saved)

bsearch274.0ms (0.2%)

Steps

Iters	Range		Point
9	4.85243853380799	604026.5334732573	4.9186064226726405
10	-34.9572105659994	-7.846351367292915e-12	-2.179662043253059e-07

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes1.6s (1.4%)

Compiler: Compiled 7880 to 7464 computations (5.3% saved)

bsearch251.0ms (0.2%)

Steps

Iters	Range		Point
8	2.0521729242274878e-08	2.2924864944942573e-05	2.2623110052704576e-05
9	-3.285459739923248	-3.310593935185522e-06	-0.06083364880851677

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes1.1s (1%)

Compiler: Compiled 6422 to 6068 computations (5.5% saved)

bsearch226.0ms (0.2%)

Steps

Iters	Range		Point
7	5.220638764550682e+83	1.1392881023967121e+86	5.367813589352923e+83
7	-49489172654717.3	-939741587288.7435	-20020833338044.004

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes508.0ms (0.4%)

Compiler: Compiled 3895 to 3842 computations (1.4% saved)

bsearch0.0ms (0%)

regimes786.0ms (0.7%)

Compiler: Compiled 4380 to 4362 computations (0.4% saved)

bsearch182.0ms (0.2%)

Steps

Iters	Range		Point
7	0.11612700069656284	4.85243853380799	0.11743439269419638
6	-292607532915948.44	-29398652327192.527	-29861605941705.953

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes719.0ms (0.6%)

Compiler: Compiled 4016 to 4033 computations (-0.4% saved)

bsearch219.0ms (0.2%)

Steps

Iters	Range		Point
6	2.0867581034543234e-63	2.6944977697064796e-62	2.1928564797568394e-62
8	-8.113024722586044e-84	-1.1237653712295625e-86	-8.036029096285144e-84

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes190.0ms (0.2%)

Compiler: Compiled 1095 to 1231 computations (-12.4% saved)

bsearch0.0ms (0%)

regimes261.0ms (0.2%)

Compiler: Compiled 918 to 1113 computations (-21.2% saved)

bsearch183.0ms (0.2%)

Steps

Iters	Range		Point
7	0.11612700069656284	4.85243853380799	0.12266396068473054
6	-292607532915948.44	-29398652327192.527	-29861605941705.953

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes253.0ms (0.2%)

Compiler: Compiled 827 to 1022 computations (-23.6% saved)

bsearch291.0ms (0.3%)

Steps

Iters	Range		Point
9	0.19586630684821518	198072322.34137377	0.19951728626067106
10	-8936.842102737204	-9.979556210865491e-08	-0.009600956894570675

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes130.0ms (0.1%)

Compiler: Compiled 598 to 755 computations (-26.3% saved)

bsearch0.0ms (0%)

regimes92.0ms (0.1%)

Compiler: Compiled 262 to 433 computations (-65.3% saved)

bsearch0.0ms (0%)

regimes45.0ms (0%)

Compiler: Compiled 25 to 140 computations (-460% saved)

bsearch38.0ms (0%)

Compiler: Compiled 846 to 481 computations (43.1% saved)

simplify15.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	278	1142
1	278	1142

end0.0ms (0%)

sample10.6s (9.2%)

Algorithm

1×

intervals

Results

4.9s	5454×	body	1024	valid
1.1s	1481×	body	512	valid
511.0ms	252×	body	2048	valid
196.0ms	510×	body	256	valid
53.0ms	303×	body	128	valid
2.0ms	2×	body	1024	invalid
1.0ms	1×	body	512	invalid

Compiler

Compiled 20428 to 14565 computations (28.7% saved)