Details

analyze341.0ms (1.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample113.0ms (0.4%)

Algorithm

1×

intervals

Results

57.0ms	154×	body	1024	valid
14.0ms	62×	body	1024	invalid
11.0ms	53×	body	512	valid
7.0ms	12×	body	2048	valid
5.0ms	31×	body	512	invalid
3.0ms	22×	body	256	valid
2.0ms	14×	body	256	invalid
1.0ms	16×	body	128	invalid
1.0ms	15×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify178.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5340	18

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

57.5b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.1b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite21.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
9×	`cancel-sign-sub-inv_binary64_3454`
7×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `pow1_binary64_3549`
6×	`add-cube-cbrt_binary64_3523`
5×	`associate-r_binary64_3428`
4×	`distribute-lft-in_binary64_3437` `distribute-rgt-in_binary64_3438` `add-log-exp_binary64_3527`
3×	`cbrt-unprod_binary64_3521` `pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `sub-neg_binary64_3481`
2×	`difference-of-squares_binary64_3457` `distribute-lft-out--_binary64_3440` `flip3--_binary64_3492` `associate-*r/_binary64_3430` `flip--_binary64_3463`
1×	`diff-log_binary64_3580` `associate-l_binary64_3429` `*-commutative_binary64_3419`

Counts

2 → 46

Calls

2 calls:

11.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series181.0ms (0.7%)

Counts

2 → 16

Calls

2 calls:

152.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
29.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 367 to 310 computations (15.5% saved)

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5053	1131

prune78.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	3	63

Error

0.1b

Counts

63 → 3

Compiler

Compiled 1053 to 451 computations (57.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 1/2520 (pow.f64 im 7))
0.1b	(*.f64 1/60 (pow.f64 im 5))
0.1b	(*.f64 1/3 (pow.f64 im 3))
0.1b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))

rewrite43.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_3510`
29×	`associate-r_binary64_3428`
24×	`add-exp-log_binary64_3526`
15×	`add-cbrt-cube_binary64_3524` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
12×	`unpow-prod-down_binary64_3567` `associate--l+_binary64_3425` `prod-exp_binary64_3537`
10×	`unswap-sqr_binary64_3456` `associate-l_binary64_3429`
9×	`pow1_binary64_3549`
6×	`distribute-lft-in_binary64_3437` `distribute-rgt-in_binary64_3438` `cancel-sign-sub-inv_binary64_3454` `cbrt-unprod_binary64_3521` `sqr-pow_binary64_3460` `sub-neg_binary64_3481`
4×	`cube-prod_binary64_3516` `add-log-exp_binary64_3527` `*-commutative_binary64_3419`
3×	`pow-exp_binary64_3556` `pow-to-exp_binary64_3557` `pow-prod-down_binary64_3559`
2×	`associate-*r/_binary64_3430`
1×	`unpow3_binary64_3554` `flip3--_binary64_3492` `flip--_binary64_3463` `cube-mult_binary64_3518`

Counts

4 → 113

Calls

4 calls:

14.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
7.0ms	(*.f64 1/3 (pow.f64 im 3))
5.0ms	(*.f64 1/60 (pow.f64 im 5))
5.0ms	(*.f64 1/2520 (pow.f64 im 7))

series379.0ms (1.4%)

Counts

4 → 19

Calls

4 calls:

257.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
46.0ms	(*.f64 1/2520 (pow.f64 im 7))
41.0ms	(*.f64 1/60 (pow.f64 im 5))
35.0ms	(*.f64 1/3 (pow.f64 im 3))

Compiler

Compiled 874 to 754 computations (13.7% saved)

simplify78.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5088	2524

prune263.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	127	5	132
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	127	8	135

Error

0.1b

Counts

135 → 8

Compiler

Compiled 4449 to 3429 computations (22.9% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7))))))
0.6b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
0.6b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
0.6b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))

rewrite68.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_3430`
18×	`cbrt-div_binary64_3520`
11×	`pow1_binary64_3549`
10×	`add-sqr-sqrt_binary64_3510`
9×	`flip3--_binary64_3492` `flip--_binary64_3463` `pow1/3_binary64_3570`
8×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
7×	`cbrt-prod_binary64_3519`
6×	`add-exp-log_binary64_3526`
4×	`swap-sqr_binary64_3455` `add-cbrt-cube_binary64_3524` `associate-l_binary64_3429` `frac-times_binary64_3498` `associate-r_binary64_3428` `add-log-exp_binary64_3527`
2×	`associate-*l/_binary64_3431` `pow-prod-up_binary64_3558` `pow-prod-down_binary64_3559` `pow-sqr_binary64_3461`
1×	`unswap-sqr_binary64_3456` `cbrt-unprod_binary64_3521` `pow2_binary64_3569` `pow-plus_binary64_3551` `*-commutative_binary64_3419` `prod-exp_binary64_3537`

Counts

4 → 72

Calls

4 calls:

14.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7))))))
12.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
12.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
12.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))

series8.9s (32.7%)

Counts

4 → 50

Calls

4 calls:

4.0s	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7))))))
1.6s	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
1.6s	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
1.6s	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))

Compiler

Compiled 10067 to 8495 computations (15.6% saved)

simplify114.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5000	7464

prune906.0ms (3.3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	116	14	130

Error

0.0b

Counts

130 → 14

Compiler

Compiled 12056 to 9555 computations (20.7% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7))))))
0.6b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
0.6b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
0.7b	(cbrt.f64 (.f64 (cos.f64 re) (+.f64 (.f64 1/2520 (pow.f64 im 7)) (+.f64 (.f64 1/60 (pow.f64 im 5)) (+.f64 (.f64 1/3 (pow.f64 im 3)) (*.f64 im 2))))))

rewrite74.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_3430`
18×	`cbrt-div_binary64_3520`
11×	`pow1_binary64_3549`
10×	`add-sqr-sqrt_binary64_3510`
9×	`pow1/3_binary64_3570`
8×	`flip3--_binary64_3492` `add-cube-cbrt_binary64_3523` `flip--_binary64_3463` `*-un-lft-identity_binary64_3488`
7×	`cbrt-prod_binary64_3519`
6×	`add-exp-log_binary64_3526`
4×	`swap-sqr_binary64_3455` `add-cbrt-cube_binary64_3524` `associate-l_binary64_3429` `frac-times_binary64_3498` `associate-r_binary64_3428` `add-log-exp_binary64_3527`
2×	`associate-*l/_binary64_3431` `pow-prod-up_binary64_3558` `pow-prod-down_binary64_3559` `pow-sqr_binary64_3461`
1×	`unswap-sqr_binary64_3456` `flip-+_binary64_3462` `flip3-+_binary64_3491` `cbrt-unprod_binary64_3521` `pow2_binary64_3569` `pow-plus_binary64_3551` `*-commutative_binary64_3419` `prod-exp_binary64_3537`

Counts

4 → 72

Calls

4 calls:

16.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7))))))
15.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
13.0ms	(cbrt.f64 (.f64 (cos.f64 re) (+.f64 (.f64 1/2520 (pow.f64 im 7)) (+.f64 (.f64 1/60 (pow.f64 im 5)) (+.f64 (.f64 1/3 (pow.f64 im 3)) (*.f64 im 2))))))
12.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))

series8.3s (30.4%)

Counts

4 → 50

Calls

4 calls:

4.0s	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7))))))
1.6s	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
1.6s	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
991.0ms	(cbrt.f64 (.f64 (cos.f64 re) (+.f64 (.f64 1/2520 (pow.f64 im 7)) (+.f64 (.f64 1/60 (pow.f64 im 5)) (+.f64 (.f64 1/3 (pow.f64 im 3)) (*.f64 im 2))))))

Compiler

Compiled 10045 to 8473 computations (15.6% saved)

simplify100.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4952	8053
1	4952	8053

prune865.0ms (3.2%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	10	11
Picked	0	1	1
Done	0	2	2
Total	122	14	136

Error

0.0b

Counts

136 → 14

Compiler

Compiled 11770 to 9322 computations (20.8% saved)

regimes772.0ms (2.8%)

Accuracy

Total 0.6b remaining (95.7%)

Threshold costs 0.6b (95.7%)

Compiler

Compiled 12198 to 10146 computations (16.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	104	39
1	104	39

end0.0ms (0%)

sample5.3s (19.5%)

Algorithm

1×

intervals

Results

1.8s	4821×	body	1024	valid
426.0ms	1883×	body	1024	invalid
354.0ms	1721×	body	512	valid
223.0ms	413×	body	2048	valid
166.0ms	1025×	body	512	invalid
87.0ms	652×	body	256	valid
54.0ms	486×	body	256	invalid
47.0ms	697×	body	128	invalid
26.0ms	393×	body	128	valid

Compiler

Compiled 2105 to 1747 computations (17% saved)

Details

analyze341.0ms (1.3%)

sample113.0ms (0.4%)

simplify178.0ms (0.7%)

prune4.0ms (0%)

localize9.0ms (0%)

rewrite21.0ms (0.1%)

series181.0ms (0.7%)

simplify73.0ms (0.3%)

prune78.0ms (0.3%)

localize17.0ms (0.1%)

rewrite43.0ms (0.2%)

series379.0ms (1.4%)

simplify78.0ms (0.3%)

prune263.0ms (1%)

localize26.0ms (0.1%)

rewrite68.0ms (0.2%)

series8.9s (32.7%)

simplify114.0ms (0.4%)

prune906.0ms (3.3%)

localize33.0ms (0.1%)

rewrite74.0ms (0.3%)

series8.3s (30.4%)

simplify100.0ms (0.4%)

prune865.0ms (3.2%)

regimes772.0ms (2.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.3s (19.5%)

Profiling