Details

analyze3.4s (14.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1713	273
1	1713	273
0	4	4
1	4	4

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
7.8%	92%	0.2%	9
7.8%	92%	0.2%	10
10.1%	89.7%	0.2%	11
10.1%	89.7%	0.2%	12
13.9%	85.9%	0.2%	13
13.9%	85.9%	0.2%	14

Compiler

Compiled 25 to 18 computations (28% saved)

sample262.0ms (1.1%)

Algorithm

1×

intervals

Results

203.0ms	181×	body	1024	valid
31.0ms	46×	body	512	valid
6.0ms	13×	body	256	valid
3.0ms	16×	body	128	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify24.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	385	39
1	385	39

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

12.4b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.3b	(cos.f64 (-.f64 lambda1 lambda2))
2.4b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite144.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

5.7b

Rules

11×	`add-sqr-sqrt_binary64_2146` `pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
9×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
6×	`cancel-sign-sub-inv_binary64_2090` `associate-r_binary64_2064`
4×	`sin-sum_binary64_2257` `add-log-exp_binary64_2163` `cos-sum_binary64_2258` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-l_binary64_2065`
3×	`cos-diff_binary64_2261`
2×	`sub-neg_binary64_2117` `*-commutative_binary64_2055`
1×	`sin-diff_binary64_2260` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `sin-cos-mult_binary64_2280` `associate-*l/_binary64_2067` `unswap-sqr_binary64_2092`

Counts

4 → 63

Calls

4 calls:

8.0ms	(cos.f64 (-.f64 lambda1 lambda2))
7.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
5.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
5.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2012 to 363 computations (82% saved)

series818.0ms (3.4%)

Error

8.7b

Counts

4 → 54

Calls

4 calls:

451.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
139.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
71.0ms	(cos.f64 (-.f64 lambda1 lambda2))
63.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4036 to 1922 computations (52.4% saved)

simplify92.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4947	1875
1	4947	1875

prune210.0ms (0.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	101	16	117
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	16	118

Error

5.7b

Counts

118 → 16

Compiler

Compiled 3888 to 839 computations (78.4% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.3b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite142.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-sqr-sqrt_binary64_2146`
13×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
10×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
9×	`associate-r_binary64_2064`
7×	`associate-l_binary64_2065`
5×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
4×	`cos-sum_binary64_2258` `add-log-exp_binary64_2163`
3×	`cos-diff_binary64_2261` `cancel-sign-sub-inv_binary64_2090` `*-commutative_binary64_2055`
2×	`unswap-sqr_binary64_2092`
1×	`sub-neg_binary64_2117` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `sin-cos-mult_binary64_2280` `associate-*l/_binary64_2067`

Counts

4 → 69

Calls

4 calls:

8.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
6.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2635 to 406 computations (84.6% saved)

series914.0ms (3.8%)

Error

5.3b

Counts

4 → 51

Calls

4 calls:

500.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
143.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
122.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
65.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4769 to 2316 computations (51.4% saved)

simplify125.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4997	1818
1	4997	1818

prune215.0ms (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	115	5	120
Fresh	8	7	15
Picked	1	0	1
Done	0	0	0
Total	124	12	136

Error

0.1b

Counts

136 → 12

Compiler

Compiled 4695 to 824 computations (82.4% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

rewrite201.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_2146`
15×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
12×	`associate-r_binary64_2064`
11×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
10×	`associate-l_binary64_2065`
6×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
4×	`add-log-exp_binary64_2163` `*-commutative_binary64_2055` `sin-cos-mult_binary64_2280`
3×	`sin-mult_binary64_2279` `unswap-sqr_binary64_2092` `frac-times_binary64_2134` `associate-*r/_binary64_2066`
2×	`cos-mult_binary64_2278` `frac-add_binary64_2132` `flip3-+_binary64_2127` `flip-+_binary64_2098`
1×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `associate-*l/_binary64_2067`

Counts

4 → 82

Calls

4 calls:

17.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
7.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
6.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 3862 to 518 computations (86.6% saved)

series1.4s (5.7%)

Error

0.1b

Counts

4 → 51

Calls

4 calls:

857.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
174.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
130.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
130.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))

Compiler

Compiled 6008 to 2623 computations (56.3% saved)

simplify103.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4999	2992
1	4999	2992

prune292.0ms (1.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	127	6	133
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	131	14	145

Error

0.0b

Counts

145 → 14

Compiler

Compiled 6555 to 1092 computations (83.3% saved)

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 lambda1)) (cbrt.f64 (sin.f64 lambda1)))
0.7b	(cbrt.f64 (sin.f64 lambda1))
0.7b	(cbrt.f64 (sin.f64 lambda1))
0.7b	(cbrt.f64 (sin.f64 lambda1))

rewrite191.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_2155`
23×	`add-sqr-sqrt_binary64_2146`
15×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
11×	`pow1_binary64_2185`
9×	`pow1/3_binary64_2206`
6×	`add-exp-log_binary64_2162` `swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064`
4×	`add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160` `unswap-sqr_binary64_2092`
2×	`pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097`
1×	`pow2_binary64_2205` `pow-plus_binary64_2187` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `*-commutative_binary64_2055`

Counts

4 → 73

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (sin.f64 lambda1)) (cbrt.f64 (sin.f64 lambda1)))
2.0ms	(cbrt.f64 (sin.f64 lambda1))
2.0ms	(cbrt.f64 (sin.f64 lambda1))
2.0ms	(cbrt.f64 (sin.f64 lambda1))

Compiler

Compiled 3847 to 544 computations (85.9% saved)

series455.0ms (1.9%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

129.0ms	(*.f64 (cbrt.f64 (sin.f64 lambda1)) (cbrt.f64 (sin.f64 lambda1)))
121.0ms	(cbrt.f64 (sin.f64 lambda1))
92.0ms	(cbrt.f64 (sin.f64 lambda1))
82.0ms	(cbrt.f64 (sin.f64 lambda1))

Compiler

Compiled 2198 to 1085 computations (50.6% saved)

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4890	770
1	4890	770

prune159.0ms (0.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	89	14	103

Error

0.0b

Counts

103 → 14

Compiler

Compiled 4402 to 637 computations (85.5% saved)

regimes2.2s (9.1%)

Accuracy

Total 0.1b remaining (72.3%)

Threshold costs 0.1b (72.3%)

Compiler

Compiled 27455 to 17273 computations (37.1% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	148	89
1	148	89

end0.0ms (0%)

sample12.6s (52.2%)

Algorithm

1×

intervals

Results

6.2s	5333×	body	1024	valid
899.0ms	1281×	body	512	valid
464.0ms	192×	body	2048	valid
173.0ms	389×	body	256	valid
173.0ms	805×	body	128	valid

Compiler

Compiled 4494 to 2818 computations (37.3% saved)

Details

analyze3.4s (14.1%)

sample262.0ms (1.1%)

simplify24.0ms (0.1%)

prune3.0ms (0%)

localize19.0ms (0.1%)

rewrite144.0ms (0.6%)

series818.0ms (3.4%)

simplify92.0ms (0.4%)

prune210.0ms (0.9%)

localize45.0ms (0.2%)

rewrite142.0ms (0.6%)

series914.0ms (3.8%)

simplify125.0ms (0.5%)

prune215.0ms (0.9%)

localize35.0ms (0.1%)

rewrite201.0ms (0.8%)

series1.4s (5.7%)

simplify103.0ms (0.4%)

prune292.0ms (1.2%)

localize48.0ms (0.2%)

rewrite191.0ms (0.8%)

series455.0ms (1.9%)

simplify66.0ms (0.3%)

prune159.0ms (0.7%)

regimes2.2s (9.1%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample12.6s (52.2%)

Profiling