Details

analyze1.4s (10.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5265	209
0	5	5
1	5	5

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
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample34.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	253×	body	128	valid
1.0ms	23×	body	128	invalid
1.0ms	2×	body	2048	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify180.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (169.0ms)

Iter	Nodes	Cost
0	5048	19

prune3.0ms (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

0.9b

Counts

2 → 1

Compiler

Compiled 26 to 26 computations (0% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
0.0b	(*.f64 60 (-.f64 x y))
0.9b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

rewrite162.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_18855`
15×	`*-un-lft-identity_binary64_18833`
10×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
9×	`add-cube-cbrt_binary64_18868`
6×	`cancel-sign-sub-inv_binary64_18799`
5×	`pow1_binary64_18894` `add-log-exp_binary64_18872` `times-frac_binary64_18839` `associate-/r_binary64_18777` `associate-r*_binary64_18773`
4×	`associate-*r/_binary64_18775` `distribute-rgt-in_binary64_18783` `distribute-lft-in_binary64_18782`
3×	`difference-of-squares_binary64_18802` `distribute-lft-out--_binary64_18785` `flip3--_binary64_18837` `flip--_binary64_18808` `associate-l_binary64_18774`
2×	`prod-exp_binary64_18882` `div-exp_binary64_18884` `cbrt-undiv_binary64_18867` `cbrt-unprod_binary64_18866` `associate-/l/_binary64_18780` `associate-/r/_binary64_18779` `sub-neg_binary64_18826`
1×	`frac-2neg_binary64_18844` `clear-num_binary64_18832` `div-inv_binary64_18830` `associate-/l_binary64_18778` `pow-prod-down_binary64_18904` `unswap-sqr_binary64_18801` `-commutative_binary64_18764` `sum-log_binary64_18924` `flip3-+_binary64_18836` `flip-+_binary64_18807` `+-commutative_binary64_18763`

Counts

3 → 70

Calls

3 calls:

29.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
10.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
9.0ms	(*.f64 60 (-.f64 x y))

Compiler

Compiled 1484 to 742 computations (50% saved)

series1.1s (8.9%)

Error

0.1b

Counts

3 → 76

Calls

3 calls:

612.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
359.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
65.0ms	(*.f64 60 (-.f64 x y))

Compiler

Compiled 4101 to 3093 computations (24.6% saved)

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5017	2510

prune189.0ms (1.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	140	6	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	141	6	147

Error

0.0b

Counts

147 → 6

Compiler

Compiled 2637 to 1283 computations (51.3% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
0.0b	(/.f64 (-.f64 x y) (-.f64 z t))
0.2b	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))

rewrite157.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

76×	`add-sqr-sqrt_binary64_18855`
71×	`*-un-lft-identity_binary64_18833`
51×	`times-frac_binary64_18839`
31×	`associate-r_binary64_18773`
27×	`add-cube-cbrt_binary64_18868`
22×	`difference-of-squares_binary64_18802` `distribute-lft-out--_binary64_18785`
10×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
5×	`pow1_binary64_18894` `add-log-exp_binary64_18872` `associate-/l_binary64_18778` `associate-/r_binary64_18777`
4×	`associate-/r/_binary64_18779`
3×	`associate-l_binary64_18774` `flip3--_binary64_18837` `flip--_binary64_18808`
2×	`div-exp_binary64_18884` `prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `cbrt-undiv_binary64_18867` `unswap-sqr_binary64_18801` `div-inv_binary64_18830` `associate-/l/_binary64_18780`
1×	`pow-prod-down_binary64_18904` `associate-r/_binary64_18775` `-commutative_binary64_18764` `frac-2neg_binary64_18844` `div-sub_binary64_18838` `clear-num_binary64_18832` `sum-log_binary64_18924` `flip3-+_binary64_18836` `flip-+_binary64_18807` `+-commutative_binary64_18763`

Counts

3 → 113

Calls

3 calls:

26.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
11.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
8.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

Compiler

Compiled 2615 to 988 computations (62.2% saved)

series1.5s (11.5%)

Error

0.0b

Counts

3 → 91

Calls

3 calls:

687.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
384.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
276.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

Compiler

Compiled 5289 to 3859 computations (27% saved)

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5287	3924

prune190.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	204	6	210

Error

0.0b

Counts

210 → 6

Compiler

Compiled 4055 to 1586 computations (60.9% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
0.1b	(/.f64 (-.f64 z t) (-.f64 x y))
0.5b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

rewrite575.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

218×	`times-frac_binary64_18839`
195×	`add-sqr-sqrt_binary64_18855` `*-un-lft-identity_binary64_18833`
91×	`add-cube-cbrt_binary64_18868`
52×	`difference-of-squares_binary64_18802` `distribute-lft-out--_binary64_18785`
36×	`associate-/r*_binary64_18777`
11×	`associate-/r/_binary64_18779`
10×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
8×	`associate-/l*_binary64_18778`
6×	`div-inv_binary64_18830` `flip3--_binary64_18837` `flip--_binary64_18808`
5×	`add-log-exp_binary64_18872`
4×	`div-exp_binary64_18884` `cbrt-undiv_binary64_18867`
3×	`pow1_binary64_18894`
2×	`frac-2neg_binary64_18844` `clear-num_binary64_18832` `associate-/l/_binary64_18780`
1×	`div-sub_binary64_18838` `sum-log_binary64_18924` `flip3-+_binary64_18836` `flip-+_binary64_18807` `+-commutative_binary64_18763`

Counts

3 → 205

Calls

3 calls:

54.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
13.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

Compiler

Compiled 5229 to 2073 computations (60.4% saved)

series1.4s (10.7%)

Error

0.0b

Counts

3 → 85

Calls

3 calls:

636.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
375.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
250.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

Compiler

Compiled 4701 to 3475 computations (26.1% saved)

simplify136.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

290 → 290

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4969	6948
1	4969	6948

prune357.0ms (2.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	289	1	290
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	291	5	296

Error

0.0b

Counts

296 → 5

Compiler

Compiled 6370 to 2439 computations (61.7% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 60 (-.f64 z t))
0.0b	(+.f64 (.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))) (.f64 a 120))
0.2b	(*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t)))

rewrite161.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

44×	`add-sqr-sqrt_binary64_18855`
39×	`*-un-lft-identity_binary64_18833`
31×	`times-frac_binary64_18839`
23×	`add-cube-cbrt_binary64_18868`
21×	`associate-r_binary64_18773`
10×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
8×	`difference-of-squares_binary64_18802` `distribute-lft-out--_binary64_18785`
5×	`pow1_binary64_18894` `add-log-exp_binary64_18872` `associate-l_binary64_18774` `associate-/r*_binary64_18777`
4×	`flip3--_binary64_18837` `flip--_binary64_18808` `associate-/r/_binary64_18779`
3×	`associate-/l*_binary64_18778`
2×	`div-exp_binary64_18884` `prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `cbrt-undiv_binary64_18867` `frac-times_binary64_18843` `unswap-sqr_binary64_18801` `associate-*l/_binary64_18776` `div-inv_binary64_18830`
1×	`pow-prod-down_binary64_18904` `associate-r/_binary64_18775` `-commutative_binary64_18764` `sum-log_binary64_18924` `flip3-+_binary64_18836` `flip-+_binary64_18807` `+-commutative_binary64_18763` `frac-2neg_binary64_18844` `clear-num_binary64_18832`

Counts

3 → 94

Calls

3 calls:

28.0ms	(*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t)))
13.0ms	(+.f64 (.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))) (.f64 a 120))
5.0ms	(/.f64 60 (-.f64 z t))

Compiler

Compiled 2092 to 1047 computations (50% saved)

series1.2s (9.4%)

Error

0.0b

Counts

3 → 79

Calls

3 calls:

603.0ms	(+.f64 (.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))) (.f64 a 120))
384.0ms	(*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t)))
118.0ms	(/.f64 60 (-.f64 z t))

Compiler

Compiled 4494 to 3414 computations (24% saved)

simplify91.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5019	3151

prune197.0ms (1.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	173	5	178

Error

0.0b

Counts

178 → 5

Compiler

Compiled 3217 to 1551 computations (51.8% saved)

regimes1.4s (11.4%)

Accuracy

Total 0.1b remaining (91.9%)

Threshold costs 0.1b (91.9%)

Compiler

Compiled 13306 to 11187 computations (15.9% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	61	28
1	61	28

end0.0ms (0%)

sample2.0s (16.2%)

Algorithm

1×

intervals

Results

418.0ms	7860×	body	128	valid
32.0ms	657×	body	128	invalid
10.0ms	53×	body	1024	valid
8.0ms	32×	body	2048	valid
4.0ms	31×	body	512	valid
2.0ms	21×	body	256	valid
1.0ms	3×	body	4096	valid

Compiler

Compiled 1118 to 948 computations (15.2% saved)

Details

analyze1.4s (10.7%)

sample34.0ms (0.3%)

simplify180.0ms (1.4%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite162.0ms (1.3%)

series1.1s (8.9%)

simplify66.0ms (0.5%)

prune189.0ms (1.5%)

localize15.0ms (0.1%)

rewrite157.0ms (1.2%)

series1.5s (11.5%)

simplify82.0ms (0.7%)

prune190.0ms (1.5%)

localize16.0ms (0.1%)

rewrite575.0ms (4.6%)

series1.4s (10.7%)

simplify136.0ms (1.1%)

prune357.0ms (2.8%)

localize20.0ms (0.2%)

rewrite161.0ms (1.3%)

series1.2s (9.4%)

simplify91.0ms (0.7%)

prune197.0ms (1.6%)

regimes1.4s (11.4%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample2.0s (16.2%)

Profiling