Details

analyze844.0ms (12.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4942	175
1	4942	175
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%	74.9%	25.1%	8
6.2%	68.6%	25.1%	9
7.8%	67.1%	25.1%	10
10.1%	64.7%	25.1%	11
14.8%	47.6%	37.6%	12
15.8%	36.8%	47.4%	13
16.6%	35.1%	48.3%	14

Compiler

Compiled 18 to 17 computations (5.6% saved)

sample48.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
10.0ms	178×	body	128	invalid
7.0ms	130×	body	128	nan

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify176.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (170.0ms)

Iter	Nodes	Cost
0	4864	25
1	4864	25

prune5.0ms (0.1%)

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

0.3b

Counts

2 → 1

Compiler

Compiled 32 to 30 computations (6.3% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 t))
0.0b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64_19553`
14×	`associate-r_binary64_19455`
13×	`add-sqr-sqrt_binary64_19537`
10×	`add-cube-cbrt_binary64_19550` `add-cbrt-cube_binary64_19551` `*-un-lft-identity_binary64_19515` `prod-exp_binary64_19564`
7×	`sqrt-prod_binary64_19531`
6×	`associate-*l/_binary64_19458` `unpow-prod-down_binary64_19594` `pow1_binary64_19576`
4×	`associate-l_binary64_19456` `cbrt-unprod_binary64_19548` `sqrt-pow1_binary64_19533`
3×	`add-log-exp_binary64_19554` `exp-prod_binary64_19567`
2×	`flip3--_binary64_19519` `pow-to-exp_binary64_19584` `pow-exp_binary64_19583` `*-commutative_binary64_19446` `flip--_binary64_19490`
1×	`sqr-pow_binary64_19487` `pow1/2_binary64_19595` `pow-prod-down_binary64_19586` `rem-sqrt-square_binary64_19528` `unswap-sqr_binary64_19483`

Counts

3 → 66

Calls

3 calls:

17.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
10.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
2.0ms	(sqrt.f64 (exp.f64 t))

series333.0ms (4.9%)

Counts

3 → 9

Calls

3 calls:

258.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
63.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
12.0ms	(sqrt.f64 (exp.f64 t))

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4981	1443
1	4981	1443

prune96.0ms (1.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	67	8	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	8	76

Error

0.0b

Counts

76 → 8

Compiler

Compiled 1818 to 1073 computations (41% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 t))
0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-exp-log_binary64_19553`
7×	`add-cbrt-cube_binary64_19551` `prod-exp_binary64_19564`
6×	`add-sqr-sqrt_binary64_19537`
5×	`add-cube-cbrt_binary64_19550` `pow1_binary64_19576` `*-un-lft-identity_binary64_19515`
4×	`sqrt-pow1_binary64_19533`
3×	`associate-l_binary64_19456` `cbrt-unprod_binary64_19548` `exp-prod_binary64_19567` `sqrt-prod_binary64_19531`
2×	`associate-*l/_binary64_19458` `add-log-exp_binary64_19554`
1×	`flip3--_binary64_19519` `pow-to-exp_binary64_19584` `pow-exp_binary64_19583` `pow1/2_binary64_19595` `-commutative_binary64_19446` `flip--_binary64_19490` `pow-prod-down_binary64_19586` `associate-r*_binary64_19455` `rem-sqrt-square_binary64_19528`

Counts

2 → 37

Calls

2 calls:

12.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))
2.0ms	(sqrt.f64 (exp.f64 t))

series277.0ms (4.1%)

Counts

2 → 6

Calls

2 calls:

265.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))
12.0ms	(sqrt.f64 (exp.f64 t))

simplify42.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	6384	804

prune55.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	43	8	51

Error

0.0b

Counts

51 → 8

Compiler

Compiled 1091 to 678 computations (37.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 t))
0.0b	(.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
0.2b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z))
0.5b	(.f64 (.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 2))

rewrite47.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-exp-log_binary64_19553`
22×	`prod-exp_binary64_19564` `associate-r_binary64_19455`
20×	`add-cbrt-cube_binary64_19551`
19×	`add-sqr-sqrt_binary64_19537`
14×	`add-cube-cbrt_binary64_19550` `*-un-lft-identity_binary64_19515`
13×	`sqrt-prod_binary64_19531`
12×	`associate-*l/_binary64_19458` `pow1_binary64_19576`
10×	`cbrt-unprod_binary64_19548`
6×	`unpow-prod-down_binary64_19594`
5×	`associate-l_binary64_19456`
4×	`add-log-exp_binary64_19554` `sqrt-pow1_binary64_19533` `pow-prod-down_binary64_19586`
3×	`flip3--_binary64_19519` `pow-to-exp_binary64_19584` `pow-exp_binary64_19583` `*-commutative_binary64_19446` `exp-prod_binary64_19567` `flip--_binary64_19490`
2×	`unswap-sqr_binary64_19483`
1×	`sqr-pow_binary64_19487` `pow1/2_binary64_19595` `rem-sqrt-square_binary64_19528`

Counts

4 → 96

Calls

4 calls:

15.0ms	(.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
11.0ms	(.f64 (.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 2))
10.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z))
2.0ms	(sqrt.f64 (exp.f64 t))

series402.0ms (6%)

Counts

4 → 12

Calls

4 calls:

274.0ms	(.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
71.0ms	(.f64 (.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 2))
44.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z))
13.0ms	(sqrt.f64 (exp.f64 t))

simplify81.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4966	2102
1	4966	2102

prune127.0ms (1.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	107	9	116

Error

0.0b

Counts

116 → 9

Compiler

Compiled 2578 to 1425 computations (44.7% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 z) (sqrt.f64 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
0.0b	(sqrt.f64 (exp.f64 t))
0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (*.f64 (sqrt.f64 z) (sqrt.f64 2)))
0.4b	(*.f64 (sqrt.f64 z) (sqrt.f64 2))

rewrite43.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-exp-log_binary64_19553`
23×	`add-sqr-sqrt_binary64_19537`
22×	`prod-exp_binary64_19564`
20×	`add-cbrt-cube_binary64_19551`
17×	`associate-r_binary64_19455`
16×	`sqrt-prod_binary64_19531`
14×	`add-cube-cbrt_binary64_19550` `pow1_binary64_19576` `*-un-lft-identity_binary64_19515`
10×	`associate-l_binary64_19456` `cbrt-unprod_binary64_19548`
6×	`associate-*l/_binary64_19458` `unpow-prod-down_binary64_19594` `sqrt-pow1_binary64_19533` `pow-prod-down_binary64_19586`
4×	`add-log-exp_binary64_19554` `unswap-sqr_binary64_19483`
3×	`pow-to-exp_binary64_19584` `pow-exp_binary64_19583` `pow1/2_binary64_19595` `*-commutative_binary64_19446` `exp-prod_binary64_19567`
2×	`flip3--_binary64_19519` `flip--_binary64_19490`
1×	`sqr-pow_binary64_19487` `sqrt-unprod_binary64_19535` `rem-sqrt-square_binary64_19528`

Counts

4 → 99

Calls

4 calls:

15.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 z) (sqrt.f64 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
10.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (*.f64 (sqrt.f64 z) (sqrt.f64 2)))
7.0ms	(*.f64 (sqrt.f64 z) (sqrt.f64 2))
2.0ms	(sqrt.f64 (exp.f64 t))

series391.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

282.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 z) (sqrt.f64 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
73.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (*.f64 (sqrt.f64 z) (sqrt.f64 2)))
23.0ms	(*.f64 (sqrt.f64 z) (sqrt.f64 2))
12.0ms	(sqrt.f64 (exp.f64 t))

simplify101.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4964	2069
1	4964	2069

prune323.0ms (4.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	111	9	120

Error

0.0b

Counts

120 → 9

Compiler

Compiled 2487 to 1326 computations (46.7% saved)

regimes872.0ms (12.9%)

Accuracy

Total 0.3b remaining (98.1%)

Threshold costs 0.3b (98.1%)

Compiler

Compiled 9452 to 8577 computations (9.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	25
1	30	25

end0.0ms (0%)

sample2.3s (34.1%)

Algorithm

1×

intervals

Results

425.0ms	8000×	body	128	valid
336.0ms	6240×	body	128	invalid
242.0ms	4414×	body	128	nan

Compiler

Compiled 749 to 677 computations (9.6% saved)

Details

analyze844.0ms (12.5%)

sample48.0ms (0.7%)

simplify176.0ms (2.6%)

prune5.0ms (0.1%)

localize13.0ms (0.2%)

rewrite35.0ms (0.5%)

series333.0ms (4.9%)

simplify72.0ms (1.1%)

prune96.0ms (1.4%)

localize16.0ms (0.2%)

rewrite17.0ms (0.3%)

series277.0ms (4.1%)

simplify42.0ms (0.6%)

prune55.0ms (0.8%)

localize14.0ms (0.2%)

rewrite47.0ms (0.7%)

series402.0ms (6%)

simplify81.0ms (1.2%)

prune127.0ms (1.9%)

localize17.0ms (0.3%)

rewrite43.0ms (0.6%)

series391.0ms (5.8%)

simplify101.0ms (1.5%)

prune323.0ms (4.8%)

regimes872.0ms (12.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.3s (34.1%)

Profiling