Details

analyze379.0ms (9.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	52
1	107	52
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
31.2%	64%	4.8%	9
31.2%	42.1%	26.7%	10
35.9%	37.1%	27.1%	11
38.2%	32.2%	29.6%	12
47.8%	21.6%	30.6%	13
50.2%	19%	30.8%	14

Compiler

Compiled 16 to 9 computations (43.8% saved)

sample28.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	41	13
1	41	13

prune4.0ms (0.1%)

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

0.0b

Counts

2 → 2

Compiler

Compiled 33 to 24 computations (27.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
0.2b	(.f64 z (.f64 z 3))

rewrite44.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_14802` `add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
4×	`add-log-exp_binary64_14780`
3×	`pow-prod-down_binary64_14812` `prod-exp_binary64_14790` `add-cube-cbrt_binary64_14776` `cbrt-unprod_binary64_14774` `add-sqr-sqrt_binary64_14763` `-un-lft-identity_binary64_14741` `associate-l*_binary64_14682`
1×	`associate-r_binary64_14681` `*-commutative_binary64_14672` `sum-log_binary64_14832` `flip3-+_binary64_14744` `flip-+_binary64_14715` `+-commutative_binary64_14671`

Counts

2 → 29

Calls

2 calls:

5.0ms	(.f64 z (.f64 z 3))
4.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))

Compiler

Compiled 476 to 253 computations (46.8% saved)

series176.0ms (4.2%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

142.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
22.0ms	(.f64 z (.f64 z 3))

Compiler

Compiled 394 to 344 computations (12.7% saved)

simplify93.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4926	545
1	4926	545

prune38.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	46	6	52

Error

0.0b

Counts

52 → 6

Compiler

Compiled 623 to 299 computations (52% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
0.0b	(+.f64 (.f64 x y) (.f64 z z))
0.1b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

rewrite57.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-log-exp_binary64_14780`
10×	`sum-log_binary64_14832`
3×	`pow1_binary64_14802` `add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777` `add-cube-cbrt_binary64_14776` `add-sqr-sqrt_binary64_14763` `flip3-+_binary64_14744` `*-un-lft-identity_binary64_14741` `flip-+_binary64_14715` `+-commutative_binary64_14671`
2×	`associate-+l+_binary64_14674`

Counts

3 → 38

Calls

3 calls:

9.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
5.0ms	(+.f64 (.f64 x y) (.f64 z z))

Compiler

Compiled 1006 to 149 computations (85.2% saved)

series426.0ms (10.3%)

Error

0.0b

Counts

3 → 54

Calls

3 calls:

151.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
148.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
99.0ms	(+.f64 (.f64 x y) (.f64 z z))

Compiler

Compiled 1409 to 924 computations (34.4% saved)

simplify74.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4860	1115
1	4860	1115

prune58.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	91	7	98

Error

0.0b

Counts

98 → 7

Compiler

Compiled 1349 to 370 computations (72.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 3 (.f64 z z))
0.4b	(.f64 (sqrt.f64 (.f64 3 (.f64 z z))) (sqrt.f64 (.f64 3 (*.f64 z z))))
15.7b	(sqrt.f64 (.f64 3 (.f64 z z)))
15.7b	(sqrt.f64 (.f64 3 (.f64 z z)))

rewrite148.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

148×	`pow1_binary64_14802`
80×	`pow-prod-down_binary64_14812`
66×	`sqrt-pow1_binary64_14759`
17×	`pow-prod-up_binary64_14811`
14×	`pow1/2_binary64_14821`
12×	`add-sqr-sqrt_binary64_14763`
11×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777` `pow-sqr_binary64_14714`
9×	`add-cube-cbrt_binary64_14776` `*-un-lft-identity_binary64_14741`
7×	`associate-l_binary64_14682`
6×	`sqrt-prod_binary64_14757`
5×	`associate-r_binary64_14681`
4×	`add-log-exp_binary64_14780` `prod-exp_binary64_14790` `cbrt-unprod_binary64_14774` `swap-sqr_binary64_14708`
2×	`unswap-sqr_binary64_14709` `*-commutative_binary64_14672`
1×	`pow2_binary64_14822` `pow-plus_binary64_14804` `sqrt-unprod_binary64_14761` `rem-square-sqrt_binary64_14753`

Counts

4 → 109

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (.f64 3 (.f64 z z))) (sqrt.f64 (.f64 3 (*.f64 z z))))
5.0ms	(.f64 3 (.f64 z z))
4.0ms	(sqrt.f64 (.f64 3 (.f64 z z)))
4.0ms	(sqrt.f64 (.f64 3 (.f64 z z)))

Compiler

Compiled 2280 to 1253 computations (45% saved)

series146.0ms (3.5%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

51.0ms	(.f64 (sqrt.f64 (.f64 3 (.f64 z z))) (sqrt.f64 (.f64 3 (*.f64 z z))))
30.0ms	(sqrt.f64 (.f64 3 (.f64 z z)))
30.0ms	(sqrt.f64 (.f64 3 (.f64 z z)))
25.0ms	(.f64 3 (.f64 z z))

Compiler

Compiled 543 to 437 computations (19.5% saved)

simplify76.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4997	772
1	4997	772

prune100.0ms (2.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	122	6	128

Error

0.0b

Counts

128 → 6

Compiler

Compiled 1936 to 1033 computations (46.6% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (sqrt.f64 (.f64 3 (*.f64 z z))) (fabs.f64 z))
0.2b	(.f64 3 (.f64 z z))
0.3b	(.f64 (sqrt.f64 3) (.f64 (sqrt.f64 (.f64 3 (.f64 z z))) (fabs.f64 z)))
15.7b	(sqrt.f64 (.f64 3 (.f64 z z)))

rewrite109.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`pow1_binary64_14802`
16×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
13×	`associate-l_binary64_14682`
12×	`add-sqr-sqrt_binary64_14763`
10×	`pow-prod-down_binary64_14812`
9×	`add-cube-cbrt_binary64_14776` `*-un-lft-identity_binary64_14741`
7×	`prod-exp_binary64_14790` `cbrt-unprod_binary64_14774`
5×	`sqrt-prod_binary64_14757` `associate-r_binary64_14681`
4×	`add-log-exp_binary64_14780`
3×	`sqrt-pow1_binary64_14759` `*-commutative_binary64_14672`
2×	`unswap-sqr_binary64_14709`
1×	`pow1/2_binary64_14821`

Counts

4 → 71

Calls

4 calls:

11.0ms	(.f64 (sqrt.f64 3) (.f64 (sqrt.f64 (.f64 3 (.f64 z z))) (fabs.f64 z)))
8.0ms	(.f64 (sqrt.f64 (.f64 3 (*.f64 z z))) (fabs.f64 z))
6.0ms	(.f64 3 (.f64 z z))
4.0ms	(sqrt.f64 (.f64 3 (.f64 z z)))

Compiler

Compiled 1619 to 908 computations (43.9% saved)

series178.0ms (4.3%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

66.0ms	(.f64 (sqrt.f64 3) (.f64 (sqrt.f64 (.f64 3 (.f64 z z))) (fabs.f64 z)))
45.0ms	(.f64 (sqrt.f64 (.f64 3 (*.f64 z z))) (fabs.f64 z))
31.0ms	(sqrt.f64 (.f64 3 (.f64 z z)))
26.0ms	(.f64 3 (.f64 z z))

Compiler

Compiled 531 to 440 computations (17.1% saved)

simplify77.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4901	1105
1	4901	1105

prune81.0ms (2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	83	6	89

Error

0.0b

Counts

89 → 6

Compiler

Compiled 1606 to 968 computations (39.7% saved)

regimes328.0ms (7.9%)

Accuracy

Total 0.1b remaining (96.9%)

Threshold costs 0.1b (96.9%)

Compiler

Compiled 3238 to 2551 computations (21.2% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

Compiler

Compiled 18 to 16 computations (11.1% saved)

end0.0ms (0%)

sample1.5s (35.5%)

Algorithm

1×

intervals

Results

262.0ms	8000×	body	128	valid
14.0ms	475×	body	128	invalid

Compiler

Compiled 538 to 425 computations (21% saved)

Details

analyze379.0ms (9.2%)

sample28.0ms (0.7%)

simplify8.0ms (0.2%)

prune4.0ms (0.1%)

localize6.0ms (0.1%)

rewrite44.0ms (1.1%)

series176.0ms (4.2%)

simplify93.0ms (2.3%)

prune38.0ms (0.9%)

localize7.0ms (0.2%)

rewrite57.0ms (1.4%)

series426.0ms (10.3%)

simplify74.0ms (1.8%)

prune58.0ms (1.4%)

localize10.0ms (0.3%)

rewrite148.0ms (3.6%)

series146.0ms (3.5%)

simplify76.0ms (1.8%)

prune100.0ms (2.4%)

localize12.0ms (0.3%)

rewrite109.0ms (2.6%)

series178.0ms (4.3%)

simplify77.0ms (1.9%)

prune81.0ms (2%)

regimes328.0ms (7.9%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

end0.0ms (0%)

sample1.5s (35.5%)

Profiling