Details

analyze572.0ms (11.2%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	48%	8.7%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	23.7%	15%	13
65%	19.8%	15.3%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample29.0ms (0.6%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
1.0ms	18×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify225.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	549	13
1	549	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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
0.0b	(*.f64 (-.f64 y x) 6)
0.2b	(.f64 (.f64 (-.f64 y x) 6) z)

rewrite42.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_22281` `add-sqr-sqrt_binary64_22265` `pow1_binary64_22304` `add-cbrt-cube_binary64_22279`
8×	`*-un-lft-identity_binary64_22243`
6×	`associate-r_binary64_22183` `associate-l/_binary64_22186` `add-cube-cbrt_binary64_22278` `associate-l*_binary64_22184`
5×	`add-log-exp_binary64_22282`
4×	`cbrt-unprod_binary64_22276` `pow-prod-down_binary64_22314` `prod-exp_binary64_22292`
2×	`flip--_binary64_22218` `flip3--_binary64_22247` `*-commutative_binary64_22174`
1×	`flip3-+_binary64_22246` `+-commutative_binary64_22173` `difference-of-squares_binary64_22212` `flip-+_binary64_22217` `distribute-lft-out--_binary64_22195` `sum-log_binary64_22334` `unswap-sqr_binary64_22211`

Counts

3 → 53

Calls

3 calls:

16.0ms	(.f64 (.f64 (-.f64 y x) 6) z)
13.0ms	(*.f64 (-.f64 y x) 6)
7.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))

series166.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

66.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
65.0ms	(.f64 (.f64 (-.f64 y x) 6) z)
35.0ms	(*.f64 (-.f64 y x) 6)

simplify115.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5313	767

prune112.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	55	7	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	8	63

Merged error: 0.0b

Counts

63 → 8

Compiler

Compiled 952 to 510 computations (46.4% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
0.2b	(.f64 (-.f64 y x) (.f64 6 z))

rewrite28.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_22281` `pow1_binary64_22304` `add-cbrt-cube_binary64_22279`
5×	`add-sqr-sqrt_binary64_22265` `-un-lft-identity_binary64_22243` `associate-l*_binary64_22184`
4×	`add-log-exp_binary64_22282`
3×	`add-cube-cbrt_binary64_22278` `cbrt-unprod_binary64_22276` `pow-prod-down_binary64_22314` `prod-exp_binary64_22292`
2×	`associate-*l/_binary64_22186`
1×	`associate-r_binary64_22183` `flip--_binary64_22218` `flip3-+_binary64_22246` `+-commutative_binary64_22173` `flip3--_binary64_22247` `difference-of-squares_binary64_22212` `*-commutative_binary64_22174` `flip-+_binary64_22217` `distribute-lft-out--_binary64_22195` `sum-log_binary64_22334`

Counts

2 → 33

Calls

2 calls:

16.0ms	(.f64 (-.f64 y x) (.f64 6 z))
7.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))

series123.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

65.0ms	(.f64 (-.f64 y x) (.f64 6 z))
57.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))

simplify108.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5130	552

prune65.0ms (1.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	39	8	47

Merged error: 0.0b

Counts

47 → 8

Compiler

Compiled 640 to 346 computations (45.9% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z))
0.2b	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z)
0.6b	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6))
0.6b	(*.f64 (-.f64 y x) (sqrt.f64 6))

rewrite89.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-exp-log_binary64_22281` `pow1_binary64_22304` `add-cbrt-cube_binary64_22279`
16×	`add-sqr-sqrt_binary64_22265`
15×	`associate-r_binary64_22183`
12×	`-un-lft-identity_binary64_22243` `associate-l/_binary64_22186`
10×	`add-cube-cbrt_binary64_22278` `cbrt-unprod_binary64_22276` `pow-prod-down_binary64_22314` `prod-exp_binary64_22292`
7×	`associate-l_binary64_22184` `sqrt-prod_binary64_22259`
6×	`add-log-exp_binary64_22282`
3×	`flip--_binary64_22218` `flip3--_binary64_22247` `*-commutative_binary64_22174`
2×	`unswap-sqr_binary64_22211`
1×	`flip3-+_binary64_22246` `+-commutative_binary64_22173` `difference-of-squares_binary64_22212` `flip-+_binary64_22217` `distribute-lft-out--_binary64_22195` `sum-log_binary64_22334`

Counts

4 → 83

Calls

4 calls:

25.0ms	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z)
23.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6))
17.0ms	(*.f64 (-.f64 y x) (sqrt.f64 6))
7.0ms	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z))

series426.0ms (8.3%)

Counts

4 → 12

Calls

4 calls:

149.0ms	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z)
130.0ms	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z))
89.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6))
57.0ms	(*.f64 (-.f64 y x) (sqrt.f64 6))

simplify104.0ms (2%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5055	1164

prune148.0ms (2.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	96	7	103

Merged error: 0.0b

Counts

103 → 7

Compiler

Compiled 1536 to 905 computations (41.1% saved)

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 y x) (sqrt.f64 (sqrt.f64 6)))
0.2b	(.f64 (.f64 (-.f64 y x) (sqrt.f64 (sqrt.f64 6))) (sqrt.f64 (sqrt.f64 6)))
0.3b	(.f64 (.f64 (.f64 (.f64 (-.f64 y x) (sqrt.f64 (sqrt.f64 6))) (sqrt.f64 (sqrt.f64 6))) (sqrt.f64 6)) z)
0.6b	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 (sqrt.f64 6))) (sqrt.f64 (sqrt.f64 6))) (sqrt.f64 6))

rewrite138.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-exp-log_binary64_22281` `pow1_binary64_22304` `add-cbrt-cube_binary64_22279`
27×	`associate-r_binary64_22183`
24×	`sqrt-prod_binary64_22259`
22×	`add-sqr-sqrt_binary64_22265`
20×	`associate-*l/_binary64_22186` `cbrt-unprod_binary64_22276` `pow-prod-down_binary64_22314` `prod-exp_binary64_22292`
16×	`*-un-lft-identity_binary64_22243`
14×	`add-cube-cbrt_binary64_22278`
8×	`associate-l_binary64_22184`
4×	`add-log-exp_binary64_22282` `flip--_binary64_22218` `flip3--_binary64_22247` `*-commutative_binary64_22174`
3×	`unswap-sqr_binary64_22211`
1×	`difference-of-squares_binary64_22212` `distribute-lft-out--_binary64_22195`

Counts

4 → 108

Calls

4 calls:

36.0ms	(.f64 (.f64 (.f64 (.f64 (-.f64 y x) (sqrt.f64 (sqrt.f64 6))) (sqrt.f64 (sqrt.f64 6))) (sqrt.f64 6)) z)
33.0ms	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 (sqrt.f64 6))) (sqrt.f64 (sqrt.f64 6))) (sqrt.f64 6))
27.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 (sqrt.f64 6))) (sqrt.f64 (sqrt.f64 6)))
21.0ms	(*.f64 (-.f64 y x) (sqrt.f64 (sqrt.f64 6)))

series404.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

154.0ms	(.f64 (.f64 (.f64 (.f64 (-.f64 y x) (sqrt.f64 (sqrt.f64 6))) (sqrt.f64 (sqrt.f64 6))) (sqrt.f64 6)) z)
94.0ms	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 (sqrt.f64 6))) (sqrt.f64 (sqrt.f64 6))) (sqrt.f64 6))
87.0ms	(*.f64 (-.f64 y x) (sqrt.f64 (sqrt.f64 6)))
68.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 (sqrt.f64 6))) (sqrt.f64 (sqrt.f64 6)))

simplify113.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5266	1462

prune208.0ms (4.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	120	7	127

Merged error: 0b

Counts

127 → 7

Compiler

Compiled 2136 to 1408 computations (34.1% saved)

regimes270.0ms (5.3%)

Compiler: Compiled 1388 to 1130 computations (18.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample1.5s (30.3%)

Algorithm

1×

intervals

Results

459.0ms	8000×	body	128	valid
32.0ms	591×	body	128	invalid

Compiler

Compiled 369 to 302 computations (18.2% saved)

Details

analyze572.0ms (11.2%)

sample29.0ms (0.6%)

simplify225.0ms (4.4%)

prune4.0ms (0.1%)

localize14.0ms (0.3%)

rewrite42.0ms (0.8%)

series166.0ms (3.3%)

simplify115.0ms (2.2%)

prune112.0ms (2.2%)

localize12.0ms (0.2%)

rewrite28.0ms (0.5%)

series123.0ms (2.4%)

simplify108.0ms (2.1%)

prune65.0ms (1.3%)

localize17.0ms (0.3%)

rewrite89.0ms (1.7%)

series426.0ms (8.3%)

simplify104.0ms (2%)

prune148.0ms (2.9%)

localize27.0ms (0.5%)

rewrite138.0ms (2.7%)

series404.0ms (7.9%)

simplify113.0ms (2.2%)

prune208.0ms (4.1%)

regimes270.0ms (5.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.5s (30.3%)

Profiling