Details

analyze296.0ms (8.2%)

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)

sample16.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	16×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify123.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	549	13
1	549	13

prune2.0ms (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

0.4b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize11.0ms (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)
0.5b	(.f64 (.f64 (-.f64 y x) 6) z)

rewrite22.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64_20599` `add-cbrt-cube_binary64_20574` `add-sqr-sqrt_binary64_20560` `add-exp-log_binary64_20576`
8×	`*-un-lft-identity_binary64_20538`
6×	`associate-l/_binary64_20481` `associate-r_binary64_20478` `add-cube-cbrt_binary64_20573` `associate-l*_binary64_20479`
5×	`add-log-exp_binary64_20577`
4×	`cbrt-unprod_binary64_20571` `pow-prod-down_binary64_20609` `prod-exp_binary64_20587`
2×	`flip3--_binary64_20542` `flip--_binary64_20513` `*-commutative_binary64_20469`
1×	`distribute-lft-out--_binary64_20490` `sum-log_binary64_20629` `+-commutative_binary64_20468` `flip3-+_binary64_20541` `unswap-sqr_binary64_20506` `flip-+_binary64_20512` `difference-of-squares_binary64_20507`

Counts

3 → 53

Calls

3 calls:

8.0ms	(.f64 (.f64 (-.f64 y x) 6) z)
7.0ms	(*.f64 (-.f64 y x) 6)
3.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))

series94.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

38.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
36.0ms	(.f64 (.f64 (-.f64 y x) 6) z)
19.0ms	(*.f64 (-.f64 y x) 6)

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5313	767

prune54.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	6	63

Error

0.0b

Counts

63 → 6

Compiler

Compiled 942 to 498 computations (47.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
0.3b	(.f64 (-.f64 y x) (.f64 6 z))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_20599` `add-cbrt-cube_binary64_20574` `add-exp-log_binary64_20576`
5×	`-un-lft-identity_binary64_20538` `add-sqr-sqrt_binary64_20560` `associate-l*_binary64_20479`
4×	`add-log-exp_binary64_20577`
3×	`cbrt-unprod_binary64_20571` `pow-prod-down_binary64_20609` `prod-exp_binary64_20587` `add-cube-cbrt_binary64_20573`
2×	`associate-*l/_binary64_20481`
1×	`distribute-lft-out--_binary64_20490` `flip3--_binary64_20542` `sum-log_binary64_20629` `+-commutative_binary64_20468` `flip--_binary64_20513` `associate-r_binary64_20478` `flip3-+_binary64_20541` `*-commutative_binary64_20469` `flip-+_binary64_20512` `difference-of-squares_binary64_20507`

Counts

2 → 33

Calls

2 calls:

8.0ms	(.f64 (-.f64 y x) (.f64 6 z))
4.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))

series75.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

38.0ms	(.f64 (-.f64 y x) (.f64 6 z))
37.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))

simplify63.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5130	552

prune34.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	38	7	45

Error

0.0b

Counts

45 → 7

Compiler

Compiled 649 to 348 computations (46.4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
0.6b	(cbrt.f64 (-.f64 y x))
0.6b	(cbrt.f64 (-.f64 y x))
0.6b	(cbrt.f64 (-.f64 y x))

rewrite33.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_20569`
37×	`add-sqr-sqrt_binary64_20560`
35×	`*-un-lft-identity_binary64_20538`
18×	`cbrt-div_binary64_20570`
15×	`add-cube-cbrt_binary64_20573`
11×	`pow1_binary64_20599`
10×	`swap-sqr_binary64_20505`
9×	`distribute-lft-out--_binary64_20490` `pow1/3_binary64_20620` `flip3--_binary64_20542` `flip--_binary64_20513`
8×	`associate-r_binary64_20478` `associate-l_binary64_20479`
7×	`difference-of-squares_binary64_20507`
6×	`add-exp-log_binary64_20576`
4×	`add-cbrt-cube_binary64_20574` `add-log-exp_binary64_20577` `unswap-sqr_binary64_20506` `frac-times_binary64_20548`
2×	`associate-l/_binary64_20481` `associate-r/_binary64_20480` `pow-sqr_binary64_20511` `pow-prod-down_binary64_20609` `pow-prod-up_binary64_20608`
1×	`cbrt-unprod_binary64_20571` `*-commutative_binary64_20469` `pow2_binary64_20619` `prod-exp_binary64_20587` `pow-plus_binary64_20601`

Counts

4 → 101

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
4.0ms	(cbrt.f64 (-.f64 y x))
3.0ms	(cbrt.f64 (-.f64 y x))
3.0ms	(cbrt.f64 (-.f64 y x))

series460.0ms (12.8%)

Counts

4 → 12

Calls

4 calls:

126.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
125.0ms	(cbrt.f64 (-.f64 y x))
107.0ms	(cbrt.f64 (-.f64 y x))
102.0ms	(cbrt.f64 (-.f64 y x))

simplify107.0ms (3%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4931	1626
1	4931	1626

prune113.0ms (3.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	113	7	120

Error

0.0b

Counts

120 → 7

Compiler

Compiled 2951 to 1066 computations (63.9% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 (-.f64 y x) 6) z)) (cbrt.f64 (.f64 (*.f64 (-.f64 y x) 6) z)))
2.1b	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6) z))
2.1b	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6) z))
2.1b	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6) z))

rewrite41.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`associate-*l/_binary64_20481`
18×	`cbrt-div_binary64_20570`
11×	`pow1_binary64_20599`
10×	`add-sqr-sqrt_binary64_20560`
9×	`pow1/3_binary64_20620` `flip3--_binary64_20542` `flip--_binary64_20513`
8×	`*-un-lft-identity_binary64_20538` `add-cube-cbrt_binary64_20573`
7×	`cbrt-prod_binary64_20569`
6×	`add-exp-log_binary64_20576`
4×	`swap-sqr_binary64_20505` `add-cbrt-cube_binary64_20574` `associate-r_binary64_20478` `add-log-exp_binary64_20577` `associate-l_binary64_20479` `frac-times_binary64_20548`
2×	`associate-*r/_binary64_20480` `pow-sqr_binary64_20511` `pow-prod-down_binary64_20609` `pow-prod-up_binary64_20608`
1×	`cbrt-unprod_binary64_20571` `*-commutative_binary64_20469` `pow2_binary64_20619` `prod-exp_binary64_20587` `unswap-sqr_binary64_20506` `pow-plus_binary64_20601`

Counts

4 → 72

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (.f64 (.f64 (-.f64 y x) 6) z)) (cbrt.f64 (.f64 (*.f64 (-.f64 y x) 6) z)))
7.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6) z))
7.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6) z))
7.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6) z))

series767.0ms (21.3%)

Counts

4 → 12

Calls

4 calls:

239.0ms	(.f64 (cbrt.f64 (.f64 (.f64 (-.f64 y x) 6) z)) (cbrt.f64 (.f64 (*.f64 (-.f64 y x) 6) z)))
186.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6) z))
178.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6) z))
164.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 y x) 6) z))

simplify99.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4913	1685
1	4913	1685

prune112.0ms (3.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	84	7	91

Error

0.0b

Counts

91 → 7

Compiler

Compiled 2750 to 1536 computations (44.1% saved)

regimes100.0ms (2.8%)

Accuracy

Total 0.2b remaining (94.9%)

Threshold costs 0.2b (94.9%)

Compiler

Compiled 892 to 686 computations (23.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample869.0ms (24.1%)

Algorithm

1×

intervals

Results

229.0ms	8000×	body	128	valid
16.0ms	570×	body	128	invalid

Compiler

Compiled 245 to 191 computations (22% saved)

Details

analyze296.0ms (8.2%)

sample16.0ms (0.4%)

simplify123.0ms (3.4%)

prune2.0ms (0.1%)

localize11.0ms (0.3%)

rewrite22.0ms (0.6%)

series94.0ms (2.6%)

simplify62.0ms (1.7%)

prune54.0ms (1.5%)

localize8.0ms (0.2%)

rewrite15.0ms (0.4%)

series75.0ms (2.1%)

simplify63.0ms (1.7%)

prune34.0ms (0.9%)

localize10.0ms (0.3%)

rewrite33.0ms (0.9%)

series460.0ms (12.8%)

simplify107.0ms (3%)

prune113.0ms (3.1%)

localize10.0ms (0.3%)

rewrite41.0ms (1.1%)

series767.0ms (21.3%)

simplify99.0ms (2.8%)

prune112.0ms (3.1%)

regimes100.0ms (2.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample869.0ms (24.1%)

Profiling