Details

analyze461.0ms (12.6%)

Algorithm

1×

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
12.5%	87.3%	0.2%	7
18.7%	81.1%	0.2%	8
46.8%	53%	0.2%	9
47.6%	52.2%	0.2%	10
48.3%	51.5%	0.2%	11
54.2%	45.6%	0.2%	12
67.6%	32.2%	0.2%	13
68.2%	31.6%	0.2%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample21.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
2.0ms	42×	body	128	invalid

Compiler

Compiled 27 to 31 computations (-14.8% saved)

simplify110.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	417	16
1	417	16

prune4.0ms (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 22 to 22 computations (0% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
0.0b	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))
0.2b	(/.f64 (*.f64 y z) 2)

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cancel-sign-sub-inv_binary64_17435`
11×	`*-un-lft-identity_binary64_17469`
10×	`add-log-exp_binary64_17508`
9×	`add-cube-cbrt_binary64_17504` `add-sqr-sqrt_binary64_17491` `times-frac_binary64_17475`
8×	`add-exp-log_binary64_17507` `associate-+l+_binary64_17402` `add-cbrt-cube_binary64_17505`
3×	`associate-/r*_binary64_17413` `pow1_binary64_17530` `div-inv_binary64_17466`
2×	`sub-neg_binary64_17462` `div-exp_binary64_17520` `cbrt-undiv_binary64_17503` `diff-log_binary64_17561` `sum-log_binary64_17560`
1×	`associate-/l*_binary64_17414` `associate-+l-_binary64_17404` `distribute-lft-out_binary64_17420` `frac-2neg_binary64_17480` `flip3-+_binary64_17472` `flip-+_binary64_17443` `prod-exp_binary64_17518` `clear-num_binary64_17468` `+-commutative_binary64_17399` `cbrt-unprod_binary64_17502` `flip3--_binary64_17473` `flip--_binary64_17444`

Counts

3 → 61

Calls

3 calls:

8.0ms	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
6.0ms	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))
5.0ms	(/.f64 (*.f64 y z) 2)

series97.0ms (2.7%)

Counts

3 → 9

Calls

3 calls:

43.0ms	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
38.0ms	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))
16.0ms	(/.f64 (*.f64 y z) 2)

simplify71.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4919	967
1	4919	967

prune64.0ms (1.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	3	71

Error

Counts

71 → 3

Compiler

Compiled 1104 to 684 computations (38% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 1/8 x) (.f64 y (/.f64 z 2))) t)
0.0b	(-.f64 (.f64 1/8 x) (.f64 y (/.f64 z 2)))

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_17508`
4×	`*-un-lft-identity_binary64_17469`
2×	`sub-neg_binary64_17462` `add-cube-cbrt_binary64_17504` `add-exp-log_binary64_17507` `cancel-sign-sub-inv_binary64_17435` `diff-log_binary64_17561` `add-sqr-sqrt_binary64_17491` `pow1_binary64_17530` `associate-+l+_binary64_17402` `sum-log_binary64_17560` `add-cbrt-cube_binary64_17505`
1×	`associate-+l-_binary64_17404` `distribute-lft-out_binary64_17420` `flip3-+_binary64_17472` `flip-+_binary64_17443` `+-commutative_binary64_17399` `flip3--_binary64_17473` `flip--_binary64_17444`

Counts

2 → 28

Calls

2 calls:

7.0ms	(+.f64 (-.f64 (.f64 1/8 x) (.f64 y (/.f64 z 2))) t)
4.0ms	(-.f64 (.f64 1/8 x) (.f64 y (/.f64 z 2)))

series82.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

42.0ms	(+.f64 (-.f64 (.f64 1/8 x) (.f64 y (/.f64 z 2))) t)
40.0ms	(-.f64 (.f64 1/8 x) (.f64 y (/.f64 z 2)))

simplify63.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5764	653

prune31.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	34	3	37

Error

Counts

37 → 3

Compiler

Compiled 630 to 433 computations (31.3% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (/.f64 (.f64 y z) 2)) (cbrt.f64 (/.f64 (*.f64 y z) 2)))
10.1b	(cbrt.f64 (/.f64 (*.f64 y z) 2))
10.1b	(cbrt.f64 (/.f64 (*.f64 y z) 2))
10.1b	(cbrt.f64 (/.f64 (*.f64 y z) 2))

rewrite34.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`cbrt-prod_binary64_17500`
30×	`add-sqr-sqrt_binary64_17491`
22×	`*-un-lft-identity_binary64_17469` `add-cube-cbrt_binary64_17504`
21×	`times-frac_binary64_17475`
11×	`pow1_binary64_17530`
10×	`associate-l_binary64_17410` `associate-r_binary64_17409` `swap-sqr_binary64_17436`
9×	`pow1/3_binary64_17551`
7×	`cbrt-div_binary64_17501` `div-inv_binary64_17466`
6×	`add-exp-log_binary64_17507`
4×	`unswap-sqr_binary64_17437` `add-log-exp_binary64_17508` `add-cbrt-cube_binary64_17505`
2×	`pow-prod-up_binary64_17539` `pow-sqr_binary64_17442` `pow-prod-down_binary64_17540`
1×	`-commutative_binary64_17400` `pow-plus_binary64_17532` `associate-r/_binary64_17411` `prod-exp_binary64_17518` `frac-times_binary64_17479` `pow2_binary64_17550` `associate-*l/_binary64_17412` `cbrt-unprod_binary64_17502`

Counts

4 → 103

Calls

4 calls:

14.0ms	(.f64 (cbrt.f64 (/.f64 (.f64 y z) 2)) (cbrt.f64 (/.f64 (*.f64 y z) 2)))
3.0ms	(cbrt.f64 (/.f64 (*.f64 y z) 2))
3.0ms	(cbrt.f64 (/.f64 (*.f64 y z) 2))
3.0ms	(cbrt.f64 (/.f64 (*.f64 y z) 2))

series326.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

106.0ms	(.f64 (cbrt.f64 (/.f64 (.f64 y z) 2)) (cbrt.f64 (/.f64 (*.f64 y z) 2)))
74.0ms	(cbrt.f64 (/.f64 (*.f64 y z) 2))
73.0ms	(cbrt.f64 (/.f64 (*.f64 y z) 2))
72.0ms	(cbrt.f64 (/.f64 (*.f64 y z) 2))

simplify70.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4924	1720
1	4924	1720

prune160.0ms (4.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	115	3	118

Error

Counts

118 → 3

Compiler

Compiled 3403 to 2121 computations (37.7% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))) (cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (*.f64 y z) 2))))
0.5b	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
0.5b	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
0.5b	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))

rewrite46.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_17500`
23×	`add-sqr-sqrt_binary64_17491`
18×	`cbrt-div_binary64_17501`
15×	`*-un-lft-identity_binary64_17469` `add-cube-cbrt_binary64_17504`
11×	`pow1_binary64_17530`
9×	`pow1/3_binary64_17551` `flip3--_binary64_17473` `flip--_binary64_17444`
6×	`associate-l_binary64_17410` `add-exp-log_binary64_17507` `associate-r_binary64_17409` `swap-sqr_binary64_17436`
4×	`unswap-sqr_binary64_17437` `frac-times_binary64_17479` `add-log-exp_binary64_17508` `add-cbrt-cube_binary64_17505`
2×	`pow-prod-up_binary64_17539` `associate-r/_binary64_17411` `pow-sqr_binary64_17442` `associate-l/_binary64_17412` `pow-prod-down_binary64_17540`
1×	`*-commutative_binary64_17400` `pow-plus_binary64_17532` `prod-exp_binary64_17518` `pow2_binary64_17550` `cbrt-unprod_binary64_17502`

Counts

4 → 87

Calls

4 calls:

16.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))) (cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (*.f64 y z) 2))))
7.0ms	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
6.0ms	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
5.0ms	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))

series614.0ms (16.8%)

Counts

4 → 12

Calls

4 calls:

166.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))) (cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (*.f64 y z) 2))))
154.0ms	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
149.0ms	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
145.0ms	(cbrt.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))

simplify68.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4978	2827
1	4978	2827

prune195.0ms (5.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	99	3	102

Error

Counts

102 → 3

Compiler

Compiled 4181 to 2709 computations (35.2% saved)

regimes226.0ms (6.2%)

Accuracy

Total 0.0b remaining (43.2%)

Threshold costs 0.0b (43.2%)

Compiler

Compiled 1979 to 1818 computations (8.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	16
1	48	16

end0.0ms (0%)

sample824.0ms (22.6%)

Algorithm

1×

intervals

Results

318.0ms	8000×	body	128	valid
42.0ms	1122×	body	128	invalid

Compiler

Compiled 215 to 200 computations (7% saved)

Details

analyze461.0ms (12.6%)

sample21.0ms (0.6%)

simplify110.0ms (3%)

prune4.0ms (0.1%)

localize12.0ms (0.3%)

rewrite24.0ms (0.6%)

series97.0ms (2.7%)

simplify71.0ms (1.9%)

prune64.0ms (1.7%)

localize8.0ms (0.2%)

rewrite13.0ms (0.4%)

series82.0ms (2.2%)

simplify63.0ms (1.7%)

prune31.0ms (0.8%)

localize12.0ms (0.3%)

rewrite34.0ms (0.9%)

series326.0ms (8.9%)

simplify70.0ms (1.9%)

prune160.0ms (4.4%)

localize12.0ms (0.3%)

rewrite46.0ms (1.3%)

series614.0ms (16.8%)

simplify68.0ms (1.9%)

prune195.0ms (5.3%)

regimes226.0ms (6.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample824.0ms (22.6%)

Profiling