Details

analyze644.0ms (3.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4905	64
1	4905	64
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
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample26.0ms (0.2%)

Algorithm

1×

intervals

Results

9.0ms	232×	body	128	valid
1.0ms	8×	body	1024	valid
1.0ms	9×	body	512	valid
1.0ms	32×	body	128	invalid
0.0ms	7×	body	256	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify278.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (272.0ms)

Iter	Nodes	Cost
0	2426	16
1	2426	16

prune6.0ms (0%)

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

0.4b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2/3 z)
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.0b	(*.f64 (-.f64 y x) 6)
0.3b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

rewrite168.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-sqr-sqrt_binary64_10330`
18×	`*-un-lft-identity_binary64_10308`
15×	`cancel-sign-sub-inv_binary64_10274`
12×	`add-cube-cbrt_binary64_10343`
11×	`pow1_binary64_10369` `add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344`
10×	`associate-*l/_binary64_10251`
8×	`add-log-exp_binary64_10347` `flip3--_binary64_10312` `flip--_binary64_10283` `distribute-rgt-in_binary64_10258` `distribute-lft-in_binary64_10257` `associate-r_binary64_10248` `associate-+r+_binary64_10240`
6×	`associate-l_binary64_10249`
5×	`sub-neg_binary64_10301`
4×	`pow-prod-down_binary64_10379` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `frac-times_binary64_10318`
3×	`difference-of-squares_binary64_10277` `distribute-lft-out--_binary64_10260`
2×	`associate-r/_binary64_10250` `-commutative_binary64_10239`
1×	`unswap-sqr_binary64_10276` `sum-log_binary64_10399` `flip3-+_binary64_10311` `flip-+_binary64_10282` `+-commutative_binary64_10238` `diff-log_binary64_10400`

Counts

4 → 93

Calls

4 calls:

13.0ms	(*.f64 (-.f64 y x) 6)
12.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
9.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
7.0ms	(-.f64 2/3 z)

Compiler

Compiled 1844 to 1039 computations (43.7% saved)

series733.0ms (4.4%)

Error

0.1b

Counts

4 → 54

Calls

4 calls:

332.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
234.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
83.0ms	(*.f64 (-.f64 y x) 6)
26.0ms	(-.f64 2/3 z)

Compiler

Compiled 1895 to 1477 computations (22.1% saved)

simplify126.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4946	1915
1	4946	1915

prune147.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	141	6	147
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	141	7	148

Error

0.0b

Counts

148 → 7

Compiler

Compiled 2306 to 1319 computations (42.8% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 4 y) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (.f64 x -3)))
0.0b	(+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (*.f64 x -3))
0.3b	(.f64 -6 (.f64 z (-.f64 y x)))

rewrite148.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`distribute-rgt-in_binary64_10258` `distribute-lft-in_binary64_10257`
24×	`cancel-sign-sub-inv_binary64_10274`
16×	`associate-+l+_binary64_10241`
12×	`add-cube-cbrt_binary64_10343` `add-sqr-sqrt_binary64_10330` `*-un-lft-identity_binary64_10308`
10×	`add-log-exp_binary64_10347`
8×	`pow1_binary64_10369` `add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344` `sub-neg_binary64_10301`
4×	`associate-*r/_binary64_10250` `sum-log_binary64_10399`
3×	`pow-prod-down_binary64_10379` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `associate-l_binary64_10249`
2×	`flip3-+_binary64_10311` `flip-+_binary64_10282` `+-commutative_binary64_10238`
1×	`flip3--_binary64_10312` `flip--_binary64_10283` `associate-r_binary64_10248` `*-commutative_binary64_10239` `associate-+r+_binary64_10240`

Counts

3 → 76

Calls

3 calls:

11.0ms	(+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (*.f64 x -3))
11.0ms	(.f64 -6 (.f64 z (-.f64 y x)))
10.0ms	(+.f64 (.f64 4 y) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (.f64 x -3)))

Compiler

Compiled 1866 to 1041 computations (44.2% saved)

series757.0ms (4.6%)

Error

0.0b

Counts

3 → 51

Calls

3 calls:

319.0ms	(+.f64 (.f64 4 y) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (.f64 x -3)))
234.0ms	(+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (*.f64 x -3))
162.0ms	(.f64 -6 (.f64 z (-.f64 y x)))

Compiler

Compiled 2017 to 1567 computations (22.3% saved)

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4952	1931
1	4952	1931

prune169.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	128	6	134

Error

0.0b

Counts

134 → 6

Compiler

Compiled 2311 to 1364 computations (41% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 y x) (-.f64 4 (.f64 z 6))))
0.1b	(.f64 (-.f64 y x) (-.f64 4 (.f64 z 6)))

rewrite101.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`add-sqr-sqrt_binary64_10330`
6×	`flip3--_binary64_10312` `flip--_binary64_10283` `*-un-lft-identity_binary64_10308`
5×	`associate-l_binary64_10249`
4×	`pow1_binary64_10369` `add-exp-log_binary64_10346` `add-log-exp_binary64_10347` `add-cbrt-cube_binary64_10344` `add-cube-cbrt_binary64_10343` `frac-times_binary64_10318` `sub-neg_binary64_10301` `distribute-rgt-in_binary64_10258` `cancel-sign-sub-inv_binary64_10274` `distribute-lft-in_binary64_10257` `associate-+r+_binary64_10240`
3×	`associate-r_binary64_10248`
2×	`associate-l/_binary64_10251` `associate-r/_binary64_10250`
1×	`pow-prod-down_binary64_10379` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `unswap-sqr_binary64_10276` `difference-of-squares_binary64_10277` `distribute-lft-out--_binary64_10260` `*-commutative_binary64_10239` `sum-log_binary64_10399` `flip3-+_binary64_10311` `flip-+_binary64_10282` `+-commutative_binary64_10238`

Counts

2 → 47

Calls

2 calls:

17.0ms	(.f64 (-.f64 y x) (-.f64 4 (.f64 z 6)))
5.0ms	(+.f64 x (.f64 (-.f64 y x) (-.f64 4 (.f64 z 6))))

Compiler

Compiled 1030 to 609 computations (40.9% saved)

series587.0ms (3.5%)

Error

0.0b

Counts

2 → 36

Calls

2 calls:

297.0ms	(+.f64 x (.f64 (-.f64 y x) (-.f64 4 (.f64 z 6))))
241.0ms	(.f64 (-.f64 y x) (-.f64 4 (.f64 z 6)))

Compiler

Compiled 1404 to 1077 computations (23.3% saved)

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4943	1516
1	4943	1516

prune85.0ms (0.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

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

Error

0.0b

Counts

89 → 6

Compiler

Compiled 1445 to 838 computations (42% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
0.5b	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
0.5b	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x))))) (cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (*.f64 6 (-.f64 y x))))))

rewrite305.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_10339`
23×	`add-sqr-sqrt_binary64_10330`
18×	`cbrt-div_binary64_10340`
15×	`add-cube-cbrt_binary64_10343` `*-un-lft-identity_binary64_10308`
11×	`pow1_binary64_10369`
9×	`pow1/3_binary64_10390` `flip3-+_binary64_10311` `flip-+_binary64_10282`
6×	`add-exp-log_binary64_10346` `swap-sqr_binary64_10275` `associate-l_binary64_10249` `associate-r_binary64_10248`
4×	`add-log-exp_binary64_10347` `add-cbrt-cube_binary64_10344` `frac-times_binary64_10318` `unswap-sqr_binary64_10276`
2×	`pow-prod-down_binary64_10379` `pow-prod-up_binary64_10378` `pow-sqr_binary64_10281` `associate-l/_binary64_10251` `associate-r/_binary64_10250`
1×	`pow2_binary64_10389` `pow-plus_binary64_10371` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `*-commutative_binary64_10239`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x))))) (cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (*.f64 6 (-.f64 y x))))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))

Compiler

Compiled 4856 to 3013 computations (38% saved)

series7.4s (45%)

Error

0.0b

Counts

4 → 85

Calls

4 calls:

3.6s	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x))))) (cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (*.f64 6 (-.f64 y x))))))
1.1s	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
1.0s	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
1.0s	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))

Compiler

Compiled 28094 to 22413 computations (20.2% saved)

simplify149.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5315	13905

prune1.0s (6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	169	3	172
Fresh	0	2	2
Picked	1	0	1
Done	0	3	3
Total	170	8	178

Error

0.0b

Counts

178 → 8

Compiler

Compiled 13182 to 8823 computations (33.1% saved)

regimes879.0ms (5.3%)

Accuracy

Total 0.2b remaining (90.3%)

Threshold costs 0.2b (90.3%)

Compiler

Compiled 9426 to 7225 computations (23.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	22
1	30	22

end0.0ms (0%)

sample2.6s (15.7%)

Algorithm

1×

intervals

Results

355.0ms	7305×	body	128	valid
46.0ms	243×	body	1024	valid
39.0ms	646×	body	128	invalid
37.0ms	275×	body	512	valid
15.0ms	177×	body	256	valid

Compiler

Compiled 1897 to 1453 computations (23.4% saved)

Details

analyze644.0ms (3.9%)

sample26.0ms (0.2%)

simplify278.0ms (1.7%)

prune6.0ms (0%)

localize8.0ms (0%)

rewrite168.0ms (1%)

series733.0ms (4.4%)

simplify126.0ms (0.8%)

prune147.0ms (0.9%)

localize17.0ms (0.1%)

rewrite148.0ms (0.9%)

series757.0ms (4.6%)

simplify77.0ms (0.5%)

prune169.0ms (1%)

localize14.0ms (0.1%)

rewrite101.0ms (0.6%)

series587.0ms (3.5%)

simplify66.0ms (0.4%)

prune85.0ms (0.5%)

localize19.0ms (0.1%)

rewrite305.0ms (1.8%)

series7.4s (45%)

simplify149.0ms (0.9%)

prune1.0s (6%)

regimes879.0ms (5.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.6s (15.7%)

Profiling