Details

analyze417.0ms (3.1%)

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
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)

sample20.0ms (0.2%)

Algorithm

1×

intervals

Results

9.0ms	238×	body	128	valid
1.0ms	7×	body	1024	valid
1.0ms	7×	body	512	valid
1.0ms	17×	body	128	invalid
0.0ms	4×	body	256	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify245.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (236.0ms)

Iter	Nodes	Cost
0	2399	16
1	2399	16

prune5.0ms (0%)

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: 0.4b

Counts

2 → 2

Compiler

Compiled 59 to 54 computations (8.5% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 2 3) z)
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
0.1b	(*.f64 (-.f64 y x) 6)
0.3b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z))

rewrite51.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`
15×	`cancel-sign-sub-inv_binary64`
12×	`add-cube-cbrt_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*l/_binary64`
9×	`associate-r_binary64`
8×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64` `associate-+r+_binary64`
6×	`associate-l_binary64`
5×	`sub-neg_binary64` `difference-of-squares_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64`
3×	`distribute-lft-out--_binary64`
2×	`associate-r/_binary64` `times-frac_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `diff-log_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 95

Calls

4 calls:

19.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z))
9.0ms	(-.f64 (/.f64 2 3) z)
8.0ms	(*.f64 (-.f64 y x) 6)
6.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))

series218.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

83.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
74.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z))
37.0ms	(*.f64 (-.f64 y x) 6)
23.0ms	(-.f64 (/.f64 2 3) z)

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4939	1515
1	4939	1515

prune350.0ms (2.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	99	8	107
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	100	9	109

Merged error: 0.0b

Counts

109 → 9

Compiler

Compiled 6372 to 4665 computations (26.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2/3 z)
0.0b	(*.f64 6 (-.f64 2/3 z))
0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
0.1b	(.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z)))

rewrite42.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
33×	`cancel-sign-sub-inv_binary64`
26×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
16×	`associate-+r+_binary64`
11×	`sub-neg_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
8×	`add-log-exp_binary64` `flip3--_binary64` `associate-l_binary64` `flip--_binary64`
6×	`associate-r_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`associate-l/_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `diff-log_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 117

Calls

4 calls:

13.0ms	(.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z)))
8.0ms	(*.f64 6 (-.f64 2/3 z))
7.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
4.0ms	(-.f64 2/3 z)

series231.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

95.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
69.0ms	(.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z)))
44.0ms	(*.f64 6 (-.f64 2/3 z))
22.0ms	(-.f64 2/3 z)

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5384	1715

prune146.0ms (1.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	130	8	138

Merged error: 0.0b

Counts

138 → 8

Compiler

Compiled 2910 to 1777 computations (38.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))) (cbrt.f64 (+.f64 x (.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z)))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))

series5.5s (41.3%)

Counts

4 → 12

Calls

4 calls:

2.5s	(.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))) (cbrt.f64 (+.f64 x (.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z)))))
1.0s	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))
1.0s	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))
986.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))

simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4962	3463
1	4962	3463

prune348.0ms (2.6%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	96	11	107

Merged error: 0.0b

Counts

107 → 11

Compiler

Compiled 7631 to 5066 computations (33.6% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 52

Calls

4 calls:

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

series4.0s (30.3%)

Counts

4 → 12

Calls

4 calls:

1.0s	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))
1.0s	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))
997.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))
994.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4882	1944
1	4882	1944

prune229.0ms (1.7%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	63	12	75

Merged error: 0.0b

Counts

75 → 12

Compiler

Compiled 5449 to 3503 computations (35.7% saved)

regimes169.0ms (1.3%)

Compiler: Compiled 2287 to 1656 computations (27.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms (0%)

sample917.0ms (6.9%)

Algorithm

1×

intervals

Results

286.0ms	7321×	body	128	valid
40.0ms	257×	body	1024	valid
26.0ms	253×	body	512	valid
24.0ms	572×	body	128	invalid
12.0ms	169×	body	256	valid

Compiler

Compiled 474 to 346 computations (27% saved)

Details

analyze417.0ms (3.1%)

sample20.0ms (0.2%)

simplify245.0ms (1.8%)

prune5.0ms (0%)

localize10.0ms (0.1%)

rewrite51.0ms (0.4%)

series218.0ms (1.6%)

simplify70.0ms (0.5%)

prune350.0ms (2.6%)

localize10.0ms (0.1%)

rewrite42.0ms (0.3%)

series231.0ms (1.7%)

simplify45.0ms (0.3%)

prune146.0ms (1.1%)

localize13.0ms (0.1%)

rewrite34.0ms (0.3%)

series5.5s (41.3%)

simplify96.0ms (0.7%)

prune348.0ms (2.6%)

localize22.0ms (0.2%)

rewrite23.0ms (0.2%)

series4.0s (30.3%)

simplify71.0ms (0.5%)

prune229.0ms (1.7%)

regimes169.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample917.0ms (6.9%)

Profiling