Details

analyze710.0ms (10.9%)

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
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	27×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify153.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune7.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite47.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

30.0ms	(*.f64 y (-.f64 z x))
8.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

series137.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

85.0ms	(*.f64 y (-.f64 z x))
51.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

simplify103.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5015	584

prune58.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Error

0.0b

Counts

56 → 4

Compiler

Compiled 703 to 178 computations (74.7% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x))))
0.0b	(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64`
1×	`associate-+r-_binary64` `associate-+r+_binary64`

Counts

2 → 28

Calls

2 calls:

7.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x))))
4.0ms	(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))

series78.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

39.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x))))
39.0ms	(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))

simplify90.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5041	420

prune37.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	34	4	38

Error

0.0b

Counts

38 → 4

Compiler

Compiled 458 to 117 computations (74.5% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (+.f64 x (.f64 y (-.f64 z x)))) (cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x)))))
0.6b	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
0.6b	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
0.6b	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))

rewrite41.0ms (0.6%)

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:

16.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 y (-.f64 z x)))) (cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x)))))
5.0ms	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
4.0ms	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
4.0ms	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))

series1.5s (22.8%)

Counts

4 → 12

Calls

4 calls:

497.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 y (-.f64 z x)))) (cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x)))))
339.0ms	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
331.0ms	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
322.0ms	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))

simplify170.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	4871	2347
1	4871	2347

prune138.0ms (2.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	99	4	103

Error

Counts

103 → 4

Compiler

Compiled 3347 to 489 computations (85.4% saved)

localize31.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
0.6b	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
0.6b	(cbrt.f64 (.f64 (cbrt.f64 (+.f64 x (.f64 y (-.f64 z x)))) (cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))) 4)

rewrite59.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-div_binary64`
16×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`unpow-prod-down_binary64`
8×	`flip3-+_binary64` `flip-+_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64` `frac-times_binary64`
3×	`pow-unpow_binary64`
2×	`associate-r/_binary64` `pow-pow_binary64` `associate-l/_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 67

Calls

4 calls:

15.0ms	(cbrt.f64 (.f64 (cbrt.f64 (+.f64 x (.f64 y (-.f64 z x)))) (cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))))
10.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))) 4)
5.0ms	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
5.0ms	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))

series2.0s (29.9%)

Counts

4 → 12

Calls

4 calls:

900.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))) 4)
406.0ms	(cbrt.f64 (.f64 (cbrt.f64 (+.f64 x (.f64 y (-.f64 z x)))) (cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))))
336.0ms	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
315.0ms	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))

simplify83.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4932	2383
1	4932	2383

prune154.0ms (2.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	79	4	83

Error

Counts

83 → 4

Compiler

Compiled 3924 to 835 computations (78.7% saved)

regimes134.0ms (2%)

Accuracy

Total 0.0b remaining (59.9%)

Threshold costs 0.0b (59.9%)

Compiler

Compiled 717 to 401 computations (44.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms (0%)

sample784.0ms (12%)

Algorithm

1×

intervals

Results

286.0ms	8000×	body	128	valid
28.0ms	635×	body	128	invalid

Compiler

Compiled 165 to 97 computations (41.2% saved)

Details

analyze710.0ms (10.9%)

sample22.0ms (0.3%)

simplify153.0ms (2.3%)

prune7.0ms (0.1%)

localize14.0ms (0.2%)

rewrite47.0ms (0.7%)

series137.0ms (2.1%)

simplify103.0ms (1.6%)

prune58.0ms (0.9%)

localize8.0ms (0.1%)

rewrite15.0ms (0.2%)

series78.0ms (1.2%)

simplify90.0ms (1.4%)

prune37.0ms (0.6%)

localize19.0ms (0.3%)

rewrite41.0ms (0.6%)

series1.5s (22.8%)

simplify170.0ms (2.6%)

prune138.0ms (2.1%)

localize31.0ms (0.5%)

rewrite59.0ms (0.9%)

series2.0s (29.9%)

simplify83.0ms (1.3%)

prune154.0ms (2.4%)

regimes134.0ms (2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample784.0ms (12%)

Profiling