Details

analyze336.0ms (11%)

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
9.4%	90.5%	0.1%	6
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
37.8%	60.5%	1.7%	9
40%	56%	4%	10
47.3%	48.7%	4%	11
56.8%	36.2%	7%	12
58.6%	32.4%	9%	13
63.4%	27.5%	9%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	27×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify228.0ms (7.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	4864	10
1	4864	10

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

11.8b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
11.2b	(/.f64 (*.f64 x (-.f64 y z)) y)

rewrite18.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_18514`
10×	`*-un-lft-identity_binary64_18492`
9×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
8×	`add-cube-cbrt_binary64_18527`
6×	`cancel-sign-sub-inv_binary64_18458`
5×	`associate-r_binary64_18432`
4×	`pow1_binary64_18553` `distribute-rgt-in_binary64_18442` `associate-*r/_binary64_18434` `distribute-lft-in_binary64_18441`
3×	`times-frac_binary64_18498` `associate-l_binary64_18433` `associate-/r*_binary64_18436`
2×	`associate-/l/_binary64_18439` `div-exp_binary64_18543` `flip--_binary64_18467` `sub-neg_binary64_18485` `flip3--_binary64_18496` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `add-log-exp_binary64_18531` `cbrt-undiv_binary64_18526`
1×	`unswap-sqr_binary64_18460` `distribute-lft-out--_binary64_18444` `frac-2neg_binary64_18503` `associate-/l_binary64_18437` `-commutative_binary64_18423` `clear-num_binary64_18491` `div-inv_binary64_18489` `pow-prod-down_binary64_18563` `difference-of-squares_binary64_18461`

Counts

2 → 53

Calls

2 calls:

8.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
7.0ms	(*.f64 x (-.f64 y z))

series83.0ms (2.7%)

Counts

2 → 6

Calls

2 calls:

52.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
30.0ms	(*.f64 x (-.f64 y z))

simplify50.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5450	626

prune41.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	5	60

Error

0.0b

Counts

60 → 5

Compiler

Compiled 683 to 181 computations (73.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 y z))
2.8b	(/.f64 x (/.f64 y (-.f64 y z)))

rewrite27.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64_18498`
102×	`add-sqr-sqrt_binary64_18514` `*-un-lft-identity_binary64_18492`
70×	`add-cube-cbrt_binary64_18527`
26×	`associate-/r*_binary64_18436`
16×	`distribute-lft-out--_binary64_18444` `difference-of-squares_binary64_18461`
11×	`associate-/r/_binary64_18438`
9×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
6×	`associate-/l*_binary64_18437` `div-inv_binary64_18489`
5×	`flip--_binary64_18467` `flip3--_binary64_18496`
4×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526`
2×	`pow1_binary64_18553` `frac-2neg_binary64_18503` `add-log-exp_binary64_18531` `clear-num_binary64_18491`

Counts

2 → 139

Calls

2 calls:

10.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
6.0ms	(/.f64 y (-.f64 y z))

series74.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

47.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
27.0ms	(/.f64 y (-.f64 y z))

simplify94.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5424	2833

prune89.0ms (2.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	144	6	150

Error

Counts

150 → 6

Compiler

Compiled 2307 to 433 computations (81.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) y)
2.9b	(*.f64 x (/.f64 (-.f64 y z) y))

rewrite26.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_18514`
36×	`*-un-lft-identity_binary64_18492`
31×	`times-frac_binary64_18498`
22×	`add-cube-cbrt_binary64_18527`
19×	`associate-r_binary64_18432`
9×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
7×	`distribute-lft-out--_binary64_18444` `difference-of-squares_binary64_18461`
5×	`associate-/l*_binary64_18437`
4×	`pow1_binary64_18553`
3×	`associate-l_binary64_18433` `associate-/r*_binary64_18436`
2×	`associate-/l/_binary64_18439` `div-exp_binary64_18543` `unswap-sqr_binary64_18460` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `add-log-exp_binary64_18531` `cbrt-undiv_binary64_18526` `div-inv_binary64_18489`
1×	`associate-r/_binary64_18434` `flip--_binary64_18467` `frac-2neg_binary64_18503` `-commutative_binary64_18423` `flip3--_binary64_18496` `clear-num_binary64_18491` `pow-prod-down_binary64_18563` `div-sub_binary64_18497`

Counts

2 → 76

Calls

2 calls:

11.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
6.0ms	(/.f64 (-.f64 y z) y)

series72.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

49.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
23.0ms	(/.f64 (-.f64 y z) y)

simplify66.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5240	1068

prune47.0ms (1.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	82	6	88

Error

Counts

88 → 6

Compiler

Compiled 1097 to 249 computations (77.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 y (-.f64 y z))
0.2b	(pow.f64 (/.f64 y (-.f64 y z)) 3)
2.8b	(/.f64 x (cbrt.f64 (pow.f64 (/.f64 y (-.f64 y z)) 3)))
9.8b	(cbrt.f64 (pow.f64 (/.f64 y (-.f64 y z)) 3))

rewrite90.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

348×	`times-frac_binary64_18498`
264×	`add-sqr-sqrt_binary64_18514` `*-un-lft-identity_binary64_18492`
240×	`cbrt-prod_binary64_18523`
184×	`add-cube-cbrt_binary64_18527`
126×	`unpow-prod-down_binary64_18571` `cube-prod_binary64_18520`
56×	`associate-/r*_binary64_18436`
40×	`distribute-lft-out--_binary64_18444` `difference-of-squares_binary64_18461`
27×	`associate-/r/_binary64_18438`
14×	`div-inv_binary64_18489`
13×	`flip--_binary64_18467` `flip3--_binary64_18496`
11×	`add-exp-log_binary64_18530`
10×	`add-cbrt-cube_binary64_18528`
6×	`sqr-pow_binary64_18464` `unpow3_binary64_18558` `associate-/l*_binary64_18437` `cube-mult_binary64_18522`
5×	`pow1_binary64_18553`
4×	`add-log-exp_binary64_18531`
3×	`cube-div_binary64_18521` `pow-unpow_binary64_18569` `div-exp_binary64_18543` `cbrt-undiv_binary64_18526`
2×	`frac-2neg_binary64_18503` `cbrt-div_binary64_18524` `clear-num_binary64_18491` `rem-cube-cbrt_binary64_18515` `pow-exp_binary64_18560`
1×	`rem-cbrt-cube_binary64_18516` `pow1/3_binary64_18574` `pow-pow_binary64_18564` `pow-to-exp_binary64_18561`

Counts

4 → 377

Calls

4 calls:

19.0ms	(/.f64 x (cbrt.f64 (pow.f64 (/.f64 y (-.f64 y z)) 3)))
9.0ms	(cbrt.f64 (pow.f64 (/.f64 y (-.f64 y z)) 3))
9.0ms	(pow.f64 (/.f64 y (-.f64 y z)) 3)
6.0ms	(/.f64 y (-.f64 y z))

series196.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

77.0ms	(/.f64 x (cbrt.f64 (pow.f64 (/.f64 y (-.f64 y z)) 3)))
56.0ms	(pow.f64 (/.f64 y (-.f64 y z)) 3)
36.0ms	(cbrt.f64 (pow.f64 (/.f64 y (-.f64 y z)) 3))
26.0ms	(/.f64 y (-.f64 y z))

simplify116.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

389 → 389

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5585	7723

prune258.0ms (8.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	389	0	389
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	389	6	395

Error

Counts

395 → 6

Compiler

Compiled 6608 to 1725 computations (73.9% saved)

regimes184.0ms (6%)

Accuracy

Total 2.9b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 911 to 594 computations (34.8% saved)

bsearch34.0ms (1.1%)

Steps

Iters	Range		Point
9	1.264596033554313e-72	2.2820487656958293e-65	3.340985860824471e-71
8	-7.86935667764731e-215	-2.09523409719075e-219	-6.723579616393137e-216

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	42
1	30	42

end0.0ms (0%)

sample876.0ms (28.7%)

Algorithm

1×

intervals

Results

426.0ms	8000×	body	128	valid
19.0ms	746×	body	128	invalid

Compiler

Compiled 268 to 171 computations (36.2% saved)

Details

analyze336.0ms (11%)

sample17.0ms (0.6%)

simplify228.0ms (7.5%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite18.0ms (0.6%)

series83.0ms (2.7%)

simplify50.0ms (1.6%)

prune41.0ms (1.3%)

localize5.0ms (0.2%)

rewrite27.0ms (0.9%)

series74.0ms (2.4%)

simplify94.0ms (3.1%)

prune89.0ms (2.9%)

localize5.0ms (0.2%)

rewrite26.0ms (0.9%)

series72.0ms (2.4%)

simplify66.0ms (2.2%)

prune47.0ms (1.5%)

localize8.0ms (0.2%)

rewrite90.0ms (3%)

series196.0ms (6.4%)

simplify116.0ms (3.8%)

prune258.0ms (8.5%)

regimes184.0ms (6%)

bsearch34.0ms (1.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample876.0ms (28.7%)

Profiling