Details

analyze210.0ms (5.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	418	20
1	418	20
0	2	2
1	2	2

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
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
56.2%	40.6%	3.2%	7
64%	29.7%	6.3%	8
71%	20.3%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
81.3%	7.7%	11%	12
83.2%	5%	11.8%	13
84.4%	3.8%	11.8%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify18.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	256	10
1	256	10

prune2.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 (+.f64 x 1) y) x)
0.0b	(*.f64 (+.f64 x 1) y)

rewrite65.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
5×	`add-cube-cbrt_binary64_6592`
4×	`pow1_binary64_6618` `add-exp-log_binary64_6595` `add-log-exp_binary64_6596` `add-cbrt-cube_binary64_6593` `associate-l_binary64_6498`
3×	`associate-r_binary64_6497` `cancel-sign-sub-inv_binary64_6523`
2×	`associate-*l/_binary64_6500`
1×	`pow-prod-down_binary64_6628` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `unswap-sqr_binary64_6525` `flip3-+_binary64_6560` `flip-+_binary64_6531` `distribute-lft-out_binary64_6508` `*-commutative_binary64_6488` `diff-log_binary64_6649` `flip3--_binary64_6561` `sub-neg_binary64_6550` `flip--_binary64_6532`

Counts

2 → 35

Calls

2 calls:

12.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)
10.0ms	(*.f64 (+.f64 x 1) y)

Compiler

Compiled 493 to 319 computations (35.3% saved)

series143.0ms (3.7%)

Error

Counts

2 → 21

Calls

2 calls:

74.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)
49.0ms	(*.f64 (+.f64 x 1) y)

Compiler

Compiled 330 to 200 computations (39.4% saved)

simplify106.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4937	541
1	4937	541

prune54.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	2	57

Error

Counts

57 → 2

Compiler

Compiled 578 to 185 computations (68% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (+.f64 y (.f64 y x)) x)) (cbrt.f64 (-.f64 (+.f64 y (*.f64 y x)) x)))
0.6b	(cbrt.f64 (-.f64 (+.f64 y (*.f64 y x)) x))
0.6b	(cbrt.f64 (-.f64 (+.f64 y (*.f64 y x)) x))
0.6b	(cbrt.f64 (-.f64 (+.f64 y (*.f64 y x)) x))

rewrite163.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`cbrt-prod_binary64_6588`
37×	`add-sqr-sqrt_binary64_6579`
35×	`*-un-lft-identity_binary64_6557`
18×	`cbrt-div_binary64_6589`
15×	`add-cube-cbrt_binary64_6592`
11×	`pow1_binary64_6618`
10×	`swap-sqr_binary64_6524`
9×	`pow1/3_binary64_6639` `flip3--_binary64_6561` `flip--_binary64_6532` `distribute-lft-out--_binary64_6509`
8×	`associate-l_binary64_6498` `associate-r_binary64_6497`
7×	`difference-of-squares_binary64_6526`
6×	`add-exp-log_binary64_6595`
4×	`add-log-exp_binary64_6596` `add-cbrt-cube_binary64_6593` `frac-times_binary64_6567` `unswap-sqr_binary64_6525`
2×	`pow-prod-down_binary64_6628` `pow-prod-up_binary64_6627` `pow-sqr_binary64_6530` `associate-l/_binary64_6500` `associate-r/_binary64_6499`
1×	`pow2_binary64_6638` `pow-plus_binary64_6620` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `*-commutative_binary64_6488`

Counts

4 → 101

Calls

4 calls:

20.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 y (.f64 y x)) x)) (cbrt.f64 (-.f64 (+.f64 y (*.f64 y x)) x)))
5.0ms	(cbrt.f64 (-.f64 (+.f64 y (*.f64 y x)) x))
5.0ms	(cbrt.f64 (-.f64 (+.f64 y (*.f64 y x)) x))
5.0ms	(cbrt.f64 (-.f64 (+.f64 y (*.f64 y x)) x))

Compiler

Compiled 3880 to 405 computations (89.6% saved)

series1.9s (49.9%)

Error

Counts

4 → 65

Calls

4 calls:

827.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 y (.f64 y x)) x)) (cbrt.f64 (-.f64 (+.f64 y (*.f64 y x)) x)))
303.0ms	(cbrt.f64 (-.f64 (+.f64 y (*.f64 y x)) x))
298.0ms	(cbrt.f64 (-.f64 (+.f64 y (*.f64 y x)) x))
285.0ms	(cbrt.f64 (-.f64 (+.f64 y (*.f64 y x)) x))

Compiler

Compiled 10611 to 7649 computations (27.9% saved)

simplify82.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5060	7312

prune326.0ms (8.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	166	2	168

Error

Counts

168 → 2

Compiler

Compiled 7525 to 3662 computations (51.3% saved)

regimes68.0ms (1.7%)

Accuracy

Total 0.0b remaining (91.2%)

Threshold costs 0.0b (91.2%)

Compiler

Compiled 345 to 236 computations (31.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample678.0ms (17.4%)

Algorithm

1×

intervals

Results

212.0ms	7998×	body	128	valid
2.0ms	72×	body	128	invalid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 124 to 87 computations (29.8% saved)

Details

analyze210.0ms (5.4%)

sample18.0ms (0.5%)

simplify18.0ms (0.5%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite65.0ms (1.7%)

series143.0ms (3.7%)

simplify106.0ms (2.7%)

prune54.0ms (1.4%)

localize9.0ms (0.2%)

rewrite163.0ms (4.2%)

series1.9s (49.9%)

simplify82.0ms (2.1%)

prune326.0ms (8.4%)

regimes68.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample678.0ms (17.4%)

Profiling