Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

sample37.0ms (1.6%)

Algorithm

1×

intervals

Results

15.0ms	59×	body	1280	valid
8.0ms	48×	body	640	valid
4.0ms	123×	body	80	valid
2.0ms	19×	body	320	valid
1.0ms	7×	body	160	valid

simplify94.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5238	10

prune5.0ms (0.2%)

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: 31.0b

Counts

2 → 1

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 2.0 (+.f64 1.0 (exp.f64 (*.f64 -2.0 x))))
2.0b	(-.f64 (/.f64 2.0 (+.f64 1.0 (exp.f64 (*.f64 -2.0 x)))) 1.0)

rewrite23.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64`
13×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/l*_binary64`
2×	`pow1_binary64` `associate-/r/_binary64` `difference-of-squares_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

2 → 47

Calls

2 calls:

15.0ms	(-.f64 (/.f64 2.0 (+.f64 1.0 (exp.f64 (*.f64 -2.0 x)))) 1.0)
6.0ms	(/.f64 2.0 (+.f64 1.0 (exp.f64 (*.f64 -2.0 x))))

series19.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(-.f64 (/.f64 2.0 (+.f64 1.0 (exp.f64 (*.f64 -2.0 x)))) 1.0)
8.0ms	(/.f64 2.0 (+.f64 1.0 (exp.f64 (*.f64 -2.0 x))))

simplify57.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4993	703
1	4993	703

prune83.0ms (3.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	2	54

Merged error: 0b

Counts

54 → 2

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 1.0 x) (+.f64 (.f64 5.551115123125783e-17 (pow.f64 x 4)) (*.f64 0.33333333333333337 (pow.f64 x 3))))
0.3b	(*.f64 0.33333333333333337 (pow.f64 x 3))
0.4b	(*.f64 5.551115123125783e-17 (pow.f64 x 4))
8.2b	(+.f64 (.f64 5.551115123125783e-17 (pow.f64 x 4)) (.f64 0.33333333333333337 (pow.f64 x 3)))

rewrite27.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
14×	`add-exp-log_binary64`
11×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64`
8×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`associate-l_binary64` `prod-exp_binary64`
4×	`pow1_binary64` `sqr-pow_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 80

Calls

4 calls:

7.0ms	(-.f64 (.f64 1.0 x) (+.f64 (.f64 5.551115123125783e-17 (pow.f64 x 4)) (*.f64 0.33333333333333337 (pow.f64 x 3))))
6.0ms	(*.f64 0.33333333333333337 (pow.f64 x 3))
6.0ms	(+.f64 (.f64 5.551115123125783e-17 (pow.f64 x 4)) (.f64 0.33333333333333337 (pow.f64 x 3)))
5.0ms	(*.f64 5.551115123125783e-17 (pow.f64 x 4))

series33.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

15.0ms	(+.f64 (.f64 5.551115123125783e-17 (pow.f64 x 4)) (.f64 0.33333333333333337 (pow.f64 x 3)))
7.0ms	(-.f64 (.f64 1.0 x) (+.f64 (.f64 5.551115123125783e-17 (pow.f64 x 4)) (*.f64 0.33333333333333337 (pow.f64 x 3))))
6.0ms	(*.f64 0.33333333333333337 (pow.f64 x 3))
6.0ms	(*.f64 5.551115123125783e-17 (pow.f64 x 4))

simplify38.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4943	921
1	4943	921

prune125.0ms (5.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	92	2	94

Merged error: 0b

Counts

94 → 2

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (cbrt.f64 (-.f64 (/.f64 2.0 (+.f64 1.0 (exp.f64 (.f64 -2.0 x)))) 1.0)) (cbrt.f64 (-.f64 (/.f64 2.0 (+.f64 1.0 (exp.f64 (*.f64 -2.0 x)))) 1.0)))
2.0b	(-.f64 (/.f64 2.0 (+.f64 1.0 (exp.f64 (*.f64 -2.0 x)))) 1.0)
2.0b	(-.f64 (/.f64 2.0 (+.f64 1.0 (exp.f64 (*.f64 -2.0 x)))) 1.0)
2.0b	(-.f64 (/.f64 2.0 (+.f64 1.0 (exp.f64 (*.f64 -2.0 x)))) 1.0)

rewrite64.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64` `cbrt-prod_binary64`
14×	`difference-of-squares_binary64`
12×	`cbrt-div_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64` `swap-sqr_binary64`
10×	`add-log-exp_binary64`
9×	`flip3--_binary64` `associate-r_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
7×	`times-frac_binary64`
6×	`pow1/3_binary64` `add-exp-log_binary64`
4×	`add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
3×	`sub-neg_binary64` `diff-log_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 → 101

Calls

4 calls:

28.0ms	(.f64 (cbrt.f64 (-.f64 (/.f64 2.0 (+.f64 1.0 (exp.f64 (.f64 -2.0 x)))) 1.0)) (cbrt.f64 (-.f64 (/.f64 2.0 (+.f64 1.0 (exp.f64 (*.f64 -2.0 x)))) 1.0)))
11.0ms	(-.f64 (/.f64 2.0 (+.f64 1.0 (exp.f64 (*.f64 -2.0 x)))) 1.0)
11.0ms	(-.f64 (/.f64 2.0 (+.f64 1.0 (exp.f64 (*.f64 -2.0 x)))) 1.0)
11.0ms	(-.f64 (/.f64 2.0 (+.f64 1.0 (exp.f64 (*.f64 -2.0 x)))) 1.0)

series77.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(.f64 (cbrt.f64 (-.f64 (/.f64 2.0 (+.f64 1.0 (exp.f64 (.f64 -2.0 x)))) 1.0)) (cbrt.f64 (-.f64 (/.f64 2.0 (+.f64 1.0 (exp.f64 (*.f64 -2.0 x)))) 1.0)))
10.0ms	(-.f64 (/.f64 2.0 (+.f64 1.0 (exp.f64 (*.f64 -2.0 x)))) 1.0)
10.0ms	(-.f64 (/.f64 2.0 (+.f64 1.0 (exp.f64 (*.f64 -2.0 x)))) 1.0)
10.0ms	(-.f64 (/.f64 2.0 (+.f64 1.0 (exp.f64 (*.f64 -2.0 x)))) 1.0)

simplify51.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5030	2225

prune301.0ms (12.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	2	115

Merged error: 0b

Counts

115 → 2

regimes299.0ms (12.6%)

Accuracy

Total 0.6b remaining (97%)

Threshold costs 0.6b (97%)

bsearch1.0ms (0.1%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	105	63
1	105	63

end0.0ms (0%)

sample1.0s (42.3%)

Algorithm

1×

intervals

Results

423.0ms	1744×	body	1280	valid
203.0ms	1205×	body	640	valid
137.0ms	4097×	body	80	valid
74.0ms	645×	body	320	valid
25.0ms	309×	body	160	valid

Details

analyze2.0ms (0.1%)

sample37.0ms (1.6%)

simplify94.0ms (4%)

prune5.0ms (0.2%)

localize7.0ms (0.3%)

rewrite23.0ms (1%)

series19.0ms (0.8%)

simplify57.0ms (2.4%)

prune83.0ms (3.5%)

localize10.0ms (0.4%)

rewrite27.0ms (1.1%)

series33.0ms (1.4%)

simplify38.0ms (1.6%)

prune125.0ms (5.3%)

localize10.0ms (0.4%)

rewrite64.0ms (2.7%)

series77.0ms (3.3%)

simplify51.0ms (2.2%)

prune301.0ms (12.7%)

regimes299.0ms (12.6%)

bsearch1.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (42.3%)

Profiling