Details

analyze9.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample61.0ms (1.7%)

Algorithm

1×

intervals

Results

37.0ms	133×	body	1024	valid
8.0ms	59×	body	512	valid
5.0ms	14×	body	2048	valid
3.0ms	29×	body	256	valid
2.0ms	21×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify224.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4828	13
1	4828	13

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

Merged error: 58.0b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

6.0b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_787` `*-un-lft-identity_binary64_751` `add-sqr-sqrt_binary64_772`
1×	`distribute-lft-out--_binary64_705` `add-cube-cbrt_binary64_783` `sinh-undef_binary64_941` `pow1_binary64_809` `flip--_binary64_726` `add-cbrt-cube_binary64_784` `diff-log_binary64_840` `add-exp-log_binary64_786` `sub-neg_binary64_744` `flip3--_binary64_755` `difference-of-squares_binary64_720`

Counts

1 → 14

Calls

1 calls:

5.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series41.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

41.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify76.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4875	255
1	4875	255

prune17.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	3	18

Merged error: 0b

Counts

18 → 3

Compiler

Compiled 262 to 132 computations (49.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(sinh.f64 x)

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`add-cube-cbrt_binary64_783` `pow1_binary64_809` `add-log-exp_binary64_787` `sinh-def_binary64_933` `add-cbrt-cube_binary64_784` `*-un-lft-identity_binary64_751` `add-exp-log_binary64_786` `add-sqr-sqrt_binary64_772`

Counts

1 → 8

Calls

1 calls:

1.0ms

(sinh.f64 x)

series80.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

80.0ms

(sinh.f64 x)

simplify57.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5412	98

prune11.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	11	3	14

Merged error: 0b

Counts

14 → 3

Compiler

Compiled 155 to 109 computations (29.7% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 1/60 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_772`
19×	`associate-r_binary64_693`
12×	`add-exp-log_binary64_786`
9×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
8×	`unpow-prod-down_binary64_827`
7×	`unswap-sqr_binary64_719`
6×	`prod-exp_binary64_797` `add-cbrt-cube_binary64_784` `associate-l_binary64_694`
4×	`sqr-pow_binary64_723` `cube-prod_binary64_776`
2×	`pow-to-exp_binary64_817` `pow-exp_binary64_816` `pow1_binary64_809` `add-log-exp_binary64_787` `*-commutative_binary64_684` `cbrt-unprod_binary64_781`
1×	`cube-mult_binary64_778` `unpow3_binary64_814`

Counts

2 → 56

Calls

2 calls:

7.0ms	(*.f64 1/3 (pow.f64 x 3))
6.0ms	(*.f64 1/60 (pow.f64 x 5))

series117.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

70.0ms	(*.f64 1/60 (pow.f64 x 5))
47.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify86.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4964	582
1	4964	582

prune70.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	62	3	65

Merged error: 0b

Counts

65 → 3

Compiler

Compiled 1326 to 949 computations (28.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(pow.f64 (exp.f64 x) 2)
6.0b	(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))

rewrite61.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

128×	`add-sqr-sqrt_binary64_772`
84×	`difference-of-squares_binary64_720`
80×	`times-frac_binary64_757` `*-un-lft-identity_binary64_751`
52×	`unpow-prod-down_binary64_827`
50×	`sqr-pow_binary64_723`
30×	`add-cube-cbrt_binary64_783`
22×	`unpow2_binary64_813`
18×	`distribute-lft-out_binary64_704` `cosh-undef_binary64_942`
16×	`associate-/l*_binary64_698`
8×	`add-log-exp_binary64_787`
7×	`distribute-lft-out--_binary64_705`
6×	`add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
5×	`associate-/r*_binary64_697` `pow1_binary64_809`
4×	`pow-pow_binary64_820`
3×	`exp-prod_binary64_800` `pow-unpow_binary64_825`
2×	`flip3-+_binary64_754` `associate-/l/_binary64_700` `flip--_binary64_726` `associate-/r/_binary64_699` `flip3--_binary64_755` `flip-+_binary64_725`
1×	`pow-to-exp_binary64_817` `+-commutative_binary64_683` `div-sub_binary64_756` `pow-exp_binary64_816` `div-inv_binary64_748` `diff-log_binary64_840` `cbrt-undiv_binary64_782` `sum-log_binary64_839` `frac-2neg_binary64_762` `clear-num_binary64_750` `sub-neg_binary64_744` `div-exp_binary64_799`

Counts

4 → 176

Calls

4 calls:

17.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
9.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(pow.f64 (exp.f64 x) 2)

series388.0ms (10.8%)

Counts

4 → 12

Calls

4 calls:

238.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
105.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))
24.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
20.0ms	(pow.f64 (exp.f64 x) 2)

simplify108.0ms (3%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4978	5176
1	4978	5176

prune168.0ms (4.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	188	3	191

Merged error: 0b

Counts

191 → 3

Compiler

Compiled 4658 to 1493 computations (67.9% saved)

regimes38.0ms (1.1%)

Compiler: Compiled 294 to 236 computations (19.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample1.9s (53.4%)

Algorithm

1×

intervals

Results

1.1s	3985×	body	1024	valid
288.0ms	1981×	body	512	valid
128.0ms	420×	body	2048	valid
94.0ms	983×	body	256	valid
29.0ms	631×	body	128	valid

Compiler

Compiled 103 to 85 computations (17.5% saved)

Details

analyze9.0ms (0.3%)

sample61.0ms (1.7%)

simplify224.0ms (6.2%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite6.0ms (0.2%)

series41.0ms (1.1%)

simplify76.0ms (2.1%)

prune17.0ms (0.5%)

localize4.0ms (0.1%)

rewrite2.0ms (0%)

series80.0ms (2.2%)

simplify57.0ms (1.6%)

prune11.0ms (0.3%)

localize11.0ms (0.3%)

rewrite17.0ms (0.5%)

series117.0ms (3.3%)

simplify86.0ms (2.4%)

prune70.0ms (2%)

localize11.0ms (0.3%)

rewrite61.0ms (1.7%)

series388.0ms (10.8%)

simplify108.0ms (3%)

prune168.0ms (4.7%)

regimes38.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (53.4%)

Profiling