Details

analyze19.0ms (0.7%)

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%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12
50.4%	1%	48.6%	13
50.5%	0.9%	48.6%	14

sample66.0ms (2.2%)

Algorithm

1×

intervals

Results

38.0ms	114×	body	1280	valid
15.0ms	76×	body	640	valid
3.0ms	24×	body	320	valid
2.0ms	23×	body	160	valid
1.0ms	19×	body	80	valid

simplify58.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4835	13
1	4835	13

prune4.0ms (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: 56.8b

Counts

2 → 1

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.8b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite20.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`*-un-lft-identity_binary64`
30×	`times-frac_binary64`
29×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64`
7×	`distribute-lft-out_binary64` `sinh-undef_binary64` `cosh-undef_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
5×	`associate-/r*_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `tanh-undef_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

2 → 73

Calls

2 calls:

12.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series26.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

20.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify57.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	6048	1262

prune74.0ms (2.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	3	80

Merged error: 0.0b

Counts

80 → 3

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(tanh.f64 x)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `tanh-def-a_binary64` `tanh-def-b_binary64` `tanh-def-c_binary64`

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh.f64 x)

series17.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

17.0ms

(tanh.f64 x)

simplify39.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	6007	79

prune19.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite48.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
16×	`add-exp-log_binary64`
15×	`times-frac_binary64`
13×	`add-log-exp_binary64`
10×	`add-cbrt-cube_binary64`
8×	`unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`associate-l_binary64` `prod-exp_binary64` `sum-log_binary64`
5×	`associate-/r*_binary64`
4×	`pow1_binary64` `distribute-lft-out_binary64` `sqr-pow_binary64` `cosh-undef_binary64` `cube-prod_binary64`
3×	`flip3-+_binary64` `associate-/l*_binary64` `flip-+_binary64`
2×	`pow-to-exp_binary64` `associate-/l/_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `associate-+r+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 109

Calls

4 calls:

19.0ms	(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
13.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x)))
7.0ms	(*.f64 1/3 (pow.f64 x 3))
6.0ms	(*.f64 1/60 (pow.f64 x 5))

series39.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
8.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x)))
6.0ms	(*.f64 1/60 (pow.f64 x 5))
5.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify47.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4947	2016
1	4947	2016

prune166.0ms (5.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	121	3	124

Merged error: 0.0b

Counts

124 → 3

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) -2)
0.0b	(pow.f64 (exp.f64 x) -2)
0.5b	(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (+.f64 1 (pow.f64 (exp.f64 x) -2)))
5.7b	(-.f64 1 (pow.f64 (exp.f64 x) -2))

rewrite33.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
68×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
36×	`difference-of-squares_binary64`
26×	`add-cube-cbrt_binary64`
18×	`unpow-prod-down_binary64`
14×	`sqr-pow_binary64`
11×	`distribute-lft-out_binary64`
10×	`associate-/l*_binary64`
8×	`pow-pow_binary64`
6×	`pow-unpow_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `exp-prod_binary64`
4×	`associate-/r*_binary64`
2×	`pow-to-exp_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64` `pow-exp_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

4 → 129

Calls

4 calls:

13.0ms	(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (+.f64 1 (pow.f64 (exp.f64 x) -2)))
6.0ms	(-.f64 1 (pow.f64 (exp.f64 x) -2))
4.0ms	(pow.f64 (exp.f64 x) -2)
4.0ms	(pow.f64 (exp.f64 x) -2)

series52.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (+.f64 1 (pow.f64 (exp.f64 x) -2)))
9.0ms	(-.f64 1 (pow.f64 (exp.f64 x) -2))
7.0ms	(pow.f64 (exp.f64 x) -2)
7.0ms	(pow.f64 (exp.f64 x) -2)

simplify45.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5078	1895

prune165.0ms (5.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	141	3	144

Merged error: 0.0b

Counts

144 → 3

regimes26.0ms (0.9%)

Accuracy

Total 0.0b remaining (70.5%)

Threshold costs 0.0b (70.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	2	2
1	2	2

end0.0ms (0%)

sample1.9s (64.2%)

Algorithm

1×

intervals

Results

1.1s	3287×	body	1280	valid
476.0ms	2385×	body	640	valid
158.0ms	1240×	body	320	valid
51.0ms	627×	body	160	valid
19.0ms	461×	body	80	valid
0.0ms	1×	body	80	overflowed

Details

analyze19.0ms (0.7%)

sample66.0ms (2.2%)

simplify58.0ms (2%)

prune4.0ms (0.1%)

localize7.0ms (0.2%)

rewrite20.0ms (0.7%)

series26.0ms (0.9%)

simplify57.0ms (1.9%)

prune74.0ms (2.5%)

localize2.0ms (0.1%)

rewrite1.0ms (0%)

series17.0ms (0.6%)

simplify39.0ms (1.3%)

prune19.0ms (0.6%)

localize14.0ms (0.5%)

rewrite48.0ms (1.6%)

series39.0ms (1.3%)

simplify47.0ms (1.6%)

prune166.0ms (5.6%)

localize7.0ms (0.2%)

rewrite33.0ms (1.1%)

series52.0ms (1.8%)

simplify45.0ms (1.5%)

prune165.0ms (5.6%)

regimes26.0ms (0.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.9s (64.2%)

Profiling