Details

analyze327.0ms (11.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.2%	24.3%	13
31.5%	44.2%	24.3%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample28.0ms (1%)

Algorithm

1×

intervals

Results

14.0ms	89×	body	1024	valid
3.0ms	107×	body	128	valid
3.0ms	32×	body	512	valid
2.0ms	24×	body	256	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 15 to 12 computations (20% saved)

simplify164.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	11
1	10	11

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: 38.9b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.5b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
4.6b	(-.f64 (exp.f64 x) 1)

rewrite18.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64_772`
29×	`*-un-lft-identity_binary64_751`
21×	`times-frac_binary64_757`
14×	`add-cube-cbrt_binary64_783`
10×	`difference-of-squares_binary64_720`
7×	`associate-/r*_binary64_697`
5×	`distribute-lft-out--_binary64_705` `difference-of-sqr-1_binary64_721`
4×	`add-log-exp_binary64_787` `add-cbrt-cube_binary64_784`
3×	`add-exp-log_binary64_786` `associate-/l*_binary64_698`
2×	`pow1_binary64_809` `flip--_binary64_726` `associate-/r/_binary64_699` `flip3--_binary64_755`
1×	`div-inv_binary64_748` `diff-log_binary64_840` `cbrt-undiv_binary64_782` `frac-2neg_binary64_762` `clear-num_binary64_750` `sub-neg_binary64_744` `div-exp_binary64_799`

Counts

2 → 60

Calls

2 calls:

8.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
5.0ms	(-.f64 (exp.f64 x) 1)

series87.0ms (3%)

Counts

2 → 6

Calls

2 calls:

69.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
17.0ms	(-.f64 (exp.f64 x) 1)

simplify50.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4932	1126
1	4932	1126

prune71.0ms (2.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	4	67

Merged error: 0.0b

Counts

67 → 4

Compiler

Compiled 944 to 472 computations (50% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))
0.4b	(*.f64 x 1/12)

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64_787`
6×	`add-sqr-sqrt_binary64_772`
4×	`add-cube-cbrt_binary64_783` `pow1_binary64_809` `add-cbrt-cube_binary64_784` `*-un-lft-identity_binary64_751` `add-exp-log_binary64_786`
3×	`sum-log_binary64_839` `associate-l_binary64_694` `associate-r_binary64_693`
1×	`prod-exp_binary64_797` `+-commutative_binary64_683` `unswap-sqr_binary64_719` `flip3-+_binary64_754` `pow-prod-down_binary64_819` `*-commutative_binary64_684` `associate-+r+_binary64_685` `cbrt-unprod_binary64_781` `flip-+_binary64_725`

Counts

2 → 31

Calls

2 calls:

10.0ms	(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))
4.0ms	(*.f64 x 1/12)

series41.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

24.0ms	(*.f64 x 1/12)
17.0ms	(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))

simplify76.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4895	417
1	4895	417

prune35.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	37	4	41

Merged error: 0.0b

Counts

41 → 4

Compiler

Compiled 523 to 418 computations (20.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
4.6b	(-.f64 1 (exp.f64 (neg.f64 x)))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_751` `add-sqr-sqrt_binary64_772`
18×	`times-frac_binary64_757`
13×	`add-cube-cbrt_binary64_783`
10×	`difference-of-squares_binary64_720`
6×	`associate-/r*_binary64_697` `add-exp-log_binary64_786`
5×	`distribute-lft-out--_binary64_705`
4×	`add-log-exp_binary64_787` `add-cbrt-cube_binary64_784`
3×	`pow1_binary64_809` `associate-/l*_binary64_698`
2×	`flip--_binary64_726` `associate-/r/_binary64_699` `flip3--_binary64_755` `div-exp_binary64_799`
1×	`1-exp_binary64_792` `rec-exp_binary64_798` `inv-pow_binary64_833` `div-inv_binary64_748` `diff-log_binary64_840` `cbrt-undiv_binary64_782` `frac-2neg_binary64_762` `clear-num_binary64_750` `sub-neg_binary64_744` `pow-flip_binary64_822`

Counts

2 → 59

Calls

2 calls:

8.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
5.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

series87.0ms (3%)

Counts

2 → 6

Calls

2 calls:

66.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
21.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

simplify73.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5267	1034

prune48.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	65	4	69

Merged error: 0.0b

Counts

69 → 4

Compiler

Compiled 863 to 550 computations (36.3% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) 1)
0.0b	(/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.5b	(*.f64 (/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) 1))
4.6b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite49.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64_772`
47×	`*-un-lft-identity_binary64_751`
38×	`times-frac_binary64_757`
26×	`add-cube-cbrt_binary64_783`
24×	`associate-l_binary64_694`
17×	`add-exp-log_binary64_786`
11×	`add-cbrt-cube_binary64_784`
8×	`distribute-lft-out--_binary64_705` `sinh-undef_binary64_941` `add-log-exp_binary64_787` `difference-of-squares_binary64_720`
7×	`pow1_binary64_809`
6×	`associate-/r*_binary64_697`
4×	`prod-exp_binary64_797` `associate-/r/_binary64_699` `associate-r_binary64_693` `div-exp_binary64_799`
3×	`unswap-sqr_binary64_719` `flip3-+_binary64_754` `flip--_binary64_726` `associate-/l*_binary64_698` `flip3--_binary64_755` `flip-+_binary64_725`
2×	`1-exp_binary64_792` `frac-times_binary64_761` `distribute-lft-out_binary64_704` `rec-exp_binary64_798` `div-inv_binary64_748` `associate-*r/_binary64_695` `cbrt-undiv_binary64_782` `cbrt-unprod_binary64_781`
1×	`+-commutative_binary64_683` `distribute-lft-in_binary64_702` `pow-prod-down_binary64_819` `inv-pow_binary64_833` `-commutative_binary64_684` `diff-log_binary64_840` `sum-log_binary64_839` `frac-2neg_binary64_762` `clear-num_binary64_750` `sub-neg_binary64_744` `associate-l/_binary64_696` `distribute-rgt-in_binary64_703` `pow-flip_binary64_822`

Counts

4 → 124

Calls

4 calls:

19.0ms	(*.f64 (/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) 1))
8.0ms	(/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(+.f64 (exp.f64 x) 1)

series251.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

102.0ms	(*.f64 (/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) 1))
99.0ms	(/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
39.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
10.0ms	(+.f64 (exp.f64 x) 1)

simplify83.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5749	2486

prune119.0ms (4.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	136	4	140

Merged error: 0b

Counts

140 → 4

Compiler

Compiled 2575 to 1104 computations (57.1% saved)

regimes89.0ms (3.1%)

Compiler: Compiled 837 to 592 computations (29.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample1.1s (39%)

Algorithm

1×

intervals

Results

418.0ms	2629×	body	1024	valid
118.0ms	1308×	body	512	valid
85.0ms	3090×	body	128	valid
48.0ms	265×	body	2048	valid
42.0ms	708×	body	256	valid
0.0ms	2×	body	2048	invalid

Compiler

Compiled 245 to 180 computations (26.5% saved)

Details

analyze327.0ms (11.4%)

sample28.0ms (1%)

simplify164.0ms (5.7%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite18.0ms (0.6%)

series87.0ms (3%)

simplify50.0ms (1.7%)

prune71.0ms (2.5%)

localize6.0ms (0.2%)

rewrite16.0ms (0.5%)

series41.0ms (1.4%)

simplify76.0ms (2.6%)

prune35.0ms (1.2%)

localize5.0ms (0.2%)

rewrite17.0ms (0.6%)

series87.0ms (3%)

simplify73.0ms (2.5%)

prune48.0ms (1.7%)

localize8.0ms (0.3%)

rewrite49.0ms (1.7%)

series251.0ms (8.7%)

simplify83.0ms (2.9%)

prune119.0ms (4.1%)

regimes89.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (39%)

Profiling