Details

analyze332.0ms (12.5%)

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 (1.1%)

Algorithm

1×

intervals

Results

13.0ms	80×	body	1024	valid
4.0ms	40×	body	512	valid
3.0ms	110×	body	128	valid
1.0ms	23×	body	256	valid
0.0ms	3×	body	2048	valid

Compiler

Compiled 15 to 12 computations (20% saved)

simplify168.0ms (6.3%)

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: 38.6b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
4.4b	(-.f64 (exp.f64 x) 1)

rewrite17.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64_1109`
29×	`*-un-lft-identity_binary64_1088`
21×	`times-frac_binary64_1094`
14×	`add-cube-cbrt_binary64_1120`
10×	`difference-of-squares_binary64_1057`
7×	`associate-/r*_binary64_1034`
5×	`difference-of-sqr-1_binary64_1058` `distribute-lft-out--_binary64_1042`
4×	`add-cbrt-cube_binary64_1121` `add-log-exp_binary64_1124`
3×	`add-exp-log_binary64_1123` `associate-/l*_binary64_1035`
2×	`flip3--_binary64_1092` `flip--_binary64_1063` `associate-/r/_binary64_1036` `pow1_binary64_1146`
1×	`clear-num_binary64_1087` `frac-2neg_binary64_1099` `sub-neg_binary64_1081` `div-exp_binary64_1136` `diff-log_binary64_1177` `cbrt-undiv_binary64_1119` `div-inv_binary64_1085`

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 (3.3%)

Counts

2 → 6

Calls

2 calls:

70.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
17.0ms	(-.f64 (exp.f64 x) 1)

simplify52.0ms (2%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4932	1126
1	4932	1126

prune65.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	3	67

Merged error: 0.0b

Counts

67 → 3

Compiler

Compiled 935 to 465 computations (50.3% 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)))
0.3b	(*.f64 x 1/12)

rewrite15.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64_1124`
6×	`add-sqr-sqrt_binary64_1109`
4×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123` `pow1_binary64_1146` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
3×	`associate-r_binary64_1030` `sum-log_binary64_1176` `associate-l_binary64_1031`
1×	`*-commutative_binary64_1021` `unswap-sqr_binary64_1056` `cbrt-unprod_binary64_1118` `associate-+r+_binary64_1022` `+-commutative_binary64_1020` `flip-+_binary64_1062` `pow-prod-down_binary64_1156` `prod-exp_binary64_1134` `flip3-+_binary64_1091`

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)

series44.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

26.0ms	(*.f64 x 1/12)
18.0ms	(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))

simplify75.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4895	417
1	4895	417

prune34.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

Compiler

Compiled 514 to 411 computations (20% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
4.3b	(-.f64 1 (exp.f64 (neg.f64 x)))

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_1109` `*-un-lft-identity_binary64_1088`
18×	`times-frac_binary64_1094`
13×	`add-cube-cbrt_binary64_1120`
10×	`difference-of-squares_binary64_1057`
6×	`associate-/r*_binary64_1034` `add-exp-log_binary64_1123`
5×	`distribute-lft-out--_binary64_1042`
4×	`add-cbrt-cube_binary64_1121` `add-log-exp_binary64_1124`
3×	`pow1_binary64_1146` `associate-/l*_binary64_1035`
2×	`flip3--_binary64_1092` `flip--_binary64_1063` `associate-/r/_binary64_1036` `div-exp_binary64_1136`
1×	`clear-num_binary64_1087` `frac-2neg_binary64_1099` `inv-pow_binary64_1170` `sub-neg_binary64_1081` `rec-exp_binary64_1135` `1-exp_binary64_1129` `diff-log_binary64_1177` `cbrt-undiv_binary64_1119` `pow-flip_binary64_1159` `div-inv_binary64_1085`

Counts

2 → 59

Calls

2 calls:

7.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
5.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

series85.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

64.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
21.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

simplify75.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5267	1034

prune51.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	65	3	68

Merged error: 0.0b

Counts

68 → 3

Compiler

Compiled 871 to 557 computations (36.1% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(+.f64 (exp.f64 x) 1)
0.5b	(*.f64 (/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) 1))
4.3b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite48.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64_1109`
47×	`*-un-lft-identity_binary64_1088`
38×	`times-frac_binary64_1094`
26×	`add-cube-cbrt_binary64_1120`
24×	`associate-l_binary64_1031`
17×	`add-exp-log_binary64_1123`
11×	`add-cbrt-cube_binary64_1121`
8×	`sinh-undef_binary64_1278` `add-log-exp_binary64_1124` `distribute-lft-out--_binary64_1042` `difference-of-squares_binary64_1057`
7×	`pow1_binary64_1146`
6×	`associate-/r*_binary64_1034`
4×	`associate-r_binary64_1030` `associate-/r/_binary64_1036` `div-exp_binary64_1136` `prod-exp_binary64_1134`
3×	`unswap-sqr_binary64_1056` `flip3--_binary64_1092` `flip--_binary64_1063` `flip-+_binary64_1062` `flip3-+_binary64_1091` `associate-/l*_binary64_1035`
2×	`cbrt-unprod_binary64_1118` `frac-times_binary64_1098` `rec-exp_binary64_1135` `1-exp_binary64_1129` `cbrt-undiv_binary64_1119` `distribute-lft-out_binary64_1041` `associate-*r/_binary64_1032` `div-inv_binary64_1085`
1×	`-commutative_binary64_1021` `clear-num_binary64_1087` `frac-2neg_binary64_1099` `inv-pow_binary64_1170` `associate-l/_binary64_1033` `distribute-rgt-in_binary64_1040` `sub-neg_binary64_1081` `sum-log_binary64_1176` `+-commutative_binary64_1020` `diff-log_binary64_1177` `pow-prod-down_binary64_1156` `pow-flip_binary64_1159` `distribute-lft-in_binary64_1039`

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))))
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(+.f64 (exp.f64 x) 1)

series266.0ms (10%)

Counts

4 → 12

Calls

4 calls:

111.0ms	(*.f64 (/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) 1))
106.0ms	(/.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)

simplify80.0ms (3%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5749	2486

prune116.0ms (4.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	136	3	139

Merged error: 0.0b

Counts

139 → 3

Compiler

Compiled 2575 to 1104 computations (57.1% saved)

regimes9.0ms (0.3%)

Compiler: Compiled 37 to 32 computations (13.5% 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%)

sample960.0ms (36.2%)

Algorithm

1×

intervals

Results

421.0ms	2645×	body	1024	valid
123.0ms	1350×	body	512	valid
91.0ms	3054×	body	128	valid
50.0ms	275×	body	2048	valid
40.0ms	676×	body	256	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 59 to 52 computations (11.9% saved)

Details

analyze332.0ms (12.5%)

sample28.0ms (1.1%)

simplify168.0ms (6.3%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite17.0ms (0.7%)

series87.0ms (3.3%)

simplify52.0ms (2%)

prune65.0ms (2.4%)

localize6.0ms (0.2%)

rewrite15.0ms (0.6%)

series44.0ms (1.7%)

simplify75.0ms (2.8%)

prune34.0ms (1.3%)

localize5.0ms (0.2%)

rewrite16.0ms (0.6%)

series85.0ms (3.2%)

simplify75.0ms (2.8%)

prune51.0ms (1.9%)

localize8.0ms (0.3%)

rewrite48.0ms (1.8%)

series266.0ms (10%)

simplify80.0ms (3%)

prune116.0ms (4.4%)

regimes9.0ms (0.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample960.0ms (36.2%)

Profiling