Details

analyze328.0ms (11.8%)

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)

sample30.0ms (1.1%)

Algorithm

1×

intervals

Results

15.0ms	88×	body	1024	valid
4.0ms	44×	body	512	valid
2.0ms	95×	body	128	valid
2.0ms	11×	body	2048	valid
1.0ms	18×	body	256	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 15 to 12 computations (20% saved)

simplify166.0ms (6%)

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: 41.7b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.4b	(-.f64 (exp.f64 x) 1)

rewrite21.0ms (0.8%)

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

series90.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

72.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
18.0ms	(-.f64 (exp.f64 x) 1)

simplify51.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4932	1126
1	4932	1126

prune67.0ms (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 931 to 462 computations (50.4% 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)

rewrite18.0ms (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:

12.0ms	(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))
4.0ms	(*.f64 x 1/12)

series43.0ms (1.6%)

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 (2.7%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4895	417
1	4895	417

prune32.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

Compiler

Compiled 521 to 418 computations (19.8% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
3.4b	(-.f64 1 (exp.f64 (neg.f64 x)))

rewrite17.0ms (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)))

series89.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

65.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
23.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

simplify73.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5267	1034

prune52.0ms (1.9%)

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 861 to 550 computations (36.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (-.f64 (exp.f64 x) 1))
0.0b	(/.f64 (exp.f64 x) (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))))
3.4b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
3.4b	(-.f64 (exp.f64 x) 1)

rewrite37.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64_1109`
48×	`*-un-lft-identity_binary64_1088`
42×	`exp-prod_binary64_1137`
40×	`log-pow_binary64_1174`
33×	`times-frac_binary64_1094`
27×	`add-cube-cbrt_binary64_1120`
14×	`difference-of-squares_binary64_1057`
11×	`associate-/r*_binary64_1034`
9×	`add-log-exp_binary64_1124` `pow1_binary64_1146`
7×	`difference-of-sqr-1_binary64_1058` `distribute-lft-out--_binary64_1042`
6×	`add-cbrt-cube_binary64_1121`
5×	`add-exp-log_binary64_1123`
4×	`log-prod_binary64_1171`
3×	`sub-neg_binary64_1081` `associate-/l*_binary64_1035`
2×	`exp-sum_binary64_1131` `rem-exp-log_binary64_1125` `diff-log_binary64_1177` `exp-diff_binary64_1133`
1×	`clear-num_binary64_1087` `frac-2neg_binary64_1099` `rem-log-exp_binary64_1126` `flip3--_binary64_1092` `flip--_binary64_1063` `div-exp_binary64_1136` `log-div_binary64_1172` `cbrt-undiv_binary64_1119` `div-inv_binary64_1085`

Counts

4 → 113

Calls

4 calls:

9.0ms	(/.f64 (exp.f64 x) (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))))
6.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
6.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))
5.0ms	(-.f64 (exp.f64 x) 1)

series423.0ms (15.1%)

Counts

4 → 12

Calls

4 calls:

209.0ms	(/.f64 (exp.f64 x) (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))))
152.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
47.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))
15.0ms	(-.f64 (exp.f64 x) 1)

simplify78.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4947	1874
1	4947	1874

prune94.0ms (3.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	125	4	129

Merged error: 0.0b

Counts

129 → 4

Compiler

Compiled 1745 to 924 computations (47% saved)

regimes25.0ms (0.9%)

Compiler: Compiled 78 to 70 computations (10.3% saved)

bsearch0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	36
1	31	36

end0.0ms (0%)

sample954.0ms (34.2%)

Algorithm

1×

intervals

Results

420.0ms	2659×	body	1024	valid
111.0ms	1276×	body	512	valid
80.0ms	3075×	body	128	valid
55.0ms	303×	body	2048	valid
42.0ms	687×	body	256	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 74 to 63 computations (14.9% saved)

Details

analyze328.0ms (11.8%)

sample30.0ms (1.1%)

simplify166.0ms (6%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite21.0ms (0.8%)

series90.0ms (3.2%)

simplify51.0ms (1.8%)

prune67.0ms (2.4%)

localize6.0ms (0.2%)

rewrite18.0ms (0.6%)

series43.0ms (1.6%)

simplify75.0ms (2.7%)

prune32.0ms (1.1%)

localize7.0ms (0.3%)

rewrite17.0ms (0.6%)

series89.0ms (3.2%)

simplify73.0ms (2.6%)

prune52.0ms (1.9%)

localize7.0ms (0.2%)

rewrite37.0ms (1.3%)

series423.0ms (15.1%)

simplify78.0ms (2.8%)

prune94.0ms (3.4%)

regimes25.0ms (0.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample954.0ms (34.2%)

Profiling