Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample37.0ms (1.4%)

Algorithm

1×

intervals

Results

19.0ms	127×	body	1024	valid
4.0ms	57×	body	512	valid
3.0ms	256×	pre	128	true
3.0ms	16×	body	2048	valid
2.0ms	38×	body	256	valid
0.0ms	18×	body	128	valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify165.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

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: 59.0b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

6.8b	(-.f64 (exp.f64 x) 1)

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_1109`
4×	`*-un-lft-identity_binary64_1088`
3×	`add-log-exp_binary64_1124`
2×	`difference-of-squares_binary64_1057`
1×	`add-cbrt-cube_binary64_1121` `difference-of-sqr-1_binary64_1058` `flip3--_binary64_1092` `sub-neg_binary64_1081` `flip--_binary64_1063` `add-exp-log_binary64_1123` `diff-log_binary64_1177` `pow1_binary64_1146` `distribute-lft-out--_binary64_1042` `add-cube-cbrt_binary64_1120`

Counts

1 → 15

Calls

1 calls:

5.0ms

(-.f64 (exp.f64 x) 1)

series17.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

17.0ms

(-.f64 (exp.f64 x) 1)

simplify97.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4892	196
1	4892	196

prune22.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	17	2	19

Merged error: 0.1b

Counts

19 → 2

Compiler

Compiled 172 to 110 computations (36% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.3b	(*.f64 x 1/6)

rewrite24.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-cbrt-cube_binary64_1121` `add-sqr-sqrt_binary64_1109` `add-exp-log_binary64_1123` `pow1_binary64_1146`
9×	`associate-l_binary64_1031`
8×	`*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
7×	`associate-r_binary64_1030`
6×	`associate-*r/_binary64_1032`
5×	`cbrt-unprod_binary64_1118` `distribute-rgt-in_binary64_1040` `pow-prod-down_binary64_1156` `prod-exp_binary64_1134` `distribute-lft-in_binary64_1039`
3×	`*-commutative_binary64_1021` `add-log-exp_binary64_1124`
2×	`unswap-sqr_binary64_1056` `flip-+_binary64_1062` `flip3-+_binary64_1091`

Counts

3 → 64

Calls

3 calls:

9.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
6.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

series189.0ms (7%)

Counts

3 → 9

Calls

3 calls:

92.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
75.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
22.0ms	(*.f64 x 1/6)

simplify71.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4974	823
1	4974	823

prune59.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	73	2	75

Merged error: 0.1b

Counts

75 → 2

Compiler

Compiled 1112 to 759 computations (31.7% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
0.1b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
6.8b	(-.f64 (exp.f64 x) 1)

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_1109`
24×	`*-un-lft-identity_binary64_1088`
20×	`cbrt-prod_binary64_1116`
14×	`cube-prod_binary64_1113` `unpow-prod-down_binary64_1164`
10×	`difference-of-squares_binary64_1057`
9×	`add-cube-cbrt_binary64_1120`
5×	`difference-of-sqr-1_binary64_1058` `add-log-exp_binary64_1124` `distribute-lft-out--_binary64_1042`
4×	`add-cbrt-cube_binary64_1121` `cube-div_binary64_1114` `add-exp-log_binary64_1123` `pow1_binary64_1146`
3×	`flip3--_binary64_1092` `flip--_binary64_1063` `pow-unpow_binary64_1162`
2×	`unpow3_binary64_1151` `sqr-pow_binary64_1060` `cube-mult_binary64_1115` `cbrt-div_binary64_1117`
1×	`rem-cube-cbrt_binary64_1110` `sub-neg_binary64_1081` `rem-cbrt-cube_binary64_1111` `pow-exp_binary64_1153` `pow-pow_binary64_1157` `diff-log_binary64_1177` `pow-to-exp_binary64_1154` `pow1/3_binary64_1167`

Counts

3 → 79

Calls

3 calls:

6.0ms	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
6.0ms	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
5.0ms	(-.f64 (exp.f64 x) 1)

series96.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

62.0ms	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
17.0ms	(-.f64 (exp.f64 x) 1)
16.0ms	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))

simplify77.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4904	1116
1	4904	1116

prune62.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	87	3	90

Merged error: 0.1b

Counts

90 → 3

Compiler

Compiled 997 to 689 computations (30.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
0.0b	(pow.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) 3)
0.3b	(*.f64 x 1/6)
40.0b	(cbrt.f64 (pow.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) 3))

rewrite28.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1109`
13×	`*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
12×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123` `cbrt-prod_binary64_1116` `pow1_binary64_1146`
6×	`cube-prod_binary64_1113` `unpow-prod-down_binary64_1164` `associate-r_binary64_1030`
4×	`cube-div_binary64_1114` `cbrt-unprod_binary64_1118` `associate-l_binary64_1031` `pow-prod-down_binary64_1156` `prod-exp_binary64_1134` `add-log-exp_binary64_1124`
3×	`flip-+_binary64_1062` `flip3-+_binary64_1091` `pow-unpow_binary64_1162`
2×	`-commutative_binary64_1021` `unpow3_binary64_1151` `unswap-sqr_binary64_1056` `sqr-pow_binary64_1060` `cube-mult_binary64_1115` `cbrt-div_binary64_1117` `associate-r/_binary64_1032`
1×	`rem-cube-cbrt_binary64_1110` `distribute-rgt-in_binary64_1040` `rem-cbrt-cube_binary64_1111` `pow-exp_binary64_1153` `pow-pow_binary64_1157` `pow-to-exp_binary64_1154` `pow1/3_binary64_1167` `distribute-lft-in_binary64_1039`

Counts

4 → 89

Calls

4 calls:

8.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) 3))
4.0ms	(pow.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) 3)
4.0ms	(*.f64 x 1/6)

series186.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

100.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
34.0ms	(pow.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) 3)
29.0ms	(cbrt.f64 (pow.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) 3))
23.0ms	(*.f64 x 1/6)

simplify45.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5530	1896

prune99.0ms (3.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	101	3	104

Merged error: 0.1b

Counts

104 → 3

Compiler

Compiled 2008 to 1343 computations (33.1% saved)

regimes67.0ms (2.5%)

Compiler: Compiled 498 to 424 computations (14.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms (0%)

sample1.3s (48.2%)

Algorithm

1×

intervals

Results

578.0ms	3930×	body	1024	valid
157.0ms	2006×	body	512	valid
100.0ms	8001×	pre	128	true
65.0ms	430×	body	2048	valid
54.0ms	1049×	body	256	valid
17.0ms	585×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 143 to 118 computations (17.5% saved)

Details

analyze3.0ms (0.1%)

sample37.0ms (1.4%)

simplify165.0ms (6.1%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite6.0ms (0.2%)

series17.0ms (0.6%)

simplify97.0ms (3.6%)

prune22.0ms (0.8%)

localize7.0ms (0.2%)

rewrite24.0ms (0.9%)

series189.0ms (7%)

simplify71.0ms (2.6%)

prune59.0ms (2.2%)

localize5.0ms (0.2%)

rewrite23.0ms (0.8%)

series96.0ms (3.5%)

simplify77.0ms (2.9%)

prune62.0ms (2.3%)

localize9.0ms (0.3%)

rewrite28.0ms (1%)

series186.0ms (6.9%)

simplify45.0ms (1.6%)

prune99.0ms (3.7%)

regimes67.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (48.2%)

Profiling