Details

analyze98.0ms (4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6
0	1	1
1	1	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)

sample36.0ms (1.5%)

Algorithm

1×

intervals

Results

15.0ms	129×	body	1024	valid
4.0ms	65×	body	512	valid
3.0ms	256×	pre	128	true
2.0ms	17×	body	2048	valid
1.0ms	28×	body	256	valid
0.0ms	17×	body	128	valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify7.0ms (0.3%)

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

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:

4.7b	(-.f64 (exp.f64 x) 1)

rewrite20.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

58.9b

Rules

6×	`add-sqr-sqrt_binary64_1123`
5×	`*-un-lft-identity_binary64_1101`
3×	`add-log-exp_binary64_1140` `cancel-sign-sub-inv_binary64_1067`
2×	`add-cube-cbrt_binary64_1136` `difference-of-squares_binary64_1070`
1×	`diff-log_binary64_1193` `pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `flip3--_binary64_1105` `sub-neg_binary64_1094` `flip--_binary64_1076` `difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

Compiler

Compiled 185 to 119 computations (35.7% saved)

series25.0ms (1%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

16.0ms

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

Compiler

Compiled 104 to 86 computations (17.3% saved)

simplify74.0ms (3%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4922	232
1	4922	232

prune17.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Error

0.0b

Counts

25 → 3

Compiler

Compiled 206 to 129 computations (37.4% saved)

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite96.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-sqr-sqrt_binary64_1123`
9×	`add-cube-cbrt_binary64_1136` `-un-lft-identity_binary64_1101` `associate-l*_binary64_1042` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
7×	`associate-r_binary64_1041`
6×	`add-log-exp_binary64_1140` `associate-*r/_binary64_1043`
5×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
4×	`associate-+r+_binary64_1033`
3×	`*-commutative_binary64_1032` `flip3-+_binary64_1104` `flip-+_binary64_1075`
2×	`unswap-sqr_binary64_1069`
1×	`sum-log_binary64_1192` `+-commutative_binary64_1031`

Counts

4 → 79

Calls

4 calls:

7.0ms	(.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)
4.0ms	(+.f64 x (.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6)))))

Compiler

Compiled 1452 to 972 computations (33.1% saved)

series233.0ms (9.4%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

92.0ms	(+.f64 x (.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6)))))
58.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
51.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
17.0ms	(*.f64 x 1/6)

Compiler

Compiled 622 to 485 computations (22% saved)

simplify90.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4936	1266
1	4936	1266

prune77.0ms (3.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	103	3	106

Error

0.0b

Counts

106 → 3

Compiler

Compiled 1509 to 975 computations (35.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.7b	(-.f64 (exp.f64 x) 1)
5.2b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))

rewrite45.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_1123`
12×	`*-un-lft-identity_binary64_1101`
8×	`log-pow_binary64_1190`
7×	`exp-prod_binary64_1153` `log-prod_binary64_1187`
6×	`add-cube-cbrt_binary64_1136` `cancel-sign-sub-inv_binary64_1067`
4×	`difference-of-squares_binary64_1070` `exp-sum_binary64_1147` `add-log-exp_binary64_1140`
3×	`pow1_binary64_1162`
2×	`difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053` `sub-neg_binary64_1094` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
1×	`exp-diff_binary64_1149` `log-div_binary64_1188` `rem-log-exp_binary64_1142` `diff-log_binary64_1193` `flip3--_binary64_1105` `flip--_binary64_1076`

Counts

2 → 42

Calls

2 calls:

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

Compiler

Compiled 516 to 359 computations (30.4% saved)

series96.0ms (3.9%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

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

Compiler

Compiled 248 to 209 computations (15.7% saved)

simplify106.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4899	492
1	4899	492

prune29.0ms (1.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	54	3	57

Error

0.0b

Counts

57 → 3

Compiler

Compiled 483 to 314 computations (35% saved)

regimes75.0ms (3%)

Accuracy

Total 0.4b remaining (91.5%)

Threshold costs 0.4b (91.5%)

Compiler

Compiled 558 to 470 computations (15.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	19
1	16	19

end0.0ms (0%)

sample1.3s (53.9%)

Algorithm

1×

intervals

Results

493.0ms	4068×	body	1024	valid
131.0ms	2028×	body	512	valid
100.0ms	8000×	pre	128	true
53.0ms	407×	body	2048	valid
36.0ms	936×	body	256	valid
15.0ms	561×	body	128	valid

Compiler

Compiled 161 to 134 computations (16.8% saved)

Details

analyze98.0ms (4%)

sample36.0ms (1.5%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite20.0ms (0.8%)

series25.0ms (1%)

simplify74.0ms (3%)

prune17.0ms (0.7%)

localize6.0ms (0.3%)

rewrite96.0ms (3.9%)

series233.0ms (9.4%)

simplify90.0ms (3.6%)

prune77.0ms (3.1%)

localize5.0ms (0.2%)

rewrite45.0ms (1.8%)

series96.0ms (3.9%)

simplify106.0ms (4.3%)

prune29.0ms (1.2%)

regimes75.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (53.9%)

Profiling