Details

analyze141.0ms (6.1%)

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)

sample41.0ms (1.8%)

Algorithm

1×

intervals

Results

20.0ms	128×	body	1024	valid
4.0ms	64×	body	512	valid
3.0ms	256×	pre	128	true
2.0ms	13×	body	2048	valid
2.0ms	29×	body	256	valid
0.0ms	22×	body	128	valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify8.0ms (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

58.0b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite23.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

57.9b

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:

4.0ms

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

Compiler

Compiled 185 to 119 computations (35.7% saved)

series33.0ms (1.4%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

23.0ms

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

Compiler

Compiled 104 to 86 computations (17.3% saved)

simplify72.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4922	232
1	4922	232

prune18.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	2	25

Error

0.0b

Counts

25 → 2

Compiler

Compiled 204 to 126 computations (38.2% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
0.0b	(+.f64 1/6 (*.f64 x 1/24))
0.3b	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
0.4b	(*.f64 x 1/24)

rewrite108.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_1123`
10×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
9×	`associate-l_binary64_1042` `associate-r_binary64_1041`
6×	`add-log-exp_binary64_1140`
4×	`associate-*r/_binary64_1043`
3×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032` `flip3-+_binary64_1104` `flip-+_binary64_1075`
2×	`distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
1×	`sum-log_binary64_1192` `+-commutative_binary64_1031`

Counts

4 → 73

Calls

4 calls:

6.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
5.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
4.0ms	(*.f64 x 1/24)
3.0ms	(+.f64 1/6 (*.f64 x 1/24))

Compiler

Compiled 1650 to 1164 computations (29.5% saved)

series215.0ms (9.4%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

78.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
52.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
45.0ms	(+.f64 1/6 (*.f64 x 1/24))
25.0ms	(*.f64 x 1/24)

Compiler

Compiled 734 to 531 computations (27.7% saved)

simplify82.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4884	1083
1	4884	1083

prune98.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	93	2	95

Error

0.0b

Counts

95 → 2

Compiler

Compiled 1782 to 1233 computations (30.8% saved)

regimes88.0ms (3.9%)

Accuracy

Total 0.4b remaining (95.6%)

Threshold costs 0.4b (95.6%)

Compiler

Compiled 649 to 528 computations (18.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	22
1	19	22

end0.0ms (0%)

sample1.4s (58.8%)

Algorithm

1×

intervals

Results

522.0ms	4040×	body	1024	valid
122.0ms	1971×	body	512	valid
84.0ms	8001×	pre	128	true
58.0ms	427×	body	2048	valid
38.0ms	981×	body	256	valid
11.0ms	581×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 197 to 158 computations (19.8% saved)

Details

analyze141.0ms (6.1%)

sample41.0ms (1.8%)

simplify8.0ms (0.3%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite23.0ms (1%)

series33.0ms (1.4%)

simplify72.0ms (3.2%)

prune18.0ms (0.8%)

localize9.0ms (0.4%)

rewrite108.0ms (4.7%)

series215.0ms (9.4%)

simplify82.0ms (3.6%)

prune98.0ms (4.3%)

regimes88.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.4s (58.8%)

Profiling