Details

analyze385.0ms (17.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7544	20
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample21.0ms (1%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify296.0ms (13.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (290.0ms)

Iter	Nodes	Cost
0	7544	20

prune3.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.0b	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

rewrite141.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

45×	`*-un-lft-identity_binary64_1101`
37×	`times-frac_binary64_1107`
34×	`add-sqr-sqrt_binary64_1123`
28×	`sqrt-prod_binary64_1117`
25×	`add-cube-cbrt_binary64_1136`
10×	`difference-of-squares_binary64_1070`
8×	`distribute-lft-out_binary64_1052` `associate-/l*_binary64_1046`
7×	`div-inv_binary64_1098`
5×	`add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
4×	`pow1_binary64_1162` `sqrt-div_binary64_1118`
3×	`distribute-rgt-out_binary64_1054` `associate-/r*_binary64_1045`
2×	`flip3--_binary64_1105` `flip--_binary64_1076` `associate-/l/_binary64_1048`
1×	`sum-log_binary64_1192` `frac-add_binary64_1109` `flip3-+_binary64_1104` `flip-+_binary64_1075` `distribute-rgt1-in_binary64_1057` `+-commutative_binary64_1031` `pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100`

Counts

3 → 90

Calls

3 calls:

23.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
6.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
3.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 2001 to 1256 computations (37.2% saved)

series118.0ms (5.4%)

Error

Counts

3 → 18

Calls

3 calls:

39.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
38.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
26.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 552 to 471 computations (14.7% saved)

simplify58.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4881	1908
1	4881	1908

prune112.0ms (5.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	107	2	109

Error

Counts

109 → 2

Compiler

Compiled 2024 to 1312 computations (35.2% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 2 x) (*.f64 x 1/2))
0.0b	(log.f64 (-.f64 (/.f64 2 x) (*.f64 x 1/2)))

rewrite36.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

4×	`add-log-exp_binary64_1140`
3×	`pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `log-prod_binary64_1187` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-exp-log_binary64_1139`
2×	`flip3--_binary64_1105` `log-div_binary64_1188` `flip--_binary64_1076` `add-cbrt-cube_binary64_1137`
1×	`log-pow_binary64_1190` `rem-log-exp_binary64_1142` `diff-log_binary64_1193` `sub-neg_binary64_1094` `cancel-sign-sub-inv_binary64_1067`

Counts

2 → 26

Calls

2 calls:

6.0ms	(-.f64 (/.f64 2 x) (*.f64 x 1/2))
6.0ms	(log.f64 (-.f64 (/.f64 2 x) (*.f64 x 1/2)))

Compiler

Compiled 452 to 355 computations (21.5% saved)

series85.0ms (3.9%)

Error

Counts

2 → 10

Calls

2 calls:

52.0ms	(-.f64 (/.f64 2 x) (*.f64 x 1/2))
27.0ms	(log.f64 (-.f64 (/.f64 2 x) (*.f64 x 1/2)))

Compiler

Compiled 221 to 196 computations (11.3% saved)

simplify75.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5063	528

prune26.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	36	2	38

Error

Counts

38 → 2

Compiler

Compiled 444 to 338 computations (23.9% saved)

regimes48.0ms (2.2%)

Accuracy

Total 0.0b remaining (2.4%)

Threshold costs 0.0b (2.4%)

Compiler

Compiled 247 to 196 computations (20.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	20
1	30	20

end0.0ms (0%)

sample747.0ms (34.5%)

Algorithm

1×

intervals

Results

431.0ms	8000×	body	128	valid
0.0ms	3×	body	128	nan

Compiler

Compiled 92 to 75 computations (18.5% saved)

Details

analyze385.0ms (17.7%)

sample21.0ms (1%)

simplify296.0ms (13.6%)

prune3.0ms (0.1%)

localize9.0ms (0.4%)

rewrite141.0ms (6.5%)

series118.0ms (5.4%)

simplify58.0ms (2.7%)

prune112.0ms (5.2%)

localize6.0ms (0.3%)

rewrite36.0ms (1.7%)

series85.0ms (3.9%)

simplify75.0ms (3.5%)

prune26.0ms (1.2%)

regimes48.0ms (2.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample747.0ms (34.5%)

Profiling