Details

analyze396.0ms (16.8%)

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 (0.9%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify299.0ms (12.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (293.0ms)

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 1 expressions with local error:

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

rewrite53.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`*-un-lft-identity_binary64_760`
13×	`times-frac_binary64_766`
8×	`add-sqr-sqrt_binary64_782` `distribute-lft-out_binary64_711`
6×	`div-inv_binary64_757`
5×	`add-cube-cbrt_binary64_795`
3×	`add-log-exp_binary64_799` `distribute-rgt-out_binary64_713` `sqrt-prod_binary64_776`
1×	`sum-log_binary64_851` `pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `frac-add_binary64_768` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-rgt1-in_binary64_716` `+-commutative_binary64_690`

Counts

1 → 24

Calls

1 calls:

22.0ms

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

Compiler

Compiled 521 to 335 computations (35.7% saved)

series42.0ms (1.8%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

36.0ms

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

Compiler

Compiled 134 to 121 computations (9.7% saved)

simplify72.0ms (3%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5034	528

prune28.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Error

Counts

31 → 2

Compiler

Compiled 497 to 333 computations (33% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
0.0b	(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
0.0b	(exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
0.7b	(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))

rewrite185.0ms (7.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`*-un-lft-identity_binary64_760`
45×	`times-frac_binary64_766`
44×	`add-sqr-sqrt_binary64_782`
38×	`exp-prod_binary64_812`
33×	`add-cube-cbrt_binary64_795`
22×	`distribute-lft-out_binary64_711`
20×	`log-pow_binary64_849`
11×	`sqrt-prod_binary64_776`
7×	`add-log-exp_binary64_799`
6×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
5×	`pow1_binary64_821` `associate-/l*_binary64_705`
3×	`div-inv_binary64_757` `log-prod_binary64_846` `associate-/r*_binary64_704`
2×	`flip3-+_binary64_763` `associate-/l/_binary64_707` `flip-+_binary64_734`
1×	`rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

4 → 108

Calls

4 calls:

12.0ms	(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
10.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
9.0ms	(exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
6.0ms	(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))

Compiler

Compiled 2562 to 1751 computations (31.7% saved)

series150.0ms (6.4%)

Error

Counts

4 → 18

Calls

4 calls:

56.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
34.0ms	(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
24.0ms	(exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
23.0ms	(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))

Compiler

Compiled 509 to 468 computations (8.1% saved)

simplify76.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5126	2250

prune141.0ms (6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	126	2	128

Error

Counts

128 → 2

Compiler

Compiled 2478 to 1681 computations (32.2% saved)

regimes62.0ms (2.6%)

Accuracy

Total 0.0b remaining (11.9%)

Threshold costs 0.0b (11.9%)

Compiler

Compiled 388 to 307 computations (20.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	17
1	28	17

end0.0ms (0%)

sample808.0ms (34.3%)

Algorithm

1×

intervals

Results

437.0ms	8000×	body	128	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 137 to 110 computations (19.7% saved)

Details

analyze396.0ms (16.8%)

sample21.0ms (0.9%)

simplify299.0ms (12.7%)

prune3.0ms (0.1%)

localize9.0ms (0.4%)

rewrite53.0ms (2.3%)

series42.0ms (1.8%)

simplify72.0ms (3%)

prune28.0ms (1.2%)

localize9.0ms (0.4%)

rewrite185.0ms (7.8%)

series150.0ms (6.4%)

simplify76.0ms (3.2%)

prune141.0ms (6%)

regimes62.0ms (2.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample808.0ms (34.3%)

Profiling