Details

analyze5.0ms (0.2%)

Algorithm

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)

sample20.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify389.0ms (13.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (286.0ms)

Iter	Nodes	Cost
0	7544	20

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

0.3b

Counts

2 → 1

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 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))
0.2b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

rewrite204.0ms (7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`*-un-lft-identity_binary64_760`
50×	`times-frac_binary64_766`
43×	`add-sqr-sqrt_binary64_782`
31×	`add-cube-cbrt_binary64_795` `sqrt-prod_binary64_776`
16×	`distribute-lft-out_binary64_711`
15×	`log-prod_binary64_846`
13×	`div-inv_binary64_757`
10×	`difference-of-squares_binary64_729`
8×	`associate-/l*_binary64_705`
7×	`add-exp-log_binary64_798`
6×	`pow1_binary64_821` `distribute-rgt-out_binary64_713` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
4×	`sqrt-div_binary64_777`
3×	`log-div_binary64_847` `associate-/r*_binary64_704`
2×	`frac-add_binary64_768` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-rgt1-in_binary64_716` `flip3--_binary64_764` `flip--_binary64_735` `associate-/l/_binary64_707`
1×	`log-pow_binary64_849` `rem-log-exp_binary64_801` `sum-log_binary64_851` `+-commutative_binary64_690` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759`

Counts

4 → 117

Calls

4 calls:

27.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
23.0ms	(log.f64 (+.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 2629 to 1663 computations (36.7% saved)

series168.0ms (5.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

57.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
34.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
31.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
22.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 699 to 601 computations (14% saved)

simplify86.0ms (3%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5069	2713

prune144.0ms (4.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	140	2	142

Error

Counts

142 → 2

Compiler

Compiled 2619 to 1690 computations (35.5% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))
0.2b	(+.f64 (neg.f64 (log.f64 (sqrt.f64 x))) (log.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))))
0.3b	(/.f64 1 (sqrt.f64 x))
0.3b	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x))

rewrite430.0ms (14.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

148×	`*-un-lft-identity_binary64_760`
134×	`times-frac_binary64_766`
127×	`sqrt-prod_binary64_776`
109×	`add-sqr-sqrt_binary64_782`
70×	`add-cube-cbrt_binary64_795`
42×	`distribute-lft-out_binary64_711`
32×	`log-prod_binary64_846`
26×	`associate-+r+_binary64_692`
16×	`div-inv_binary64_757`
14×	`difference-of-squares_binary64_729`
12×	`associate-/r*_binary64_704`
11×	`pow1_binary64_821` `associate-/l*_binary64_705`
10×	`add-exp-log_binary64_798`
8×	`add-cbrt-cube_binary64_796` `distribute-rgt-out_binary64_713`
7×	`add-log-exp_binary64_799`
6×	`distribute-neg-in_binary64_721` `associate-+l+_binary64_693`
5×	`log-pow_binary64_849`
4×	`distribute-rgt-neg-in_binary64_718`
3×	`div-exp_binary64_811` `pow-flip_binary64_834` `sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `log-div_binary64_847` `associate-+r-_binary64_694`
2×	`cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `sqrt-div_binary64_777` `associate-/l/_binary64_707` `frac-add_binary64_768` `distribute-rgt1-in_binary64_716` `+-commutative_binary64_690`
1×	`sqrt-undiv_binary64_781` `flip3--_binary64_764` `flip--_binary64_735` `inv-pow_binary64_845` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `1-exp_binary64_804` `rec-exp_binary64_810` `neg-log_binary64_853` `neg-sub0_binary64_755` `associate-+l-_binary64_695`

Counts

4 → 211

Calls

4 calls:

67.0ms	(+.f64 (neg.f64 (log.f64 (sqrt.f64 x))) (log.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))))
57.0ms	(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))
8.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x))
4.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 6294 to 3110 computations (50.6% saved)

series122.0ms (4.2%)

Error

Counts

4 → 12

Calls

4 calls:

53.0ms	(+.f64 (neg.f64 (log.f64 (sqrt.f64 x))) (log.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))))
23.0ms	(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))
22.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x))
14.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 570 to 425 computations (25.4% saved)

simplify111.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4940	4517
1	4940	4517

prune265.0ms (9.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	223	2	225

Error

Counts

225 → 2

Compiler

Compiled 5768 to 2805 computations (51.4% saved)

regimes90.0ms (3.1%)

Accuracy

Total 0.2b remaining (99.6%)

Threshold costs 0.2b (99.6%)

Compiler

Compiled 721 to 556 computations (22.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	34
1	33	34

end0.0ms (0%)

sample864.0ms (29.5%)

Algorithm

1×

intervals

Results

413.0ms	8000×	body	128	valid
0.0ms	3×	body	128	nan

Compiler

Compiled 258 to 199 computations (22.9% saved)

Details

analyze5.0ms (0.2%)

sample20.0ms (0.7%)

simplify389.0ms (13.3%)

prune2.0ms (0.1%)

localize9.0ms (0.3%)

rewrite204.0ms (7%)

series168.0ms (5.7%)

simplify86.0ms (3%)

prune144.0ms (4.9%)

localize14.0ms (0.5%)

rewrite430.0ms (14.7%)

series122.0ms (4.2%)

simplify111.0ms (3.8%)

prune265.0ms (9.1%)

regimes90.0ms (3.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample864.0ms (29.5%)

Profiling