Details

analyze5.0ms

Algorithm

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

sample18.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify258.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (255.0ms)

Iter	Nodes	Cost
0	6970	13

prune2.0ms

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

Merged error: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity_binary64`
50×	`times-frac_binary64`
43×	`add-sqr-sqrt_binary64`
31×	`add-cube-cbrt_binary64` `sqrt-prod_binary64`
16×	`distribute-lft-out_binary64`
15×	`log-prod_binary64`
13×	`div-inv_binary64`
10×	`difference-of-squares_binary64`
8×	`associate-/l*_binary64`
7×	`add-exp-log_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `distribute-rgt-out_binary64` `add-cbrt-cube_binary64`
4×	`sqrt-div_binary64`
3×	`associate-/r*_binary64` `log-div_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `frac-add_binary64` `distribute-rgt1-in_binary64` `flip--_binary64` `flip-+_binary64`
1×	`pow1/2_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `log-pow_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 117

Calls

4 calls:

6.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
22.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
27.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
3.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

series39.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
13.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
7.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
6.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

simplify62.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5125	1760

prune121.0ms

Filtered

94 candidates to 129 candidates (-37.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	128	2	130

Merged error: 0b

Counts

130 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.5b	(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.5b	(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.5b	(.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

166×	`*-un-lft-identity_binary64`
125×	`cbrt-prod_binary64`
91×	`times-frac_binary64`
72×	`add-sqr-sqrt_binary64`
64×	`distribute-lft-out_binary64`
52×	`div-inv_binary64`
43×	`add-cube-cbrt_binary64`
33×	`cbrt-div_binary64`
26×	`swap-sqr_binary64`
25×	`distribute-rgt-out_binary64`
21×	`sqrt-prod_binary64`
18×	`associate-r_binary64` `associate-l_binary64`
11×	`flip3-+_binary64` `pow1_binary64` `frac-add_binary64` `flip-+_binary64`
9×	`pow1/3_binary64` `frac-times_binary64`
7×	`distribute-rgt1-in_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
3×	`associate-r/_binary64` `associate-l/_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 177

Calls

4 calls:

24.0ms	(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
21.0ms	(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
22.0ms	(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
57.0ms	(.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))

series78.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
18.0ms	(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
17.0ms	(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
22.0ms	(.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))

simplify84.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4973	3984
1	4973	3984

prune258.0ms

Filtered

114 candidates to 189 candidates (-65.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	189	2	191

Merged error: 0b

Counts

191 → 2

regimes77.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	13
1	28	13

end0.0ms

sample493.0ms

Algorithm

intervals

Results

397.0ms	8000×	body	80	valid
0.0ms	2×	body	80	nan

Details

analyze5.0ms

sample18.0ms

simplify258.0ms

prune2.0ms

localize9.0ms

rewrite64.0ms

series39.0ms

simplify62.0ms

prune121.0ms

localize17.0ms

rewrite135.0ms

series78.0ms

simplify84.0ms

prune258.0ms

regimes77.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample493.0ms

Profiling