Details

Time bar (total: 3.9s)

sample54.0ms

Algorithm
intervals
Results
27.0ms897×body80nan
9.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2187
3187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.0b
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
21×times-frac
18×add-sqr-sqrt
16×add-cube-cbrt
13×fma-def
8×log-prod distribute-lft-out
5×pow1 div-inv add-log-exp
4×add-exp-log sqrt-prod
3×expm1-log1p-u log-div add-cbrt-cube log1p-expm1-u
2×distribute-rgt-out flip3-+ sqrt-div frac-add flip-+
1×+-commutative rem-sqrt-square flip3-- sqrt-pow1 pow1/2 rem-log-exp sum-log log-pow flip-- difference-of-squares
Counts
3 → 72
Calls
3 calls:
3.0ms
(sqrt (- 1.0 (* x x)))
23.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
26.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series450.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(sqrt (- 1.0 (* x x)))
286.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
101.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify46.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0443652
11562605
25001594

prune234.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
18.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
1.0ms
(cbrt (/ 1.0 x))
1.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))

series836.0ms

Counts
4 → 12
Calls
4 calls:
235.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
200.0ms
(cbrt (/ 1.0 x))
200.0ms
(cbrt (/ 1.0 x))
202.0ms
(cbrt (/ 1.0 x))

simplify135.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 3 (122.0ms)

IterNodesCost
02261109
18171069
246691027
350011023

prune541.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113

end0.0ms

sample1.4s

Algorithm
intervals
Results
737.0ms24455×body80nan
304.0ms8000×body80valid