Details

Time bar (total: 3.9s)

sample49.0ms

Algorithm
intervals
Results
23.0ms824×body80nan
9.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2187
3187

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity
42×times-frac
35×add-sqr-sqrt
31×add-cube-cbrt
16×sqrt-prod
13×fma-def
8×log-prod distribute-lft-out
7×associate-/l*
6×add-exp-log div-inv
5×add-cbrt-cube add-log-exp
4×pow1 difference-of-squares
3×expm1-log1p-u log-div associate-/r* log1p-expm1-u
2×distribute-rgt-out flip3-+ sqrt-div frac-add flip-+ associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp rem-log-exp clear-num sum-log log-pow flip--
Counts
3 → 101
Calls
3 calls:
8.0ms
(/ (sqrt (- 1.0 (* x x))) x)
22.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
25.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series518.0ms

Counts
3 → 9
Calls
3 calls:
130.0ms
(/ (sqrt (- 1.0 (* x x))) x)
284.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
104.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify50.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0479926
11679875
25001867

prune287.0ms

Filtered
110 candidates to 91 candidates (82.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ 1.0 x))
0.5b
(cbrt (/ 1.0 x))
0.5b
(cbrt (/ 1.0 x))
0.5b
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))

rewrite31.0ms

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:
1.0ms
(cbrt (/ 1.0 x))
1.0ms
(cbrt (/ 1.0 x))
1.0ms
(cbrt (/ 1.0 x))
17.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))

series816.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt (/ 1.0 x))
197.0ms
(cbrt (/ 1.0 x))
193.0ms
(cbrt (/ 1.0 x))
229.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))

simplify128.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 3 (116.0ms)

IterNodesCost
02261109
18251069
246761027
350011023

prune530.0ms

Filtered
164 candidates to 130 candidates (79.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113

end0.0ms

sample1.3s

Algorithm
intervals
Results
674.0ms24033×body80nan
280.0ms8000×body80valid