Details

Time bar (total: 5.2s)

sample52.0ms

Algorithm
intervals
Results
23.0ms789×body80nan
9.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2167

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 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))
0.0b
(/ (sqrt (- 1.0 (* x x))) x)

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
33×times-frac
32×add-sqr-sqrt
26×add-cube-cbrt
20×sqrt-prod
8×log-prod distribute-lft-out
7×add-exp-log associate-/l*
6×pow1 add-cbrt-cube add-log-exp
5×div-inv difference-of-squares
4×sqrt-div
3×log-div associate-/r*
2×distribute-rgt-out flip3-- flip3-+ frac-add flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp rem-log-exp clear-num sum-log log-pow
Counts
4 → 98
Calls
4 calls:
5.0ms
(sqrt (- 1.0 (* x x)))
35.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
37.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
16.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series575.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(sqrt (- 1.0 (* 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))
126.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify50.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05121016
11814965
25002961

prune281.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.5b
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.5b
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.5b
(* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

rewrite379.0ms

Algorithm
rewrite-expression-head
Rules
91×*-un-lft-identity
64×cbrt-prod
42×times-frac
37×add-sqr-sqrt
33×cbrt-div
30×distribute-lft-out
29×add-cube-cbrt
14×div-inv
13×swap-sqr
11×pow1 flip3-+ associate-*r* associate-*l* frac-add flip-+
9×frac-times pow1/3
7×distribute-rgt-out
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r/ associate-*l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 129
Calls
4 calls:
32.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
33.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
32.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
274.0ms
(* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

series1.7s

Counts
4 → 12
Calls
4 calls:
369.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
367.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
367.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
547.0ms
(* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

simplify88.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05882613
123622496
250012354

prune469.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes50.0ms

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
0107
1107

end0.0ms

sample1.5s

Algorithm
intervals
Results
700.0ms24267×body80nan
287.0ms8000×body80valid