Details

Time bar (total: 1.4s)

sample16.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
4.0ms275×body80nan

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
073
1113
2133
3133

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
1×add-exp-log expm1-log1p-u rem-sqrt-square flip3-- sqrt-pow1 pow1/2 add-cbrt-cube flip-- log1p-expm1-u add-log-exp difference-of-squares
Counts
1 → 18
Calls
1 calls:
3.0ms
(sqrt (- 1.0 (* x x)))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(sqrt (- 1.0 (* x x)))

simplify82.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0165131
1568128
22782126
35001123

prune48.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 1/2 (/ (pow x 2) (sqrt 1.0)))
0.0b
(+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
56×times-frac
54×add-sqr-sqrt
52×associate-*r*
32×add-cube-cbrt *-un-lft-identity
28×sqrt-prod
20×unpow-prod-down
12×add-exp-log
9×unswap-sqr
8×unpow2 sqr-pow
7×add-cbrt-cube
4×pow1 prod-exp add-log-exp
3×associate-*r/ div-exp associate-*l*
2×expm1-log1p-u cbrt-unprod log1p-expm1-u
1×cbrt-undiv +-commutative pow-to-exp fma-def flip3-+ pow-prod-down frac-add pow-exp sum-log *-commutative flip-+ div-inv
Counts
2 → 97
Calls
2 calls:
15.0ms
(* 1/2 (/ (pow x 2) (sqrt 1.0)))
15.0ms
(+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))

series356.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(* 1/2 (/ (pow x 2) (sqrt 1.0)))
284.0ms
(+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))

simplify65.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0476745
12317663
25001662

prune256.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes42.0ms

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
053

end0.0ms

sample407.0ms

Algorithm
intervals
Results
129.0ms8000×body80valid
118.0ms8017×body80nan