Details

Time bar (total: 1.9s)

sample15.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
3.0ms242×body80nan

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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)))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(sqrt (- 1.0 (* x x)))

simplify84.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0165131
1568128
22782126
35001123

prune50.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

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

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
182×associate-*r*
175×add-sqr-sqrt
128×unpow-prod-down
106×add-cube-cbrt *-un-lft-identity
76×sqrt-prod
48×cube-prod
42×sqr-pow
36×add-exp-log
28×unswap-sqr
14×prod-exp
13×add-cbrt-cube
12×div-exp
8×unpow2
7×pow1 cube-mult pow-to-exp unpow3 pow-exp
6×associate-*l*
5×add-log-exp
4×associate-*r/ cbrt-unprod
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv pow-prod-down *-commutative div-inv
1×+-commutative fma-def flip3-+ frac-add sum-log flip-+
Counts
3 → 273
Calls
3 calls:
16.0ms
(* 1/2 (/ (pow x 2) (sqrt 1.0)))
36.0ms
(* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))
15.0ms
(+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))

series475.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(* 1/2 (/ (pow x 2) (sqrt 1.0)))
131.0ms
(* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))
281.0ms
(+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))

simplify53.0ms

Algorithm
egg-herbie
Counts
282 → 282
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
010241989
150011720

prune567.0ms

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

sample397.0ms

Algorithm
intervals
Results
132.0ms8000×body80valid
107.0ms7905×body80nan