Details

Time bar (total: 2.7s)

sample287.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
8.0ms246×body80nan

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0166
1196
2216
3216

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
0.0b
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b
(/ (- 1.0 x) (+ 1.0 x))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
45×add-sqr-sqrt
41×times-frac
26×sqrt-prod
24×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
5×add-exp-log add-cbrt-cube associate-/l*
4×pow1 associate-/r* associate-/r/
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×cbrt-undiv flip3-- frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub div-exp clear-num flip--
Counts
3 → 97
Calls
3 calls:
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
26.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
24.0ms
(/ (- 1.0 x) (+ 1.0 x))

series126.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
85.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
38.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify42.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0370779
11128734
25001719

prune241.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ (- 1.0 x) (+ x 1.0)))
0.0b
(cbrt (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3))
0.0b
(/ (- 1.0 x) (+ x 1.0))
0.0b
(pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
183×*-un-lft-identity
130×sqrt-prod
124×add-sqr-sqrt
121×times-frac
71×add-cube-cbrt
64×cbrt-prod
58×unpow-prod-down cube-prod
31×distribute-lft-out
25×distribute-lft-out-- difference-of-squares
12×associate-/r/
7×pow1 add-exp-log add-cbrt-cube
6×flip3-+ flip-+ div-inv
5×associate-/l*
4×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp
3×pow-unpow pow-pow sqrt-div
2×cube-div cube-mult rem-sqrt-square sqrt-pow1 pow1/2 unpow3 associate-/l/ sqr-pow
1×cbrt-undiv pow-to-exp cbrt-div flip3-- frac-2neg pow1/3 div-sub div-exp pow-exp clear-num sqrt-pow2 flip-- rem-cbrt-cube rem-cube-cbrt
Counts
4 → 245
Calls
4 calls:
18.0ms
(sqrt (/ (- 1.0 x) (+ x 1.0)))
21.0ms
(cbrt (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3))
22.0ms
(/ (- 1.0 x) (+ x 1.0))
23.0ms
(pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)

series369.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(sqrt (/ (- 1.0 x) (+ x 1.0)))
84.0ms
(cbrt (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3))
29.0ms
(/ (- 1.0 x) (+ x 1.0))
173.0ms
(pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)

simplify83.0ms

Algorithm
egg-herbie
Counts
257 → 257
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
07232268
124802125
250012091

prune492.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b
(atan (fma 1.0 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (fma 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)) (* 1.0 (/ x (sqrt 1.0)))))))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
Counts
1 → 9
Calls
1 calls:
1.0ms
(atan (fma 1.0 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (fma 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)) (* 1.0 (/ x (sqrt 1.0)))))))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(atan (fma 1.0 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (fma 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)) (* 1.0 (/ x (sqrt 1.0)))))))

simplify54.0ms

Algorithm
egg-herbie
Counts
12 → 12
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
045237
1103206
2367206
31571206
45001206

prune42.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

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
0148
1148

end0.0ms

sample756.0ms

Algorithm
intervals
Results
309.0ms8000×body80valid
201.0ms7939×body80nan