Details

Time bar (total: 3.2s)

sample277.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
8.0ms246×body80nan

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1196
2216
3216

prune4.0ms

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))

rewrite53.0ms

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×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 → 91
Calls
3 calls:
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
24.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
23.0ms
(/ (- 1.0 x) (+ 1.0 x))

series125.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
84.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
37.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify39.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0354753
11071709
25001690

prune216.0ms

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)

rewrite94.0ms

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×associate-/r* 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 → 237
Calls
4 calls:
16.0ms
(sqrt (/ (- 1.0 x) (+ x 1.0)))
24.0ms
(cbrt (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3))
20.0ms
(/ (- 1.0 x) (+ x 1.0))
21.0ms
(pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)

series368.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(sqrt (/ (- 1.0 x) (+ x 1.0)))
81.0ms
(cbrt (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3))
32.0ms
(/ (- 1.0 x) (+ x 1.0))
173.0ms
(pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)

simplify74.0ms

Algorithm
egg-herbie
Counts
249 → 249
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
07022237
123892095
250012063

prune441.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
168×times-frac
148×associate-*r*
138×add-sqr-sqrt
116×unpow-prod-down
80×add-cube-cbrt *-un-lft-identity
56×cube-prod sqrt-prod
36×sqr-pow
25×add-exp-log unswap-sqr
24×unpow2
10×prod-exp
9×div-exp
8×cube-mult unpow3
7×add-cbrt-cube
6×pow-to-exp pow-exp
4×pow1
3×associate-*l*
2×cbrt-unprod add-log-exp
1×cbrt-undiv associate-*r/ pow-prod-down *-commutative div-inv
Counts
2 → 205
Calls
2 calls:
8.0ms
(atan (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))))
63.0ms
(* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))

series138.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(atan (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))))
114.0ms
(* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))

simplify83.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06891595
134371270
250021270

prune412.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

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

sample755.0ms

Algorithm
intervals
Results
310.0ms8000×body80valid
201.0ms7939×body80nan