Details

Time bar (total: 3.8s)

sample277.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
8.0ms273×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))

rewrite29.0ms

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:
0.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
10.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
14.0ms
(/ (- 1.0 x) (+ 1.0 x))

series148.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
94.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
51.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify41.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0370779
11128734
25001719

prune233.0ms

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
58×*-un-lft-identity
41×times-frac
38×add-cube-cbrt
26×associate-*l*
21×difference-of-squares
18×prod-diff
11×add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
10×distribute-lft-out--
9×pow1
7×flip3-- flip--
5×sqrt-div associate-*r* associate-/l*
4×expm1-log1p-u frac-times associate-*r/ associate-/r* associate-/r/ log1p-expm1-u add-log-exp
2×cbrt-undiv sub-neg sqrt-pow1 div-exp pow-prod-down associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×frac-2neg pow1/2 div-sub clear-num sqrt-prod *-commutative
Counts
4 → 150
Calls
4 calls:
0.0ms
(atan (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))))
16.0ms
(sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x)))
12.0ms
(/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))
36.0ms
(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

series159.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(atan (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))))
71.0ms
(sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x)))
36.0ms
(/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))
49.0ms
(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

simplify99.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
06841774
133921505
250021435

prune379.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))))
0.0b
(cbrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))))
0.0b
(cbrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))))
0.0b
(* (cbrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (cbrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
210×cbrt-prod
162×add-sqr-sqrt *-un-lft-identity times-frac
82×add-cube-cbrt
67×difference-of-squares
37×swap-sqr
36×distribute-lft-out--
29×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 238
Calls
4 calls:
5.0ms
(cbrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))))
5.0ms
(cbrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))))
5.0ms
(cbrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))))
63.0ms
(* (cbrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (cbrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))))

series539.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(cbrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))))
129.0ms
(cbrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))))
133.0ms
(cbrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))))
142.0ms
(* (cbrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (cbrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))))

simplify90.0ms

Algorithm
egg-herbie
Counts
250 → 250
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05843876
121933656
250013521

prune888.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

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
01410
11410

end0.0ms

sample702.0ms

Algorithm
intervals
Results
307.0ms8000×body80valid
201.0ms8122×body80nan