Details

Time bar (total: 3.9s)

sample287.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
8.0ms270×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))

rewrite33.0ms

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))))
12.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
15.0ms
(/ (- 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)))
50.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify42.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0370779
11128734
25001719

prune249.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(atan (sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))))
0.0b
(sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x)))))
0.0b
(expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))
0.0b
(/ (- 1.0 x) (+ 1.0 x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
27×add-sqr-sqrt
20×times-frac
16×add-cube-cbrt
6×add-exp-log add-cbrt-cube distribute-lft-out
5×pow1 associate-/l* distribute-lft-out-- difference-of-squares
4×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp
3×sqrt-prod
2×associate-/r/ associate-/l/
1×cbrt-undiv rem-sqrt-square expm1-log1p flip3-- frac-2neg sqrt-pow1 flip3-+ pow1/2 div-sub div-exp clear-num flip-- flip-+ div-inv expm1-udef
Counts
4 → 83
Calls
4 calls:
1.0ms
(atan (sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))))
1.0ms
(sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x)))))
0.0ms
(expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))
13.0ms
(/ (- 1.0 x) (+ 1.0 x))

series454.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(atan (sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))))
244.0ms
(sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x)))))
166.0ms
(expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))
37.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify52.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0549829
11860779
25001763

prune290.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (+ 1.0 x))
0.0b
(* (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))))
0.0b
(/ (- 1.0 x) (cbrt (+ 1.0 x)))
0.0b
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
124×*-un-lft-identity
112×add-sqr-sqrt
85×times-frac
75×cbrt-prod
53×add-exp-log add-cube-cbrt
48×associate-*r*
30×cbrt-div
22×associate-*l*
21×prod-exp
19×add-cbrt-cube
18×distribute-lft-out
16×div-exp
15×flip3-+ flip-+ distribute-lft-out-- difference-of-squares
13×pow1 unswap-sqr
12×associate-/r/
9×frac-times swap-sqr cbrt-unprod
8×cbrt-undiv
7×pow1/3 associate-/r*
5×associate-*r/ associate-*l/ associate-/l*
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow-prod-down div-inv
2×pow-sqr *-commutative pow-prod-up associate-/l/
1×pow2 flip3-- frac-2neg pow-plus div-sub clear-num flip--
Counts
4 → 236
Calls
4 calls:
2.0ms
(cbrt (+ 1.0 x))
95.0ms
(* (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))))
16.0ms
(/ (- 1.0 x) (cbrt (+ 1.0 x)))
21.0ms
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

series386.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(cbrt (+ 1.0 x))
34.0ms
(* (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))))
146.0ms
(/ (- 1.0 x) (cbrt (+ 1.0 x)))
107.0ms
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

simplify134.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
09992546
145532301
250012297

prune839.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

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
0138
1138

end0.0ms

sample701.0ms

Algorithm
intervals
Results
304.0ms8000×body80valid
209.0ms8057×body80nan