Details

Time bar (total: 2.0s)

sample286.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
6.0ms244×body80nan

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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 2 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
44×add-sqr-sqrt
41×times-frac
26×sqrt-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×add-exp-log associate-/r* associate-/r/ add-cbrt-cube
3×pow1
2×expm1-log1p-u rem-sqrt-square flip3-+ flip-+ log1p-expm1-u div-inv associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub div-exp clear-num flip--
Counts
2 → 88
Calls
2 calls:
32.0ms
(/ (- 1.0 x) (+ 1.0 x))
19.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))

series127.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (- 1.0 x) (+ 1.0 x))
96.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))

simplify41.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0353692
11094658
25001643

prune202.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
85×sqrt-prod
77×*-un-lft-identity
61×add-sqr-sqrt
56×times-frac
39×add-cube-cbrt
10×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
8×sqrt-div associate-/l*
7×associate-/r*
5×pow1 add-exp-log add-cbrt-cube
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv sqrt-undiv frac-2neg div-exp clear-num hypot-def div-inv
Counts
3 → 128
Calls
3 calls:
10.0ms
(sqrt (- 1.0 x))
23.0ms
(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))
11.0ms
(sqrt (+ 1.0 x))

series151.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(sqrt (- 1.0 x))
88.0ms
(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))
34.0ms
(sqrt (+ 1.0 x))

simplify44.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03551192
111261132
250011070

prune295.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0138
1138

end0.0ms

sample752.0ms

Algorithm
intervals
Results
308.0ms8000×body80valid
196.0ms8107×body80nan