Details

Time bar (total: 2.4s)

sample285.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
6.0ms258×body80nan

simplify11.0ms

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

rewrite23.0ms

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:
8.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
10.0ms
(/ (- 1.0 x) (+ 1.0 x))

series146.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
3.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
52.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify41.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0354753
11071709
25001690

prune220.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
85×sqrt-prod
78×*-un-lft-identity
60×add-sqr-sqrt
56×times-frac
40×add-cube-cbrt
10×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
8×sqrt-div associate-/l*
7×associate-/r*
6×pow1 add-exp-log add-cbrt-cube
4×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 div-inv
Counts
4 → 128
Calls
4 calls:
3.0ms
(sqrt (+ 1.0 x))
1.0ms
(atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))
3.0ms
(sqrt (- 1.0 x))
10.0ms
(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))

series156.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(sqrt (+ 1.0 x))
2.0ms
(atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))
31.0ms
(sqrt (- 1.0 x))
90.0ms
(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))

simplify44.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03551269
110861195
250011132

prune295.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
28×times-frac
20×add-sqr-sqrt add-cube-cbrt sqrt-prod
8×distribute-lft-out
7×associate-/l*
5×difference-of-squares
4×add-exp-log associate-/r* add-cbrt-cube
2×pow1 sqrt-div associate-/r/ associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv
Counts
2 → 62
Calls
2 calls:
1.0ms
(atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))))
8.0ms
(/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))

series90.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))))
86.0ms
(/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))

simplify172.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0280741
1901697
23982686
35001686

prune158.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

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
0149
1149

end0.0ms

sample691.0ms

Algorithm
intervals
Results
305.0ms8000×body80valid
196.0ms7870×body80nan