Details

Time bar (total: 3.5s)

sample307.0ms

Algorithm
intervals
Results
20.0ms256×body80valid
13.0ms273×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 3 expressions with local error:

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

rewrite28.0ms

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:
10.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
12.0ms
(/ (- 1.0 x) (+ 1.0 x))
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

series145.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
35.0ms
(/ (- 1.0 x) (+ 1.0 x))
18.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

simplify38.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0354753
11071709
25001690

prune218.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
81×*-un-lft-identity
63×add-sqr-sqrt
56×times-frac
55×cbrt-prod
41×add-cube-cbrt
36×sqrt-prod
11×distribute-lft-out-- difference-of-squares
9×distribute-lft-out
8×cbrt-div associate-/l*
7×associate-/r*
6×add-exp-log
5×add-cbrt-cube
4×pow1 flip3-- flip-- add-log-exp
3×pow1/3
2×sqrt-div associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
4 → 132
Calls
4 calls:
12.0ms
(/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))
2.0ms
(cbrt (- 1.0 x))
2.0ms
(cbrt (- 1.0 x))
2.0ms
(cbrt (- 1.0 x))

series507.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))
90.0ms
(cbrt (- 1.0 x))
87.0ms
(cbrt (- 1.0 x))
91.0ms
(cbrt (- 1.0 x))

simplify49.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04671424
114171369
250021314

prune494.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 x) (+ x 1.0))
0.0b
(atan (sqrt (/ (- 1.0 x) (+ x 1.0))))
0.0b
(cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3))
1.0b
(pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
31×add-sqr-sqrt
21×add-cube-cbrt
20×times-frac
12×cbrt-prod
7×add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod distribute-lft-out
5×pow1 associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r* add-log-exp
3×pow-unpow
2×cube-mult unpow3 associate-/r/ associate-/l/ sqr-pow
1×cbrt-undiv pow-to-exp flip3-- pow-pow frac-2neg flip3-+ pow1/3 div-sub div-exp pow-exp clear-num flip-- rem-cbrt-cube flip-+ div-inv rem-cube-cbrt
Counts
4 → 97
Calls
4 calls:
10.0ms
(/ (- 1.0 x) (+ x 1.0))
0.0ms
(atan (sqrt (/ (- 1.0 x) (+ x 1.0))))
1.0ms
(cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3))
1.0ms
(pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)

series76.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ (- 1.0 x) (+ x 1.0))
2.0ms
(atan (sqrt (/ (- 1.0 x) (+ x 1.0))))
2.0ms
(cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3))
35.0ms
(pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)

simplify41.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0306810
11133765
25001755

prune224.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes86.0ms

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
0116
1116

end0.0ms

sample1.2s

Algorithm
intervals
Results
563.0ms8000×body80valid
389.0ms8176×body80nan