Details

Time bar (total: 7.4s)

sample319.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
10.0ms263×body80nan

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1196
2216
3216

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize33.0ms

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))

rewrite27.0ms

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))))
12.0ms
(/ (- 1.0 x) (+ 1.0 x))

series178.0ms

Counts
3 → 9
Calls
3 calls:
122.0ms
(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))

simplify39.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0354753
11071709
25001688

prune564.0ms

Filtered
100 candidates to 70 candidates (30.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New991100
Fresh000
Picked011
Done000
Total992101

Merged error: 0b

Counts
101 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
164×times-frac
139×*-un-lft-identity
124×cbrt-div
100×cbrt-prod
95×add-sqr-sqrt
74×associate-/r/
67×add-cube-cbrt
62×flip3-+ flip-+
40×frac-times
25×distribute-lft-out
22×associate-/l*
20×add-exp-log associate-*r/ associate-*l/
11×pow1 add-cbrt-cube
10×div-inv distribute-lft-out-- difference-of-squares
9×swap-sqr
8×associate-/r*
7×cbrt-undiv pow1/3 div-exp associate-*r* associate-*l*
4×add-log-exp unswap-sqr
3×div-sub prod-exp cbrt-unprod associate-/l/
2×frac-2neg pow-prod-down clear-num pow-sqr pow-prod-up
1×pow2 flip3-- pow-plus *-commutative flip--
Counts
4 → 266
Calls
4 calls:
3.0ms
(cbrt (+ 1.0 x))
13.0ms
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))
13.0ms
(/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))
20.0ms
(/ (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (cbrt (+ 1.0 x)))

series458.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(cbrt (+ 1.0 x))
125.0ms
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))
180.0ms
(/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))
42.0ms
(/ (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (cbrt (+ 1.0 x)))

simplify121.0ms

Algorithm
egg-herbie
Counts
278 → 278
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
09803940
141473759
250033627

prune4.6s

Filtered
278 candidates to 174 candidates (37.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2780278
Fresh000
Picked011
Done011
Total2782280

Merged error: 0b

Counts
280 → 2

regimes133.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01413
11413

end0.0ms

sample889.0ms

Algorithm
intervals
Results
371.0ms8000×body80valid
257.0ms7982×body80nan

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