Details

Time bar (total: 3.6s)

sample316.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
10.0ms251×body80nan

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0166
1196
2216
3216

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

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))

rewrite46.0ms

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:
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
30.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
10.0ms
(/ (- 1.0 x) (+ 1.0 x))

series143.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
96.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
43.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify40.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0354753
11071709
25001688

prune198.0ms

Filtered
100 candidates to 70 candidates (70.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New982100
Fresh000
Picked011
Done000
Total983101

Merged error: 0b

Counts
101 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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:
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ x 1.0))))
8.0ms
(/ (- 1.0 x) (+ x 1.0))
2.0ms
(cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3))
4.0ms
(pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)

series75.0ms

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

simplify42.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0306810
11133765
25002753

prune189.0ms

Filtered
109 candidates to 63 candidates (57.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh011
Picked011
Done011
Total1093112

Merged error: 0b

Counts
112 → 3

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

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
172×add-sqr-sqrt
168×*-un-lft-identity
148×times-frac
109×cbrt-prod
91×sqrt-prod
84×add-cube-cbrt
70×associate-*r*
34×add-exp-log
26×cbrt-div
22×add-cbrt-cube
21×associate-*l* distribute-lft-out--
20×distribute-lft-out
19×difference-of-squares unswap-sqr
14×associate-/r*
13×pow1 flip3-- flip--
10×cbrt-undiv swap-sqr div-exp prod-exp cbrt-unprod associate-/l/
9×frac-times associate-/l*
8×sqrt-div associate-/r/
6×pow1/3
5×associate-*r/ associate-*l/
4×flip3-+ flip-+ div-inv add-log-exp
3×pow-prod-down
2×frac-2neg clear-num pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 296
Calls
4 calls:
10.0ms
(/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))
15.0ms
(/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))
11.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
41.0ms
(* (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))))

series620.0ms

Counts
4 → 12
Calls
4 calls:
229.0ms
(/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))
249.0ms
(/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))
108.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
33.0ms
(* (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))))

simplify69.0ms

Algorithm
egg-herbie
Counts
308 → 308
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
010874014
150023699

prune721.0ms

Filtered
308 candidates to 187 candidates (60.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3080308
Fresh000
Picked011
Done022
Total3083311

Merged error: 0b

Counts
311 → 3

regimes84.0ms

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
0148
1148

end0.0ms

sample851.0ms

Algorithm
intervals
Results
378.0ms8000×body80valid
266.0ms8152×body80nan

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