Details

Time bar (total: 2.5s)

sample40.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
12.0ms270×body80nan

simplify659.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02111
12111

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

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))

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:
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
7.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
10.0ms
(/ (- 1.0 x) (+ 1.0 x))

series18.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
5.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
10.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify66.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
051241252

prune161.0ms

Filtered
68 candidates to 100 candidates (-47.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New991100
Fresh000
Picked011
Done000
Total992101

Merged error: 0b

Counts
101 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (+ 1.0 x))
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))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
32×cbrt-prod
28×add-sqr-sqrt cbrt-div
16×add-cube-cbrt
14×flip3-+ flip-+
11×pow1 add-exp-log
9×swap-sqr
8×frac-times pow1/3 associate-/r/ distribute-lft-out
7×associate-*r* associate-*l* add-cbrt-cube
5×times-frac associate-/l*
4×associate-*r/ associate-*l/ add-log-exp unswap-sqr
2×cbrt-undiv div-exp pow-prod-down prod-exp pow-sqr pow-prod-up cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×pow2 flip3-- frac-2neg pow-plus div-sub clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 117
Calls
4 calls:
3.0ms
(cbrt (+ 1.0 x))
3.0ms
(cbrt (+ 1.0 x))
10.0ms
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))
14.0ms
(/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))

series31.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (+ 1.0 x))
6.0ms
(cbrt (+ 1.0 x))
7.0ms
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))
11.0ms
(/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))

simplify78.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
048921508
148921508

prune268.0ms

Filtered
87 candidates to 129 candidates (-48.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1290129
Fresh000
Picked011
Done011
Total1292131

Merged error: 0b

Counts
131 → 2

regimes131.0ms

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
01111
11111

end0.0ms

sample943.0ms

Algorithm
intervals
Results
397.0ms8000×body80valid
288.0ms7946×body80nan

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