Details

Time bar (total: 3.3s)

sample313.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
7.0ms217×body80nan

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

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))

rewrite45.0ms

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))))
29.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
10.0ms
(/ (- 1.0 x) (+ 1.0 x))

series139.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
94.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
42.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify40.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0354753
11071709
25001688

prune182.0ms

Filtered
100 candidates to 70 candidates (70.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New982100
Fresh000
Picked101
Done000
Total992101

Merged error: 0b

Counts
101 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
151×*-un-lft-identity
100×times-frac
99×add-sqr-sqrt
58×cbrt-prod
57×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
9×add-exp-log add-cbrt-cube
5×pow1 flip3-+ flip-+ div-inv associate-/l*
4×associate-/r* add-log-exp
3×pow-unpow
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div flip3-- pow-pow frac-2neg pow1/3 div-sub clear-num flip-- rem-cbrt-cube
Counts
4 → 193
Calls
4 calls:
1.0ms
(atan (sqrt (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))))
10.0ms
(/ (- 1.0 x) (+ 1.0 x))
10.0ms
(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))
10.0ms
(pow (/ (- 1.0 x) (+ 1.0 x)) 3)

series127.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(atan (sqrt (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))))
32.0ms
(/ (- 1.0 x) (+ 1.0 x))
36.0ms
(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))
56.0ms
(pow (/ (- 1.0 x) (+ 1.0 x)) 3)

simplify77.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05721553
124721443
250011425

prune265.0ms

Filtered
205 candidates to 95 candidates (46.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2050205
Fresh011
Picked011
Done000
Total2052207

Merged error: 0b

Counts
207 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
0.1b
(* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
306×*-un-lft-identity
238×cbrt-prod
190×times-frac
174×add-sqr-sqrt
86×add-cube-cbrt
53×distribute-lft-out
51×swap-sqr
44×distribute-lft-out--
32×difference-of-squares
29×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 244
Calls
4 calls:
6.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
6.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
7.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
29.0ms
(* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))

series560.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
135.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
132.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
157.0ms
(* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))

simplify69.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04213078
114333004
250022812

prune524.0ms

Filtered
256 candidates to 152 candidates (59.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2560256
Fresh000
Picked011
Done011
Total2562258

Merged error: 0b

Counts
258 → 2

regimes24.0ms

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
0148
1148

end0.0ms

sample809.0ms

Algorithm
intervals
Results
375.0ms8000×body80valid
257.0ms7974×body80nan

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