Details

Time bar (total: 5.2s)

sample294.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
9.0ms260×body80nan

simplify12.0ms

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
(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))))

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:
7.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
9.0ms
(/ (- 1.0 x) (+ 1.0 x))
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

series147.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
50.0ms
(/ (- 1.0 x) (+ 1.0 x))
9.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

simplify41.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0354753
11071709
25001688

prune190.0ms

Filtered
100 candidates to 70 candidates (70.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New973100
Fresh000
Picked101
Done000
Total983101

Merged error: 0b

Counts
101 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
1144×times-frac
1015×*-un-lft-identity
954×sqrt-prod
704×add-sqr-sqrt
461×add-cube-cbrt
164×distribute-lft-out
113×distribute-lft-out-- difference-of-squares
46×associate-/l*
37×sqrt-div
36×associate-/r/
18×flip3-+ flip-+ div-inv
14×associate-/r*
11×add-exp-log add-cbrt-cube
7×rem-sqrt-square
5×pow1
4×cbrt-undiv div-exp add-log-exp
3×div-sub associate-/l/
2×frac-2neg clear-num
1×flip3-- sqrt-pow1 pow1/2 flip--
Counts
4 → 734
Calls
4 calls:
38.0ms
(sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))))
1.0ms
(atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))
9.0ms
(/ (- 1.0 x) (sqrt (+ 1.0 x)))
25.0ms
(/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))

series255.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))))
2.0ms
(atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))
124.0ms
(/ (- 1.0 x) (sqrt (+ 1.0 x)))
41.0ms
(/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))

simplify175.0ms

Algorithm
egg-herbie
Counts
746 → 746
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0123912138
1418510880
2500110724

prune712.0ms

Filtered
746 candidates to 228 candidates (30.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New7460746
Fresh022
Picked011
Done000
Total7463749

Merged error: 0b

Counts
749 → 3

localize11.0ms

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
117×*-un-lft-identity
104×cbrt-div
84×cbrt-prod
75×add-sqr-sqrt
66×associate-/r/
59×add-cube-cbrt
52×flip3-+ flip-+
32×frac-times
21×distribute-lft-out
17×associate-/l*
16×associate-*r/ associate-*l/
13×add-exp-log
9×div-inv
8×add-cbrt-cube distribute-lft-out-- difference-of-squares
7×associate-/r*
5×cbrt-undiv div-exp
4×pow1 add-log-exp
3×pow1/3
2×div-sub
1×frac-2neg prod-exp clear-num cbrt-unprod associate-/l/
Counts
4 → 205
Calls
4 calls:
3.0ms
(cbrt (+ 1.0 x))
3.0ms
(cbrt (+ 1.0 x))
3.0ms
(cbrt (+ 1.0 x))
20.0ms
(/ (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (cbrt (+ 1.0 x)))

series296.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(cbrt (+ 1.0 x))
86.0ms
(cbrt (+ 1.0 x))
87.0ms
(cbrt (+ 1.0 x))
37.0ms
(/ (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (cbrt (+ 1.0 x)))

simplify85.0ms

Algorithm
egg-herbie
Counts
217 → 217
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
08103363
130213240
250013218

prune535.0ms

Filtered
217 candidates to 158 candidates (72.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2170217
Fresh011
Picked011
Done011
Total2173220

Merged error: 0b

Counts
220 → 3

localize18.0ms

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
86×*-un-lft-identity
64×add-sqr-sqrt
63×times-frac
50×cbrt-prod
44×add-cube-cbrt sqrt-prod
18×cbrt-div
14×associate-/r*
11×add-exp-log distribute-lft-out
10×associate-/l/ distribute-lft-out-- difference-of-squares
9×flip3-- flip-- associate-/l*
8×add-cbrt-cube
4×pow1 frac-times sqrt-div associate-/r/ add-log-exp
3×cbrt-undiv div-exp
2×frac-2neg flip3-+ pow1/3 associate-*r/ associate-*l/ clear-num flip-+ div-inv
1×prod-exp cbrt-unprod
Counts
4 → 156
Calls
4 calls:
3.0ms
(cbrt (- 1.0 x))
3.0ms
(cbrt (- 1.0 x))
10.0ms
(/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))
15.0ms
(/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))

series723.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(cbrt (- 1.0 x))
91.0ms
(cbrt (- 1.0 x))
265.0ms
(/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))
275.0ms
(/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))

simplify82.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
07691862
128591779
250011767

prune492.0ms

Filtered
168 candidates to 126 candidates (75.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1680168
Fresh000
Picked011
Done022
Total1683171

Merged error: 0b

Counts
171 → 3

regimes22.0ms

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
01310
11310

end0.0ms

sample824.0ms

Algorithm
intervals
Results
372.0ms8000×body80valid
273.0ms8215×body80nan

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