Details

Time bar (total: 3.6s)

sample38.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
9.0ms262×body80nan

simplify10.0ms

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 (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

localize199.0ms

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))

series19.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
6.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
10.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify38.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0354753
11071709
25001688

prune179.0ms

Filtered
100 candidates to 70 candidates (30.0%)
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
(atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))
0.0b
(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)))

rewrite135.0ms

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:
1.0ms
(atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))
39.0ms
(sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))))
8.0ms
(/ (- 1.0 x) (sqrt (+ 1.0 x)))
21.0ms
(/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))

series17.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))
5.0ms
(sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))))
7.0ms
(/ (- 1.0 x) (sqrt (+ 1.0 x)))
3.0ms
(/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))

simplify177.0ms

Algorithm
egg-herbie
Counts
746 → 746
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0123912138
1418510880
2500110724

prune907.0ms

Filtered
746 candidates to 226 candidates (69.7%)
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
(exp (sqrt (/ (- 1.0 x) (+ x 1.0))))
0.0b
(sqrt (/ (- 1.0 x) (+ x 1.0)))
0.0b
(log (exp (sqrt (/ (- 1.0 x) (+ x 1.0)))))
0.0b
(/ (- 1.0 x) (+ x 1.0))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
124×*-un-lft-identity
85×add-sqr-sqrt
81×times-frac
78×sqrt-prod
58×exp-prod
48×add-cube-cbrt
30×log-pow
21×distribute-lft-out
17×distribute-lft-out-- difference-of-squares
8×associate-/r/
6×pow1 add-exp-log add-cbrt-cube
5×associate-/l* add-log-exp
4×flip3-+ associate-/r* flip-+ div-inv
3×log-prod
2×rem-sqrt-square associate-/l/
1×cbrt-undiv flip3-- frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub div-exp rem-log-exp clear-num flip-- rem-exp-log
Counts
4 → 162
Calls
4 calls:
9.0ms
(exp (sqrt (/ (- 1.0 x) (+ x 1.0))))
7.0ms
(sqrt (/ (- 1.0 x) (+ x 1.0)))
12.0ms
(log (exp (sqrt (/ (- 1.0 x) (+ x 1.0)))))
7.0ms
(/ (- 1.0 x) (+ x 1.0))

series19.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(exp (sqrt (/ (- 1.0 x) (+ x 1.0))))
4.0ms
(sqrt (/ (- 1.0 x) (+ x 1.0)))
5.0ms
(log (exp (sqrt (/ (- 1.0 x) (+ x 1.0)))))
3.0ms
(/ (- 1.0 x) (+ x 1.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
05061319
115571244
250021184

prune315.0ms

Filtered
174 candidates to 116 candidates (33.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1740174
Fresh011
Picked011
Done011
Total1743177

Merged error: 0b

Counts
177 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
183×*-un-lft-identity
130×sqrt-prod
124×add-sqr-sqrt
121×times-frac
71×add-cube-cbrt
64×cbrt-prod
58×unpow-prod-down cube-prod
31×distribute-lft-out
25×distribute-lft-out-- difference-of-squares
12×associate-/r/
7×pow1 add-exp-log add-cbrt-cube
6×flip3-+ flip-+ div-inv
5×associate-/l*
4×associate-/r* add-log-exp
3×pow-unpow pow-pow sqrt-div
2×cube-div cube-mult rem-sqrt-square sqrt-pow1 pow1/2 unpow3 associate-/l/ sqr-pow
1×cbrt-undiv pow-to-exp cbrt-div flip3-- frac-2neg pow1/3 div-sub div-exp pow-exp clear-num sqrt-pow2 flip-- rem-cbrt-cube rem-cube-cbrt
Counts
4 → 237
Calls
4 calls:
7.0ms
(sqrt (/ (- 1.0 x) (+ x 1.0)))
8.0ms
(/ (- 1.0 x) (+ x 1.0))
12.0ms
(cbrt (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3))
10.0ms
(pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)

series23.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (/ (- 1.0 x) (+ x 1.0)))
3.0ms
(/ (- 1.0 x) (+ x 1.0))
8.0ms
(cbrt (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3))
8.0ms
(pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)

simplify76.0ms

Algorithm
egg-herbie
Counts
249 → 249
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
07022237
123892095
250012063

prune323.0ms

Filtered
249 candidates to 120 candidates (51.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2490249
Fresh000
Picked011
Done022
Total2493252

Merged error: 0b

Counts
252 → 3

regimes34.0ms

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

sample903.0ms

Algorithm
intervals
Results
378.0ms8000×body80valid
272.0ms8169×body80nan

Profiling

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