Details

Time bar (total: 2.7s)

analyze11.0ms

Algorithm
search

sample21.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify551.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1196
2216
3216

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))

rewrite31.0ms

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))

simplify39.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0354753
11071709
25001688

prune161.0ms

Filtered
70 candidates to 100 candidates (-42.9%)
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
(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)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
209×*-un-lft-identity
145×add-sqr-sqrt
142×times-frac
122×cbrt-prod
80×unpow-prod-down cube-prod
79×add-cube-cbrt
61×sqrt-prod
36×distribute-lft-out
29×distribute-lft-out-- difference-of-squares
14×associate-/r/
9×add-exp-log add-cbrt-cube
7×rem-sqrt-square flip3-+ flip-+ div-inv
6×pow1
5×associate-/l*
4×associate-/r* add-log-exp sqr-pow
3×cube-div cube-mult pow-unpow unpow3
2×cbrt-undiv cbrt-div sqrt-pow1 pow1/3 div-exp pow-exp associate-/l/ rem-cube-cbrt
1×pow-to-exp flip3-- pow-pow frac-2neg pow1/2 sqrt-div div-sub clear-num flip-- rem-cbrt-cube
Counts
4 → 265
Calls
4 calls:
18.0ms
(sqrt (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3)))
7.0ms
(/ (- 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)

series14.0ms

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

simplify87.0ms

Algorithm
egg-herbie
Counts
277 → 277
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06842359
128992188
250032131

prune304.0ms

Filtered
121 candidates to 277 candidates (-128.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2770277
Fresh011
Picked011
Done000
Total2772279

Merged error: 0b

Counts
279 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
321×*-un-lft-identity
190×times-frac
183×add-sqr-sqrt
160×cbrt-prod
89×add-cube-cbrt
56×distribute-lft-out
51×swap-sqr
47×distribute-lft-out--
35×difference-of-squares
29×associate-*r* associate-*l*
15×associate-/l*
14×associate-/r/
12×add-exp-log associate-/r*
11×pow1
10×add-cbrt-cube
9×unswap-sqr
7×flip3-+ flip-+ div-inv
6×pow1/3 associate-/l/
4×cbrt-div add-log-exp
3×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip--
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 → 277
Calls
4 calls:
30.0ms
(* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))
8.0ms
(/ (- 1.0 x) (+ 1.0 x))
8.0ms
(/ (- 1.0 x) (+ 1.0 x))
8.0ms
(/ (- 1.0 x) (+ 1.0 x))

series17.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))
3.0ms
(/ (- 1.0 x) (+ 1.0 x))
3.0ms
(/ (- 1.0 x) (+ 1.0 x))
3.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify72.0ms

Algorithm
egg-herbie
Counts
289 → 289
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04632846
117122763
250022632

prune698.0ms

Filtered
173 candidates to 289 candidates (-67.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2890289
Fresh000
Picked011
Done011
Total2892291

Merged error: 0b

Counts
291 → 2

regimes46.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0148
1148

end0.0ms

analyze5.0ms

Algorithm
search

sample475.0ms

Algorithm
intervals
Results
377.0ms8000×body80valid

Profiling

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