Details

Time bar (total: 2.5s)

analyze12.0ms

Algorithm
search

sample21.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify570.0ms

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))

rewrite32.0ms

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))

simplify38.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0354753
11071709
25001688

prune162.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(atan (sqrt (* (- 1.0 x) (/ 1 (+ 1.0 x)))))
0.0b
(sqrt (* (- 1.0 x) (/ 1 (+ 1.0 x))))
0.0b
(/ 1 (+ 1.0 x))
0.0b
(* (- 1.0 x) (/ 1 (+ 1.0 x)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
31×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
18×associate-*r*
17×add-exp-log
11×add-cbrt-cube
10×pow1
7×distribute-lft-out
6×sqrt-div
5×associate-*l*
4×frac-times flip3-- div-exp associate-*l/ prod-exp associate-/r* associate-/r/ flip-- add-log-exp
3×associate-/l* unswap-sqr
2×cbrt-undiv rec-exp sqrt-pow1 flip3-+ 1-exp associate-*r/ pow-prod-down un-div-inv cbrt-unprod flip-+ div-inv
1×pow-flip frac-2neg pow1/2 clear-num sqrt-prod *-commutative distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 108
Calls
4 calls:
1.0ms
(atan (sqrt (* (- 1.0 x) (/ 1 (+ 1.0 x)))))
8.0ms
(sqrt (* (- 1.0 x) (/ 1 (+ 1.0 x))))
5.0ms
(/ 1 (+ 1.0 x))
12.0ms
(* (- 1.0 x) (/ 1 (+ 1.0 x)))

series11.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(atan (sqrt (* (- 1.0 x) (/ 1 (+ 1.0 x)))))
4.0ms
(sqrt (* (- 1.0 x) (/ 1 (+ 1.0 x))))
2.0ms
(/ 1 (+ 1.0 x))
3.0ms
(* (- 1.0 x) (/ 1 (+ 1.0 x)))

simplify54.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0430716
11909632
25001580

prune148.0ms

Filtered
73 candidates to 120 candidates (-64.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1200120
Fresh011
Picked011
Done000
Total1202122

Merged error: 0b

Counts
122 → 2

localize11.0ms

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

rewrite70.0ms

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)))
7.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
7.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
32.0ms
(* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))

series34.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
12.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
7.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
9.0ms
(* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))

simplify70.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04243002
115212928
250022812

prune636.0ms

Filtered
152 candidates to 256 candidates (-68.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2560256
Fresh000
Picked011
Done011
Total2562258

Merged error: 0b

Counts
258 → 2

regimes52.0ms

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
0167
1167

end0.0ms

analyze4.0ms

Algorithm
search

sample480.0ms

Algorithm
intervals
Results
383.0ms8000×body80valid

Profiling

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