Details

Time bar (total: 1.2s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
052311
152311

prune4.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
35×times-frac
30×add-sqr-sqrt
22×add-cube-cbrt
11×distribute-lft-out
9×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l* distribute-lft-out--
5×add-log-exp
4×associate-/r/ difference-of-squares
3×pow1
2×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
1×+-commutative flip3-- frac-add sum-log flip--
Counts
3 → 87
Calls
3 calls:
23.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms
(/ 1.0 (- x 1.0))
5.0ms
(/ x (+ x 1.0))

series13.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
2.0ms
(/ 1.0 (- x 1.0))
3.0ms
(/ x (+ x 1.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05315995

prune114.0ms

Filtered
71 candidates to 96 candidates (-35.2%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New94296
Fresh000
Picked101
Done000
Total95297

Merged error: 0b

Counts
97 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
0.0b
(/ x (+ x 1.0))
0.2b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
17.9b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
37×times-frac
36×add-sqr-sqrt
31×add-cube-cbrt
18×associate-*l*
13×add-exp-log add-cbrt-cube
8×associate-/r*
7×difference-of-squares
6×pow1 flip3-+ associate-/r/ flip-+ associate-/l* add-log-exp
5×frac-add distribute-lft-out
4×frac-times associate-*r/ associate-*r*
3×cbrt-undiv div-exp div-inv
2×distribute-rgt-in associate-+l+ flip3-- frac-2neg distribute-lft-in associate-*l/ prod-exp clear-num flip-- cbrt-unprod unswap-sqr
1×+-commutative pow-prod-down sum-log *-commutative
Counts
4 → 128
Calls
4 calls:
15.0ms
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
5.0ms
(/ x (+ x 1.0))
5.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
12.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series18.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
2.0ms
(/ x (+ x 1.0))
3.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
3.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
051191830

prune195.0ms

Filtered
115 candidates to 140 candidates (-21.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1400140
Fresh011
Picked011
Done000
Total1402142

Merged error: 0b

Counts
142 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
108×*-un-lft-identity
51×times-frac
34×add-sqr-sqrt
26×add-cube-cbrt
25×distribute-lft-out
22×cbrt-prod
10×distribute-lft-out--
9×associate-/r*
8×add-exp-log unpow-prod-down cube-prod add-cbrt-cube
6×associate-/l* add-log-exp
4×pow1 associate-/r/ difference-of-squares
3×cube-div cbrt-div flip3-+ flip-+
2×cbrt-undiv frac-2neg div-exp frac-add clear-num div-inv
1×+-commutative cube-mult flip3-- pow1/3 unpow3 sum-log flip-- rem-cbrt-cube sqr-pow
Counts
4 → 121
Calls
4 calls:
25.0ms
(+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
5.0ms
(/ 1.0 (- x 1.0))
24.0ms
(cbrt (pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3))
5.0ms
(/ x (+ x 1.0))

series18.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
2.0ms
(/ 1.0 (- x 1.0))
8.0ms
(cbrt (pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3))
3.0ms
(/ x (+ x 1.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049861622
149861622

prune162.0ms

Filtered
88 candidates to 133 candidates (-51.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1330133
Fresh000
Picked011
Done011
Total1332135

Merged error: 0b

Counts
135 → 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 (1.0ms)

IterNodesCost
03119
13119

end0.0ms

sample347.0ms

Algorithm
intervals
Results
227.0ms8000×body80valid

Profiling

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