Details

Time bar (total: 2.8s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1125
2125

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite89.0ms

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:
65.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
10.0ms
(/ x (+ x 1.0))
11.0ms
(/ 1.0 (- x 1.0))

series176.0ms

Counts
3 → 9
Calls
3 calls:
115.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
32.0ms
(/ x (+ x 1.0))
29.0ms
(/ 1.0 (- x 1.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0379534
11365507
25001502

prune162.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
133×*-un-lft-identity
59×times-frac
37×add-sqr-sqrt
32×distribute-lft-out
29×add-cube-cbrt
22×cbrt-prod
16×unpow-prod-down cube-prod
12×distribute-lft-out--
9×add-exp-log associate-/r* add-cbrt-cube
6×cube-div associate-/l*
5×pow1
4×associate-/r/ add-log-exp difference-of-squares
3×pow-unpow cbrt-div flip3-+ flip-+
2×cbrt-undiv cube-mult frac-2neg unpow3 div-exp frac-add clear-num div-inv sqr-pow
1×pow-to-exp flip3-- pow-pow pow1/3 pow-exp flip-- rem-cbrt-cube rem-cube-cbrt
Counts
4 → 140
Calls
4 calls:
11.0ms
(/ 1.0 (- x 1.0))
10.0ms
(/ x (+ x 1.0))
99.0ms
(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
110.0ms
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series365.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ 1.0 (- x 1.0))
31.0ms
(/ x (+ x 1.0))
132.0ms
(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
170.0ms
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify62.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05471041
12300990
25001984

prune269.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series732.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt x) (cbrt x))
176.0ms
(cbrt x)
178.0ms
(cbrt x)
177.0ms
(cbrt x)

simplify90.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune224.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

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 (0.0ms)

IterNodesCost
0127
1127

end0.0ms

sample295.0ms

Algorithm
intervals
Results
187.0ms8000×body80valid