Details

Time bar (total: 2.9s)

sample13.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0115
1125
2125

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
50×times-frac
45×add-sqr-sqrt
31×add-cube-cbrt
21×fma-def
11×distribute-lft-out
9×associate-/r* distribute-lft-out--
7×add-exp-log add-cbrt-cube difference-of-squares
6×associate-/r/ associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u div-inv
2×cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+
1×+-commutative frac-add sum-log
Counts
3 → 114
Calls
3 calls:
5.0ms
(/ x (+ x 1.0))
8.0ms
(/ 1.0 (- x 1.0))
25.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series183.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ x (+ x 1.0))
30.0ms
(/ 1.0 (- x 1.0))
120.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0400551
11470525
25001521

prune190.0ms

Filtered
123 candidates to 94 candidates (76.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1203123
Fresh000
Picked101
Done000
Total1213124

Merged error: 0b

Counts
124 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.0b
(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
0.8b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
24×times-frac
21×add-sqr-sqrt add-cube-cbrt
8×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l*
4×associate-/r/ distribute-lft-out difference-of-squares
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg div-exp clear-num div-inv
1×flip3-- flip3-+ flip-- flip-+ fma-udef
Counts
3 → 80
Calls
3 calls:
8.0ms
(/ x (+ x 1.0))
1.0ms
(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
5.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series209.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ x (+ x 1.0))
130.0ms
(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
46.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0373597
11517547
25002541

prune154.0ms

Filtered
89 candidates to 72 candidates (80.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New89089
Fresh022
Picked011
Done000
Total89392

Merged error: 0b

Counts
92 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
152×*-un-lft-identity
67×times-frac
39×distribute-lft-out
34×add-sqr-sqrt
28×add-cube-cbrt
22×cbrt-prod
21×fma-def
16×unpow-prod-down cube-prod
13×distribute-lft-out--
7×add-exp-log add-cbrt-cube
6×cube-div add-log-exp
5×pow1
4×expm1-log1p-u flip3-+ associate-/r* associate-/r/ flip-+ log1p-expm1-u
3×pow-unpow cbrt-div frac-add associate-/l* difference-of-squares
2×cube-mult unpow3 div-inv sqr-pow
1×cbrt-undiv +-commutative pow-to-exp flip3-- pow-pow frac-2neg pow1/3 div-exp pow-exp clear-num sum-log flip-- rem-cbrt-cube rem-cube-cbrt
Counts
4 → 149
Calls
4 calls:
6.0ms
(/ x (+ x 1.0))
25.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
30.0ms
(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
27.0ms
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series467.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ x (+ x 1.0))
122.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
135.0ms
(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
177.0ms
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify64.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04701012
11987962
25001956

prune239.0ms

Filtered
161 candidates to 100 candidates (62.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1610161
Fresh011
Picked011
Done011
Total1613164

Merged error: 0b

Counts
164 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
0.3b
(cbrt (- x 1.0))
0.3b
(cbrt (- x 1.0))
0.3b
(cbrt (- x 1.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
11.0ms
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
3.0ms
(cbrt (- x 1.0))
3.0ms
(cbrt (- x 1.0))
3.0ms
(cbrt (- x 1.0))

series412.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
96.0ms
(cbrt (- x 1.0))
103.0ms
(cbrt (- x 1.0))
95.0ms
(cbrt (- x 1.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0384861
11305823
25001757

prune250.0ms

Filtered
121 candidates to 89 candidates (73.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh000
Picked011
Done022
Total1213124

Merged error: 0b

Counts
124 → 3

regimes28.0ms

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
0108
1108

end0.0ms

sample314.0ms

Algorithm
intervals
Results
227.0ms8000×body80valid

Profiling

Loading profile data...