Details

Time bar (total: 2.4s)

sample14.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1125
2125

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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
(/ x (+ x 1.0))
0.0b
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b
(/ 1.0 (- x 1.0))

rewrite62.0ms

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:
8.0ms
(/ x (+ x 1.0))
45.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms
(/ 1.0 (- x 1.0))

series187.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ x (+ x 1.0))
124.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
29.0ms
(/ 1.0 (- x 1.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0400551
11470525
25001521

prune227.0ms

Filtered
123 candidates to 94 candidates (76.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (cbrt (pow (/ 1.0 (- x 1.0)) 3)) (/ x (+ x 1.0)))
0.0b
(/ 1.0 (- x 1.0))
0.2b
(pow (/ 1.0 (- x 1.0)) 3)
21.8b
(cbrt (pow (/ 1.0 (- x 1.0)) 3))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
118×*-un-lft-identity
116×add-sqr-sqrt
105×times-frac
96×cbrt-prod
72×add-cube-cbrt
63×unpow-prod-down cube-prod
51×fma-def
22×distribute-lft-out-- difference-of-squares
14×associate-/r/
9×add-exp-log add-cbrt-cube
7×flip3-- flip-- div-inv
6×add-log-exp
5×pow1 associate-/r*
4×expm1-log1p-u log1p-expm1-u
3×cube-div cube-mult pow-unpow unpow3 associate-/l* sqr-pow
2×cbrt-undiv cbrt-div div-exp pow-exp rem-cube-cbrt
1×+-commutative pow-to-exp pow-pow frac-2neg flip3-+ pow1/3 frac-add clear-num sum-log rem-cbrt-cube flip-+ distribute-lft-out
Counts
4 → 229
Calls
4 calls:
123.0ms
(+ (cbrt (pow (/ 1.0 (- x 1.0)) 3)) (/ x (+ x 1.0)))
5.0ms
(/ 1.0 (- x 1.0))
8.0ms
(pow (/ 1.0 (- x 1.0)) 3)
9.0ms
(cbrt (pow (/ 1.0 (- x 1.0)) 3))

series231.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(+ (cbrt (pow (/ 1.0 (- x 1.0)) 3)) (/ x (+ x 1.0)))
28.0ms
(/ 1.0 (- x 1.0))
52.0ms
(pow (/ 1.0 (- x 1.0)) 3)
28.0ms
(cbrt (pow (/ 1.0 (- x 1.0)) 3))

simplify86.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06601237
130271116
250011101

prune402.0ms

Filtered
241 candidates to 133 candidates (55.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (- x 1.0))
0.0b
(fma 1.0 (+ x 1.0) (* x (- x 1.0)))
0.0b
(* (+ x 1.0) (- x 1.0))
17.8b
(/ (fma 1.0 (+ x 1.0) (* x (- x 1.0))) (* (+ x 1.0) (- x 1.0)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×*-un-lft-identity
36×prod-diff
34×add-cube-cbrt
22×distribute-rgt-in distribute-lft-in
13×add-exp-log add-cbrt-cube
10×associate-*r*
8×pow1 frac-times associate-/r/
7×flip3-- associate-*l* flip--
6×flip3-+ associate-*r/ flip-+
4×expm1-log1p-u sub-neg associate-*l/ log1p-expm1-u add-log-exp
3×times-frac prod-exp cbrt-unprod associate-/l*
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
1×frac-2neg clear-num associate-/r* fma-udef div-inv distribute-lft-out
Counts
4 → 140
Calls
4 calls:
12.0ms
(* x (- x 1.0))
0.0ms
(fma 1.0 (+ x 1.0) (* x (- x 1.0)))
19.0ms
(* (+ x 1.0) (- x 1.0))
8.0ms
(/ (fma 1.0 (+ x 1.0) (* x (- x 1.0))) (* (+ x 1.0) (- x 1.0)))

series338.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* x (- x 1.0))
90.0ms
(fma 1.0 (+ x 1.0) (* x (- x 1.0)))
80.0ms
(* (+ x 1.0) (- x 1.0))
121.0ms
(/ (fma 1.0 (+ x 1.0) (* x (- x 1.0))) (* (+ x 1.0) (- x 1.0)))

simplify74.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05391282
12688955
25001955

prune243.0ms

Filtered
152 candidates to 90 candidates (59.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

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

sample276.0ms

Algorithm
intervals
Results
185.0ms8000×body80valid