Details

Time bar (total: 2.8s)

sample12.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite61.0ms

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))
46.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms
(/ 1.0 (- x 1.0))

series180.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ x (+ x 1.0))
119.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
27.0ms
(/ 1.0 (- x 1.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0400551
11470525
25001521

prune221.0ms

Filtered
123 candidates to 94 candidates (76.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.0b
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
0.1b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
11.3b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite54.0ms

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×expm1-log1p-u frac-times associate-*r/ associate-*r* log1p-expm1-u
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 fma-def pow-prod-down sum-log *-commutative
Counts
4 → 137
Calls
4 calls:
5.0ms
(/ x (+ x 1.0))
18.0ms
(+ (* (/ 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)))
22.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series292.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ x (+ x 1.0))
160.0ms
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
49.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
49.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
08171171
141901086
250011081

prune315.0ms

Filtered
149 candidates to 121 candidates (81.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite326.0ms

Algorithm
rewrite-expression-head
Rules
106×*-un-lft-identity
54×times-frac
40×add-sqr-sqrt
26×add-cube-cbrt
21×fma-def distribute-lft-out
16×exp-prod
13×distribute-lft-out--
9×log-pow add-log-exp
7×difference-of-squares
6×add-exp-log add-cbrt-cube
5×pow1 associate-/r*
4×expm1-log1p-u log-prod associate-/r/ log1p-expm1-u
3×associate-/l*
2×flip3-- exp-sum sum-log flip-- div-inv rem-exp-log
1×cbrt-undiv +-commutative frac-2neg flip3-+ div-exp rem-log-exp frac-add clear-num flip-+
Counts
4 → 122
Calls
4 calls:
139.0ms
(log (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
132.0ms
(exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
45.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms
(/ 1.0 (- x 1.0))

series490.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(log (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
219.0ms
(exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
121.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
28.0ms
(/ 1.0 (- x 1.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0386677
11394626
25002619

prune282.0ms

Filtered
134 candidates to 97 candidates (72.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes19.0ms

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
0139
1139

end0.0ms

sample277.0ms

Algorithm
intervals
Results
188.0ms8000×body80valid