Details

Time bar (total: 3.1s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite60.0ms

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))
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:
36.0ms
(/ x (+ x 1.0))
119.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
32.0ms
(/ 1.0 (- x 1.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0400551
11470525
25001521

prune241.0ms

Filtered
123 candidates to 94 candidates (76.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite346.0ms

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:
45.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms
(/ 1.0 (- x 1.0))
147.0ms
(log (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
144.0ms
(exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))

series491.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
27.0ms
(/ 1.0 (- x 1.0))
121.0ms
(log (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
222.0ms
(exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))

simplify41.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0386677
11396626
25001619

prune296.0ms

Filtered
134 candidates to 97 candidates (72.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (exp (/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))))
0.0b
(fma 1.0 (+ x 1.0) (* (- x 1.0) x))
0.0b
(exp (/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0))))
14.6b
(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×exp-prod times-frac
30×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×log-pow
10×difference-of-squares
6×add-exp-log associate-/r/ add-cbrt-cube
5×pow1 add-log-exp
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×log-prod flip3-- flip-- div-inv associate-/l*
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num fma-udef rem-exp-log
Counts
4 → 105
Calls
4 calls:
13.0ms
(log (exp (/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))))
0.0ms
(fma 1.0 (+ x 1.0) (* (- x 1.0) x))
12.0ms
(exp (/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0))))
5.0ms
(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))

series463.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(log (exp (/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))))
87.0ms
(fma 1.0 (+ x 1.0) (* (- x 1.0) x))
178.0ms
(exp (/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0))))
100.0ms
(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))

simplify165.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03211248
110491150
249181144
350011144

prune344.0ms

Filtered
117 candidates to 101 candidates (86.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

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
0117
1117

end0.0ms

sample266.0ms

Algorithm
intervals
Results
177.0ms8000×body80valid