Details

Time bar (total: 3.8s)

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

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))

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:
44.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
8.0ms
(/ x (+ x 1.0))
5.0ms
(/ 1.0 (- x 1.0))

series187.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
33.0ms
(/ x (+ x 1.0))
31.0ms
(/ 1.0 (- x 1.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0400551
11470525
25001521

prune237.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
0.0b
(/ 1.0 (- x 1.0))
0.1b
(/ 1 (/ (+ x 1.0) x))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
130×times-frac
121×*-un-lft-identity
85×add-sqr-sqrt
71×add-cube-cbrt
21×fma-def associate-/r*
16×add-exp-log distribute-lft-out
10×add-cbrt-cube
8×div-exp div-inv distribute-lft-out--
7×difference-of-squares
6×associate-/l*
5×associate-/r/ add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip--
1×+-commutative pow-flip flip3-+ frac-add sum-log flip-+ inv-pow
Counts
3 → 168
Calls
3 calls:
74.0ms
(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
5.0ms
(/ 1.0 (- x 1.0))
9.0ms
(/ 1 (/ (+ x 1.0) x))

series190.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
28.0ms
(/ 1.0 (- x 1.0))
38.0ms
(/ 1 (/ (+ x 1.0) x))

simplify68.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06111055
12764860
25001852

prune275.0ms

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
(+ (log (exp (/ 1.0 (- x 1.0)))) (/ 1 (/ (+ x 1.0) x)))
0.0b
(/ 1.0 (- x 1.0))
0.1b
(/ 1 (/ (+ x 1.0) x))
3.1b
(log (exp (/ 1.0 (- x 1.0))))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
132×*-un-lft-identity
104×add-sqr-sqrt
84×add-cube-cbrt
46×log-pow
42×exp-prod
25×fma-def
21×associate-/r*
17×add-exp-log
16×distribute-lft-out
11×add-cbrt-cube
10×div-inv distribute-lft-out-- difference-of-squares
9×pow1
8×div-exp
7×associate-/r/
6×log-prod associate-/l*
5×add-log-exp
4×cbrt-undiv expm1-log1p-u log1p-expm1-u
3×associate-+l+ flip3-- flip--
2×rec-exp frac-2neg 1-exp clear-num
1×+-commutative pow-flip flip3-+ rem-log-exp sum-log flip-+ inv-pow
Counts
4 → 209
Calls
4 calls:
142.0ms
(+ (log (exp (/ 1.0 (- x 1.0)))) (/ 1 (/ (+ x 1.0) x)))
5.0ms
(/ 1.0 (- x 1.0))
8.0ms
(/ 1 (/ (+ x 1.0) x))
13.0ms
(log (exp (/ 1.0 (- x 1.0))))

series213.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(+ (log (exp (/ 1.0 (- x 1.0)))) (/ 1 (/ (+ x 1.0) x)))
30.0ms
(/ 1.0 (- x 1.0))
34.0ms
(/ 1 (/ (+ x 1.0) x))
29.0ms
(log (exp (/ 1.0 (- x 1.0))))

simplify67.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06591267
126941045
250021033

prune424.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (/ (+ x 1.0) x))
0.2b
(/ 1.0 (- (pow x 3) (pow 1.0 3)))
3.1b
(log (exp (* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))))
20.9b
(* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
287×add-sqr-sqrt
247×times-frac
208×*-un-lft-identity
114×add-cube-cbrt
112×difference-of-squares
84×unpow-prod-down cube-prod
81×associate-*l*
56×sqr-pow
41×associate-/r*
35×distribute-lft-out--
22×add-exp-log
16×add-cbrt-cube
12×distribute-lft-out
9×div-exp
8×pow1
7×difference-cubes div-inv
6×associate-/l*
5×cbrt-undiv log-prod associate-/r/ add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* log-pow
2×distribute-rgt-in frac-times rec-exp flip3-- frac-2neg distribute-lft-in flip3-+ 1-exp associate-*r/ exp-sum prod-exp clear-num flip-- cbrt-unprod flip-+ unswap-sqr
1×exp-prod exp-to-pow pow-flip rem-log-exp pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 335
Calls
4 calls:
8.0ms
(/ 1 (/ (+ x 1.0) x))
26.0ms
(/ 1.0 (- (pow x 3) (pow 1.0 3)))
2.0ms
(log (exp (* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))))
99.0ms
(* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

series225.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ 1 (/ (+ x 1.0) x))
74.0ms
(/ 1.0 (- (pow x 3) (pow 1.0 3)))
59.0ms
(log (exp (* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))))
57.0ms
(* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

simplify71.0ms

Algorithm
egg-herbie
Counts
347 → 347
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
013363217
150012991

prune925.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

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
0158
1158

end0.0ms

sample269.0ms

Algorithm
intervals
Results
180.0ms8000×body80valid