Details

Time bar (total: 3.5s)

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))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
35×times-frac
30×add-sqr-sqrt
22×add-cube-cbrt
11×distribute-lft-out
9×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l* distribute-lft-out--
5×add-log-exp
4×associate-/r/ difference-of-squares
3×pow1
2×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
1×+-commutative flip3-- frac-add sum-log flip--
Counts
3 → 87
Calls
3 calls:
45.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms
(/ x (+ x 1.0))
5.0ms
(/ 1.0 (- x 1.0))

series191.0ms

Counts
3 → 9
Calls
3 calls:
124.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
38.0ms
(/ x (+ x 1.0))
29.0ms
(/ 1.0 (- x 1.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0379534
11365507
25001502

prune174.0ms

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
115×times-frac
106×*-un-lft-identity
70×add-sqr-sqrt
62×add-cube-cbrt
21×associate-/r*
16×add-exp-log distribute-lft-out
10×add-cbrt-cube
8×div-exp
7×div-inv
6×associate-/l*
5×distribute-lft-out-- add-log-exp
4×pow1 cbrt-undiv difference-of-squares
3×associate-/r/
2×rec-exp frac-2neg 1-exp clear-num
1×+-commutative flip3-- pow-flip flip3-+ frac-add sum-log flip-- flip-+ inv-pow
Counts
3 → 141
Calls
3 calls:
75.0ms
(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
5.0ms
(/ 1.0 (- x 1.0))
9.0ms
(/ 1 (/ (+ x 1.0) x))

series196.0ms

Counts
3 → 9
Calls
3 calls:
127.0ms
(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
29.0ms
(/ 1.0 (- x 1.0))
39.0ms
(/ 1 (/ (+ x 1.0) x))

simplify65.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05901033
12660844
25001835

prune203.0ms

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))))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
116×*-un-lft-identity
88×add-sqr-sqrt
74×add-cube-cbrt
24×log-pow
21×exp-prod associate-/r*
17×add-exp-log
16×distribute-lft-out
11×add-cbrt-cube
9×div-inv
8×pow1 div-exp
7×distribute-lft-out-- difference-of-squares
6×log-prod associate-/l*
5×associate-/r/ add-log-exp
4×cbrt-undiv
3×associate-+l+
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip--
1×+-commutative pow-flip flip3-+ rem-log-exp sum-log flip-+ inv-pow
Counts
4 → 176
Calls
4 calls:
136.0ms
(+ (log (exp (/ 1.0 (- x 1.0)))) (/ 1 (/ (+ x 1.0) x)))
5.0ms
(/ 1.0 (- x 1.0))
9.0ms
(/ 1 (/ (+ x 1.0) x))
16.0ms
(log (exp (/ 1.0 (- x 1.0))))

series226.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(+ (log (exp (/ 1.0 (- x 1.0)))) (/ 1 (/ (+ x 1.0) x)))
28.0ms
(/ 1.0 (- x 1.0))
39.0ms
(/ 1 (/ (+ x 1.0) x))
29.0ms
(log (exp (/ 1.0 (- x 1.0))))

simplify65.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06371237
125921021
250011017

prune327.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

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))))

rewrite164.0ms

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
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 → 327
Calls
4 calls:
9.0ms
(/ 1 (/ (+ x 1.0) x))
30.0ms
(/ 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))))))
103.0ms
(* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

series233.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ 1 (/ (+ x 1.0) x))
76.0ms
(/ 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))))))
63.0ms
(* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

simplify63.0ms

Algorithm
egg-herbie
Counts
339 → 339
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013093275
150013013

prune880.0ms

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

sample270.0ms

Algorithm
intervals
Results
187.0ms8000×body80valid