Details

Time bar (total: 5.5s)

sample72.0ms

Algorithm
intervals
Results
39.0ms83×body10240exit
17.0ms269×body80valid
2.0ms4×body1280valid
2.0ms6×body640valid
1.0ms6×body320valid
0.0ms3×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1195
2235
3235

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (+ 1.0 (exp x))) (* x y))
0.0b
(+ 1.0 (exp x))
0.5b
(log (+ 1.0 (exp x)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt log-prod
6×pow1 add-log-exp
4×add-exp-log log-div fma-neg prod-diff associate--l+
3×expm1-log1p-u fma-def flip3-+ log-pow add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
2×associate--l-
1×+-commutative sub-neg flip3-- diff-log rem-log-exp sum-log flip--
Counts
3 → 62
Calls
3 calls:
6.0ms
(- (log (+ 1.0 (exp x))) (* x y))
3.0ms
(+ 1.0 (exp x))
3.0ms
(log (+ 1.0 (exp x)))

series124.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(- (log (+ 1.0 (exp x))) (* x y))
7.0ms
(+ 1.0 (exp x))
62.0ms
(log (+ 1.0 (exp x)))

simplify62.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0236404
1702369
22284367
35002340

prune167.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp x))
0.0b
(+ 1.0 (exp x))
1.2b
(log (sqrt (+ 1.0 (exp x))))
1.2b
(log (sqrt (+ 1.0 (exp x))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
14×log-prod
10×add-sqr-sqrt add-cube-cbrt
8×pow1 sqrt-prod add-log-exp
6×add-exp-log fma-def log-pow
4×expm1-log1p-u log-div flip3-+ sqrt-div add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
2×+-commutative sqrt-pow1 pow1/2 rem-log-exp sum-log
Counts
4 → 78
Calls
4 calls:
3.0ms
(+ 1.0 (exp x))
3.0ms
(+ 1.0 (exp x))
3.0ms
(log (sqrt (+ 1.0 (exp x))))
3.0ms
(log (sqrt (+ 1.0 (exp x))))

series223.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+ 1.0 (exp x))
8.0ms
(+ 1.0 (exp x))
101.0ms
(log (sqrt (+ 1.0 (exp x))))
106.0ms
(log (sqrt (+ 1.0 (exp x))))

simplify45.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0165504
1423460
21201448
35002438

prune263.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (+ 1.0 (exp x)))
0.7b
(cbrt (+ 1.0 (exp x)))
0.7b
(cbrt (+ 1.0 (exp x)))
1.2b
(log (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
13×*-un-lft-identity
12×pow1 cbrt-prod
9×flip3-+ pow1/3 log-pow flip-+
8×log-div
7×add-exp-log add-sqr-sqrt add-cube-cbrt
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp
3×distribute-lft-out
2×associate-*r/ rem-log-exp pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 log-prod pow-plus prod-exp
Counts
4 → 77
Calls
4 calls:
2.0ms
(cbrt (+ 1.0 (exp x)))
2.0ms
(cbrt (+ 1.0 (exp x)))
2.0ms
(cbrt (+ 1.0 (exp x)))
10.0ms
(log (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))))

series541.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(cbrt (+ 1.0 (exp x)))
116.0ms
(cbrt (+ 1.0 (exp x)))
121.0ms
(cbrt (+ 1.0 (exp x)))
182.0ms
(log (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0222715
1535641
21820619
35002612

prune291.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* (cbrt (- (log (+ 1.0 (exp x))) (* x y))) (cbrt (- (log (+ 1.0 (exp x))) (* x y)))) (cbrt (- (log (+ 1.0 (exp x))) (* x y))))
1.0b
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
1.0b
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
1.0b
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-- flip--
28×frac-times
23×pow1
14×associate-*l/
13×cbrt-prod
12×pow1/3
11×add-sqr-sqrt
9×add-exp-log add-cube-cbrt *-un-lft-identity pow-prod-up
8×associate-*r/
6×pow-plus associate-*r*
5×pow-prod-down add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×prod-exp pow-sqr cbrt-unprod
2×pow2 unswap-sqr
1×associate-*l* pow3 *-commutative
Counts
4 → 108
Calls
4 calls:
36.0ms
(* (* (cbrt (- (log (+ 1.0 (exp x))) (* x y))) (cbrt (- (log (+ 1.0 (exp x))) (* x y)))) (cbrt (- (log (+ 1.0 (exp x))) (* x y))))
2.0ms
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
2.0ms
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
2.0ms
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))

series985.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (* (cbrt (- (log (+ 1.0 (exp x))) (* x y))) (cbrt (- (log (+ 1.0 (exp x))) (* x y)))) (cbrt (- (log (+ 1.0 (exp x))) (* x y))))
311.0ms
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
308.0ms
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
304.0ms
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))

simplify65.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04572712
116692425
250012290

prune336.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.4b

regimes75.0ms

Accuracy

0% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01211
11211

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.1s2434×body10240exit
549.0ms8476×body80valid
77.0ms247×body640valid
70.0ms125×body1280valid
41.0ms196×body320valid
13.0ms95×body160valid