Details

Time bar (total: 5.4s)

sample75.0ms

Algorithm
intervals
Results
38.0ms83×body10240exit
20.0ms269×body80valid
3.0ms4×body1280valid
2.0ms6×body640valid
1.0ms6×body320valid
0.0ms3×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1195
2195

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)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
8×log-prod
6×add-log-exp
5×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log log-div associate--l+
3×flip3-+ add-cbrt-cube flip-+ distribute-lft-out
2×associate--l-
1×+-commutative sub-neg flip3-- diff-log rem-log-exp sum-log log-pow flip--
Counts
3 → 45
Calls
3 calls:
5.0ms
(- (log (+ 1.0 (exp x))) (* x y))
3.0ms
(+ 1.0 (exp x))
3.0ms
(log (+ 1.0 (exp x)))

series123.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(- (log (+ 1.0 (exp x))) (* x y))
7.0ms
(+ 1.0 (exp x))
63.0ms
(log (+ 1.0 (exp x)))

simplify48.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0207322
1584301
21729298
35001297

prune132.0ms

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
16×*-un-lft-identity
14×log-prod
8×pow1 add-sqr-sqrt add-cube-cbrt sqrt-prod add-log-exp
6×add-exp-log log-pow
4×log-div flip3-+ sqrt-div add-cbrt-cube flip-+ distribute-lft-out
2×+-commutative sqrt-pow1 pow1/2 rem-log-exp sum-log
Counts
4 → 64
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))))

series221.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+ 1.0 (exp x))
7.0ms
(+ 1.0 (exp x))
101.0ms
(log (sqrt (+ 1.0 (exp x))))
105.0ms
(log (sqrt (+ 1.0 (exp x))))

simplify40.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
0155476
1390434
21073422
35002414

prune215.0ms

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)))))

rewrite20.0ms

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×frac-times add-cbrt-cube 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 → 69
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)))))

series551.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(cbrt (+ 1.0 (exp x)))
116.0ms
(cbrt (+ 1.0 (exp x)))
117.0ms
(cbrt (+ 1.0 (exp x)))
195.0ms
(log (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0212675
1498601
21640579
35001578

prune267.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

localize13.0ms

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)))

rewrite45.0ms

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×add-log-exp
3×prod-exp pow-sqr cbrt-unprod
2×pow2 unswap-sqr
1×associate-*l* pow3 *-commutative
Counts
4 → 100
Calls
4 calls:
35.0ms
(* (* (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)))

series979.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (* (cbrt (- (log (+ 1.0 (exp x))) (* x y))) (cbrt (- (log (+ 1.0 (exp x))) (* x y)))) (cbrt (- (log (+ 1.0 (exp x))) (* x y))))
312.0ms
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
303.0ms
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
308.0ms
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))

simplify66.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04442629
116092345
250012216

prune317.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.4b

regimes73.0ms

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
40.0ms196×body320valid
13.0ms95×body160valid