Details

Time bar (total: 3.9s)

sample36.0ms

Algorithm
intervals
Results
15.0ms265×body80valid
3.0ms78×body80overflowed
2.0ms8×body640valid
1.0ms8×body320valid
1.0ms2×body1280valid
1.0ms5×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0125
1195
2195

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.8b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (log (+ 1.0 (exp x))) (* x y))
0.8b
(log (+ 1.0 (exp x)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
8×log-prod *-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt log-div associate--l+
3×pow1 add-exp-log add-log-exp
2×associate--l- flip3-+ add-cbrt-cube flip-+ distribute-lft-out
1×sub-neg flip3-- diff-log rem-log-exp log-pow flip--
Counts
2 → 33
Calls
2 calls:
6.0ms
(- (log (+ 1.0 (exp x))) (* x y))
3.0ms
(log (+ 1.0 (exp x)))

series125.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(- (log (+ 1.0 (exp x))) (* x y))
68.0ms
(log (+ 1.0 (exp x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0180262
1479246
21456243
35001242

prune96.0ms

Filtered
39 candidates to 30 candidates (76.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New34539
Fresh000
Picked101
Done000
Total35540

Merged error: 0.2b

Counts
40 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp x) 3)
0.8b
(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.4b
(- (* (exp x) (exp x)) (* 1.0 (exp x)))
4.5b
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×log-prod
10×add-sqr-sqrt add-cube-cbrt
7×pow1 unpow-prod-down cube-prod
6×add-exp-log add-log-exp
5×add-cbrt-cube distribute-lft-out
4×log-div pow-pow
3×pow-unpow exp-prod
2×flip3-+ rem-log-exp log-pow flip-+
1×cube-mult pow-to-exp sub-neg flip3-- distribute-rgt-out-- diff-log unpow3 pow-exp sum-cubes flip-- rem-cube-cbrt sqr-pow
Counts
4 → 73
Calls
4 calls:
3.0ms
(pow (exp x) 3)
10.0ms
(log (+ (pow 1.0 3) (pow (exp x) 3)))
6.0ms
(- (* (exp x) (exp x)) (* 1.0 (exp x)))
8.0ms
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

series290.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(pow (exp x) 3)
95.0ms
(log (+ (pow 1.0 3) (pow (exp x) 3)))
44.0ms
(- (* (exp x) (exp x)) (* 1.0 (exp x)))
117.0ms
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0363641
11502568
25001560

prune250.0ms

Filtered
85 candidates to 57 candidates (67.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done000
Total85590

Merged error: 0.2b

Counts
90 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b
(log (+ 1.0 (exp x)))
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)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt
6×cbrt-div
5×pow1 add-exp-log
4×log-prod add-cbrt-cube add-log-exp
3×flip3-- pow1/3 flip--
2×log-div
1×flip3-+ rem-log-exp log-pow flip-+ distribute-lft-out
Counts
4 → 54
Calls
4 calls:
3.0ms
(log (+ 1.0 (exp x)))
3.0ms
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
3.0ms
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
3.0ms
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
59.0ms
(log (+ 1.0 (exp x)))
314.0ms
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
311.0ms
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
318.0ms
(cbrt (- (log (+ 1.0 (exp x))) (* x y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0335921
11197877
25002855

prune233.0ms

Filtered
66 candidates to 59 candidates (89.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New66066
Fresh033
Picked011
Done011
Total66571

Merged error: 0.2b

Counts
71 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log (+ (exp x) 1.0)) (* x y))
0.6b
(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
0.8b
(log (+ (exp x) 1.0))
16.0b
(cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
12×cbrt-prod add-sqr-sqrt add-cube-cbrt
8×log-prod
6×pow1 add-exp-log unpow-prod-down cube-prod
5×add-cbrt-cube add-log-exp
4×cube-div log-div associate--l+
3×pow-unpow flip3-- flip--
2×associate--l- cube-mult cbrt-div flip3-+ unpow3 flip-+ distribute-lft-out sqr-pow
1×pow-to-exp sub-neg pow-pow pow1/3 diff-log rem-log-exp pow-exp log-pow rem-cbrt-cube rem-cube-cbrt
Counts
4 → 81
Calls
4 calls:
7.0ms
(- (log (+ (exp x) 1.0)) (* x y))
4.0ms
(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
4.0ms
(log (+ (exp x) 1.0))
4.0ms
(cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

series319.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- (log (+ (exp x) 1.0)) (* x y))
131.0ms
(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
65.0ms
(log (+ (exp x) 1.0))
62.0ms
(cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

simplify45.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0362798
11354753
25001741

prune189.0ms

Filtered
93 candidates to 58 candidates (62.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New92193
Fresh022
Picked011
Done022
Total92698

Merged error: 0.2b

Counts
98 → 6

regimes112.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02217
12217

end0.0ms

sample887.0ms

Algorithm
intervals
Results
382.0ms8435×body80valid
95.0ms2435×body80overflowed
70.0ms123×body1280valid
69.0ms228×body640valid
36.0ms201×body320valid
13.0ms122×body160valid

Profiling

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