Details

Time bar (total: 3.8s)

sample32.0ms

Algorithm
intervals
Results
12.0ms275×body80valid
3.0ms9×body640valid
3.0ms4×body1280valid
2.0ms62×body80overflowed
1.0ms8×body320valid
0.0ms4×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (exp x))
0.0b
(- (log (+ 1.0 (exp x))) (* x y))
0.1b
(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:
3.0ms
(+ 1.0 (exp x))
5.0ms
(- (log (+ 1.0 (exp x))) (* x y))
3.0ms
(log (+ 1.0 (exp x)))

series120.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+ 1.0 (exp x))
54.0ms
(- (log (+ 1.0 (exp x))) (* x y))
59.0ms
(log (+ 1.0 (exp x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0207322
1584301
21729298
35001297

prune117.0ms

Filtered
54 candidates to 40 candidates (74.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New50454
Fresh000
Picked101
Done000
Total51455

Merged error: 0.1b

Counts
55 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp x) 3)
0.3b
(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.1b
(- (* (exp x) (exp x)) (* 1.0 (exp x)))
4.2b
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

rewrite29.0ms

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)))))

series250.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(pow (exp x) 3)
83.0ms
(log (+ (pow 1.0 3) (pow (exp x) 3)))
41.0ms
(- (* (exp x) (exp x)) (* 1.0 (exp x)))
104.0ms
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0363641
11502568
25001560

prune215.0ms

Filtered
85 candidates to 57 candidates (67.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh123
Picked011
Done000
Total85489

Merged error: 0.1b

Counts
89 → 4

localize31.0ms

Local error

Found 4 expressions with local error:

4.0b
(- (* (pow (exp x) 3) (pow (exp x) 3)) (* (pow 1.0 3) (pow (exp x) 3)))
4.1b
(- (* (exp x) (exp x)) (* 1.0 (exp x)))
4.2b
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))
4.3b
(log (+ (* (pow 1.0 3) (pow 1.0 3)) (- (* (pow (exp x) 3) (pow (exp x) 3)) (* (pow 1.0 3) (pow (exp x) 3)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
8×add-log-exp
6×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt log-prod *-un-lft-identity
4×log-div add-cbrt-cube
2×sub-neg flip3-- distribute-rgt-out-- flip3-+ diff-log rem-log-exp pow-prod-down log-pow flip-- flip-+
1×difference-cubes
Counts
4 → 55
Calls
4 calls:
9.0ms
(- (* (pow (exp x) 3) (pow (exp x) 3)) (* (pow 1.0 3) (pow (exp x) 3)))
6.0ms
(- (* (exp x) (exp x)) (* 1.0 (exp x)))
7.0ms
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))
13.0ms
(log (+ (* (pow 1.0 3) (pow 1.0 3)) (- (* (pow (exp x) 3) (pow (exp x) 3)) (* (pow 1.0 3) (pow (exp x) 3)))))

series397.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(- (* (pow (exp x) 3) (pow (exp x) 3)) (* (pow 1.0 3) (pow (exp x) 3)))
44.0ms
(- (* (exp x) (exp x)) (* 1.0 (exp x)))
109.0ms
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))
157.0ms
(log (+ (* (pow 1.0 3) (pow 1.0 3)) (- (* (pow (exp x) 3) (pow (exp x) 3)) (* (pow 1.0 3) (pow (exp x) 3)))))

simplify85.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
0399973
11780828
25001820

prune326.0ms

Filtered
67 candidates to 56 candidates (83.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New67067
Fresh022
Picked011
Done011
Total67471

Merged error: 0.1b

Counts
71 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (* x y) 3)
0.6b
(* (log (+ (exp x) 1.0)) (+ (log (+ 1.0 (exp x))) (* x y)))
0.7b
(pow (log (+ 1.0 (exp x))) 3)
12.5b
(/ (- (pow (log (+ 1.0 (exp x))) 3) (pow (* x y) 3)) (+ (* (log (+ (exp x) 1.0)) (+ (log (+ 1.0 (exp x))) (* x y))) (* (* x y) (* x y))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
39×times-frac
36×*-un-lft-identity
32×difference-of-squares
28×add-cube-cbrt
26×sqr-pow
13×pow1 unpow-prod-down cube-prod associate-/l*
12×add-exp-log add-cbrt-cube
6×pow-unpow
4×difference-cubes associate-*l* distribute-lft-out-- add-log-exp
3×pow-pow associate-*r* pow-exp associate-/r* log-pow rem-cube-cbrt
2×cube-mult pow-to-exp flip3-+ unpow3 associate-*r/ pow-prod-down prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/
1×cbrt-undiv distribute-rgt-in flip3-- frac-2neg distribute-lft-in div-sub div-exp clear-num *-commutative flip-- div-inv unswap-sqr
Counts
4 → 142
Calls
4 calls:
8.0ms
(pow (* x y) 3)
6.0ms
(* (log (+ (exp x) 1.0)) (+ (log (+ 1.0 (exp x))) (* x y)))
2.0ms
(pow (log (+ 1.0 (exp x))) 3)
17.0ms
(/ (- (pow (log (+ 1.0 (exp x))) 3) (pow (* x y) 3)) (+ (* (log (+ (exp x) 1.0)) (+ (log (+ 1.0 (exp x))) (* x y))) (* (* x y) (* x y))))

series520.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(pow (* x y) 3)
120.0ms
(* (log (+ (exp x) 1.0)) (+ (log (+ 1.0 (exp x))) (* x y)))
119.0ms
(pow (log (+ 1.0 (exp x))) 3)
230.0ms
(/ (- (pow (log (+ 1.0 (exp x))) 3) (pow (* x y) 3)) (+ (* (log (+ (exp x) 1.0)) (+ (log (+ 1.0 (exp x))) (* x y))) (* (* x y) (* x y))))

simplify138.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (113.0ms)

IterNodesCost
06643159
134573034
250012997

prune394.0ms

Filtered
154 candidates to 99 candidates (64.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1540154
Fresh011
Picked011
Done022
Total1544158

Merged error: 0.1b

Counts
158 → 4

regimes49.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03335
13335

end0.0ms

sample886.0ms

Algorithm
intervals
Results
398.0ms8432×body80valid
98.0ms2388×body80overflowed
77.0ms252×body640valid
70.0ms125×body1280valid
35.0ms186×body320valid
10.0ms87×body160valid

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