Details

Time bar (total: 3.4s)

sample40.0ms

Algorithm
intervals
Results
13.0ms276×body80valid
3.0ms70×body80overflowed
2.0ms7×body640valid
2.0ms3×body1280valid
1.0ms3×body320valid
0.0ms2×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1195
2195

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

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))
0.3b
(log (+ 1.0 (exp x)))

rewrite13.0ms

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))
6.0ms
(- (log (+ 1.0 (exp x))) (* x y))
3.0ms
(log (+ 1.0 (exp x)))

series22.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(+ 1.0 (exp x))
9.0ms
(- (log (+ 1.0 (exp x))) (* x y))
11.0ms
(log (+ 1.0 (exp x)))

simplify49.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0207322
1584301
21729298
35001297

prune161.0ms

Filtered
54 candidates to 40 candidates (25.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New50454
Fresh000
Picked101
Done000
Total51455

Merged error: 0.2b

Counts
55 → 4

localize17.0ms

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)))
3.6b
(- (* (exp x) (exp x)) (* 1.0 (exp x)))
3.7b
(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)))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(pow (exp x) 3)
16.0ms
(log (+ (pow 1.0 3) (pow (exp x) 3)))
6.0ms
(- (* (exp x) (exp x)) (* 1.0 (exp x)))
22.0ms
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0363641
11502568
25001560

prune521.0ms

Filtered
85 candidates to 57 candidates (32.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New84185
Fresh033
Picked101
Done000
Total85489

Merged error: 0.2b

Counts
89 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (pow (log (+ (pow 1.0 3) (pow (exp x) 3))) 3))
0.7b
(pow (log (+ (pow 1.0 3) (pow (exp x) 3))) 3)
3.6b
(- (* (exp x) (exp x)) (* 1.0 (exp x)))
3.7b
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1
8×unpow-prod-down cube-prod
6×add-exp-log add-log-exp
5×log-pow add-cbrt-cube
3×pow-unpow log-prod
2×cube-mult log-div unpow3 sqr-pow
1×pow-to-exp sub-neg flip3-- distribute-rgt-out-- pow-pow flip3-+ pow1/3 diff-log rem-log-exp pow-exp flip-- rem-cbrt-cube flip-+ rem-cube-cbrt
Counts
4 → 75
Calls
4 calls:
2.0ms
(cbrt (pow (log (+ (pow 1.0 3) (pow (exp x) 3))) 3))
3.0ms
(pow (log (+ (pow 1.0 3) (pow (exp x) 3))) 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)))))

series65.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(cbrt (pow (log (+ (pow 1.0 3) (pow (exp x) 3))) 3))
23.0ms
(pow (log (+ (pow 1.0 3) (pow (exp x) 3))) 3)
6.0ms
(- (* (exp x) (exp x)) (* 1.0 (exp x)))
20.0ms
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0377862
11376775
25002758

prune409.0ms

Filtered
87 candidates to 53 candidates (39.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New87087
Fresh033
Picked011
Done000
Total87491

Merged error: 0.2b

Counts
91 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
14×log-prod
12×sqrt-prod
10×add-sqr-sqrt sqrt-div
9×pow1 add-cube-cbrt
8×log-div
7×add-log-exp
6×add-exp-log log-pow
5×flip3-+ flip-+
4×associate--l- add-cbrt-cube
3×sqrt-pow1 pow1/2 distribute-lft-out
2×associate-+l- associate-+r- diff-log rem-log-exp
1×sub-neg rem-sqrt-square flip3-- associate--l+ sum-log flip--
Counts
4 → 74
Calls
4 calls:
3.0ms
(sqrt (+ 1.0 (exp x)))
14.0ms
(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
4.0ms
(log (sqrt (+ 1.0 (exp x))))
4.0ms
(log (sqrt (+ 1.0 (exp x))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (+ 1.0 (exp x)))
15.0ms
(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
13.0ms
(log (sqrt (+ 1.0 (exp x))))
13.0ms
(log (sqrt (+ 1.0 (exp x))))

simplify109.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0279765
1942663
23612627
35001617

prune544.0ms

Filtered
86 candidates to 64 candidates (25.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New85186
Fresh022
Picked101
Done011
Total86490

Merged error: 0.2b

Counts
90 → 4

regimes146.0ms

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
02419
12419

end0.0ms

sample949.0ms

Algorithm
intervals
Results
364.0ms8412×body80valid
88.0ms2401×body80overflowed
77.0ms263×body640valid
67.0ms125×body1280valid
32.0ms178×body320valid
11.0ms104×body160valid

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