Details

Time bar (total: 2.0s)

sample36.0ms

Algorithm
intervals
Results
11.0ms261×body80valid
3.0ms5×body1280valid
3.0ms83×body80overflowed
2.0ms8×body640valid
2.0ms11×body320valid
1.0ms6×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1195
2195

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize8.0ms

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)))

rewrite18.0ms

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))
10.0ms
(- (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)))

simplify50.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0207322
1584301
21729298
35001297

prune82.0ms

Filtered
40 candidates to 54 candidates (-35.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New51354
Fresh000
Picked101
Done000
Total52355

Merged error: 0b

Counts
55 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (* (cbrt (log (+ 1.0 (exp x)))) (cbrt (log (+ 1.0 (exp x))))) (cbrt (log (+ 1.0 (exp x)))))
1.1b
(cbrt (log (+ 1.0 (exp x))))
1.1b
(cbrt (log (+ 1.0 (exp x))))
1.1b
(cbrt (log (+ 1.0 (exp x))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
27×pow1
17×cbrt-prod
12×pow1/3
11×add-sqr-sqrt
9×add-exp-log add-cube-cbrt *-un-lft-identity pow-prod-up
7×associate-*r*
6×pow-plus
5×pow-prod-down add-cbrt-cube
4×log-pow add-log-exp
3×prod-exp pow-sqr cbrt-unprod
2×pow2 unswap-sqr
1×associate-*l* pow3 *-commutative
Counts
4 → 72
Calls
4 calls:
8.0ms
(* (* (cbrt (log (+ 1.0 (exp x)))) (cbrt (log (+ 1.0 (exp x))))) (cbrt (log (+ 1.0 (exp x)))))
1.0ms
(cbrt (log (+ 1.0 (exp x))))
1.0ms
(cbrt (log (+ 1.0 (exp x))))
1.0ms
(cbrt (log (+ 1.0 (exp x))))

series94.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (* (cbrt (log (+ 1.0 (exp x)))) (cbrt (log (+ 1.0 (exp x))))) (cbrt (log (+ 1.0 (exp x)))))
30.0ms
(cbrt (log (+ 1.0 (exp x))))
27.0ms
(cbrt (log (+ 1.0 (exp x))))
27.0ms
(cbrt (log (+ 1.0 (exp x))))

simplify43.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0221806
1934632
25002520

prune176.0ms

Filtered
62 candidates to 84 candidates (-35.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New84084
Fresh022
Picked011
Done000
Total84387

Merged error: 0b

Counts
87 → 3

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))
0.0b
(- (+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x)) (* x y))
0.0b
(+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×add-log-exp
7×sum-log
4×add-sqr-sqrt add-cube-cbrt associate-+l+ associate-+r+ *-un-lft-identity
3×pow1 add-exp-log sub-neg log-prod diff-log add-cbrt-cube
2×+-commutative distribute-rgt-in distribute-lft-in flip3-+ flip-+
1×flip3-- associate--l+ flip--
Counts
3 → 46
Calls
3 calls:
4.0ms
(+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))
8.0ms
(- (+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x)) (* x y))
6.0ms
(+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x))

series44.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))
11.0ms
(- (+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x)) (* x y))
6.0ms
(+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x))

simplify40.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0271625
11051590
25002570

prune115.0ms

Filtered
41 candidates to 55 candidates (-34.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New55055
Fresh011
Picked011
Done011
Total55358

Merged error: 0b

Counts
58 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (exp x))
0.0b
(exp (* x y))
2.3b
(log (/ (+ 1.0 (exp x)) (exp (* x y))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
16×log-prod
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
7×add-log-exp
5×add-exp-log
4×pow1 distribute-lft-out
3×add-cbrt-cube
2×rem-log-exp
1×+-commutative log-div exp-prod exp-to-pow flip3-+ div-exp sum-log log-pow flip-+ div-inv rem-exp-log
Counts
3 → 49
Calls
3 calls:
3.0ms
(+ 1.0 (exp x))
2.0ms
(exp (* x y))
5.0ms
(log (/ (+ 1.0 (exp x)) (exp (* x y))))

series19.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(+ 1.0 (exp x))
4.0ms
(exp (* x y))
14.0ms
(log (/ (+ 1.0 (exp x)) (exp (* x y))))

simplify52.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0225418
1577386
21805370
35001365

prune63.0ms

Filtered
41 candidates to 58 candidates (-41.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New58058
Fresh000
Picked011
Done022
Total58361

Merged error: 0b

Counts
61 → 3

regimes79.0ms

Accuracy

88.9% (0.1b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 1.6b

bsearch20.0ms

Steps
ItersRangePoint
9
-1.8893822334989312
-9.98236031775492e-06
-0.000534342795217937

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03627
13627

end0.0ms

sample961.0ms

Algorithm
intervals
Results
378.0ms8418×body80valid
96.0ms2438×body80overflowed
74.0ms251×body640valid
64.0ms118×body1280valid
33.0ms166×body320valid
11.0ms106×body160valid

Profiling

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