Details

Time bar (total: 4.0s)

sample54.0ms

Algorithm
intervals
Results
28.0ms71×body10240exit
12.0ms271×body80valid
2.0ms6×body640valid
1.0ms9×body320valid
1.0ms1×body1280valid
0.0ms2×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: 0.5b

Counts
2 → 1

localize8.0ms

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)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
10×add-sqr-sqrt
8×log-prod add-log-exp
6×pow1
5×add-cube-cbrt
4×add-exp-log log-div associate--l+ distribute-lft-out--
3×flip3-+ log-pow add-cbrt-cube flip-+ distribute-lft-out
2×associate--l- diff-log associate-*l* difference-of-squares
1×+-commutative sub-neg flip3-- rem-log-exp sum-log flip-- unswap-sqr
Counts
3 → 52
Calls
3 calls:
9.0ms
(- (log (+ 1.0 (exp x))) (* x y))
3.0ms
(+ 1.0 (exp x))
3.0ms
(log (+ 1.0 (exp x)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- (log (+ 1.0 (exp x))) (* x y))
8.0ms
(+ 1.0 (exp x))
63.0ms
(log (+ 1.0 (exp x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0216377
1579356
21597353
35001352

prune106.0ms

Filtered
61 candidates to 43 candidates (70.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New56561
Fresh000
Picked101
Done000
Total57562

Merged error: 0.2b

Counts
62 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp x))
0.5b
(log (+ 1.0 (exp x)))
0.7b
(pow (log (+ 1.0 (exp x))) 3)
0.7b
(cbrt (pow (log (+ 1.0 (exp x))) 3))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
9×cbrt-prod add-sqr-sqrt add-cube-cbrt
8×pow1 unpow-prod-down
6×add-exp-log add-log-exp
5×add-cbrt-cube
4×pow-unpow log-prod
3×log-pow
2×log-div flip3-+ unpow3 rem-cbrt-cube flip-+ distribute-lft-out sqr-pow
1×+-commutative pow-to-exp pow-pow pow1/3 rem-log-exp pow-exp sum-log rem-cube-cbrt
Counts
4 → 66
Calls
4 calls:
3.0ms
(+ 1.0 (exp x))
3.0ms
(log (+ 1.0 (exp x)))
2.0ms
(pow (log (+ 1.0 (exp x))) 3)
2.0ms
(cbrt (pow (log (+ 1.0 (exp x))) 3))

series253.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+ 1.0 (exp x))
64.0ms
(log (+ 1.0 (exp x)))
120.0ms
(pow (log (+ 1.0 (exp x))) 3)
61.0ms
(cbrt (pow (log (+ 1.0 (exp x))) 3))

simplify151.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0252430
1898401
24100391
35002391

prune134.0ms

Filtered
78 candidates to 45 candidates (57.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New75378
Fresh404
Picked101
Done000
Total80383

Merged error: 0.2b

Counts
83 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (log (log (+ 1.0 (exp x)))))
0.0b
(+ 1.0 (exp x))
0.0b
(log (log (+ 1.0 (exp x))))
0.5b
(log (+ 1.0 (exp x)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×log-prod *-un-lft-identity
9×pow1
8×add-sqr-sqrt add-cube-cbrt
7×add-log-exp
6×add-exp-log
5×log-pow
4×exp-prod exp-sum add-cbrt-cube
2×log-div flip3-+ rem-log-exp flip-+ rem-exp-log distribute-lft-out
1×+-commutative sum-log
Counts
4 → 57
Calls
4 calls:
2.0ms
(exp (log (log (+ 1.0 (exp x)))))
3.0ms
(+ 1.0 (exp x))
1.0ms
(log (log (+ 1.0 (exp x))))
3.0ms
(log (+ 1.0 (exp x)))

series272.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(exp (log (log (+ 1.0 (exp x)))))
11.0ms
(+ 1.0 (exp x))
135.0ms
(log (log (+ 1.0 (exp x))))
65.0ms
(log (+ 1.0 (exp x)))

simplify52.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0200388
1553349
21729338
35001326

prune130.0ms

Filtered
69 candidates to 44 candidates (63.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New69069
Fresh022
Picked011
Done000
Total69372

Merged error: 0.2b

Counts
72 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (sqrt (pow (log (+ 1.0 (exp x))) 3)))
0.7b
(pow (log (+ 1.0 (exp x))) 3)
0.7b
(pow (log (+ 1.0 (exp x))) 3)
0.7b
(* (cbrt (sqrt (pow (log (+ 1.0 (exp x))) 3))) (cbrt (sqrt (pow (log (+ 1.0 (exp x))) 3))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
108×cbrt-prod
81×sqrt-prod
71×add-sqr-sqrt
42×unpow-prod-down
29×*-un-lft-identity
27×add-cube-cbrt
25×unswap-sqr
22×pow1
19×swap-sqr
17×sqr-pow
15×associate-*r* associate-*l*
10×add-cbrt-cube
9×log-pow
8×add-exp-log
7×pow1/3 unpow3
6×pow-unpow
4×cbrt-unprod add-log-exp
2×pow-to-exp pow-pow pow-prod-down pow-exp pow-sqr pow-prod-up rem-cube-cbrt
1×pow2 pow-plus prod-exp *-commutative
Counts
4 → 155
Calls
4 calls:
4.0ms
(cbrt (sqrt (pow (log (+ 1.0 (exp x))) 3)))
2.0ms
(pow (log (+ 1.0 (exp x))) 3)
4.0ms
(pow (log (+ 1.0 (exp x))) 3)
13.0ms
(* (cbrt (sqrt (pow (log (+ 1.0 (exp x))) 3))) (cbrt (sqrt (pow (log (+ 1.0 (exp x))) 3))))

series428.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(cbrt (sqrt (pow (log (+ 1.0 (exp x))) 3)))
130.0ms
(pow (log (+ 1.0 (exp x))) 3)
131.0ms
(pow (log (+ 1.0 (exp x))) 3)
61.0ms
(* (cbrt (sqrt (pow (log (+ 1.0 (exp x))) 3))) (cbrt (sqrt (pow (log (+ 1.0 (exp x))) 3))))

simplify60.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
03482415
112912231
250022025

prune295.0ms

Filtered
167 candidates to 80 candidates (47.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1670167
Fresh011
Picked011
Done011
Total1673170

Merged error: 0.2b

Counts
170 → 3

regimes39.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1127

end0.0ms

sample1.7s

Algorithm
intervals
Results
988.0ms2424×body10240exit
314.0ms8334×body80valid
76.0ms277×body640valid
63.0ms126×body1280valid
30.0ms190×body320valid
9.0ms96×body160valid