Details

Time bar (total: 2.8s)

sample34.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
5.0ms151×body80nan

simplify145.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0216
1616
21926
36496
416026
527206
636676
743876
847116
949386
1050026

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (+ y 0.5) (log y)))
0.1b
(+ (- x (* (+ y 0.5) (log y))) y)
0.1b
(* (+ y 0.5) (log y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×log-prod
11×add-sqr-sqrt
10×add-log-exp
9×add-cube-cbrt
6×pow1 distribute-rgt-in distribute-lft-in associate--r+
5×add-exp-log add-cbrt-cube
4×associate-*r* associate-*l*
2×sub-neg associate-+l+ flip3-+ diff-log associate-*l/ sum-log flip-+ distribute-lft-out
1×+-commutative associate-+l- flip3-- pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 62
Calls
3 calls:
3.0ms
(- x (* (+ y 0.5) (log y)))
5.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms
(* (+ y 0.5) (log y))

series44.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- x (* (+ y 0.5) (log y)))
11.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
24.0ms
(* (+ y 0.5) (log y))

simplify39.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0388492
11420429
25002404

prune96.0ms

Filtered
51 candidates to 71 candidates (-39.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New65671
Fresh000
Picked011
Done000
Total65772

Merged error: 0.0b

Counts
72 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
0.1b
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
0.3b
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
0.4b
(* (sqrt (+ y 0.5)) (log y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
30×log-prod
27×distribute-rgt-in distribute-lft-in
25×*-un-lft-identity
23×add-sqr-sqrt
19×add-cube-cbrt
14×sqrt-div associate-*l*
12×pow1 associate--r+
11×add-exp-log add-cbrt-cube add-log-exp
10×associate-*l/
9×sqrt-prod
8×flip3-+ flip-+
5×associate-*r*
4×frac-times pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×sub-neg associate-+l+ diff-log associate-*r/ sum-log *-commutative unswap-sqr
1×+-commutative associate-+l- flip3-- log-pow flip--
Counts
4 → 114
Calls
4 calls:
4.0ms
(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
5.0ms
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
11.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
8.0ms
(* (sqrt (+ y 0.5)) (log y))

series55.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
11.0ms
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
20.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
14.0ms
(* (sqrt (+ y 0.5)) (log y))

simplify74.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
07741257
129521080
250021038

prune186.0ms

Filtered
88 candidates to 126 candidates (-43.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1251126
Fresh325
Picked011
Done011
Total1285133

Merged error: 0.0b

Counts
133 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (log y)) (cbrt (log y)))
0.5b
(cbrt (log y))
0.5b
(cbrt (log y))
0.5b
(cbrt (log y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
23×add-sqr-sqrt
20×pow1
17×*-un-lft-identity
15×add-cube-cbrt
9×pow1/3 swap-sqr log-pow
7×associate-*r* associate-*l*
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt (log y)) (cbrt (log y)))
1.0ms
(cbrt (log y))
1.0ms
(cbrt (log y))
1.0ms
(cbrt (log y))

series149.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (cbrt (log y)) (cbrt (log y)))
35.0ms
(cbrt (log y))
37.0ms
(cbrt (log y))
35.0ms
(cbrt (log y))

simplify60.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0127502
1388461
21756389
35001367

prune78.0ms

Filtered
52 candidates to 93 candidates (-78.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New92193
Fresh022
Picked011
Done022
Total92698

Merged error: 0b

Counts
98 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (+ y 0.5) (cbrt (pow (log y) 2))) (cbrt (log y)))
0.5b
(cbrt (pow (log y) 2))
0.5b
(pow (log y) 2)
0.5b
(cbrt (log y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×cbrt-prod
14×pow1
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×add-exp-log
8×unpow-prod-down
7×associate-*r*
6×add-cbrt-cube
4×associate-*l/ log-pow add-log-exp
3×pow-unpow pow-prod-down prod-exp cbrt-unprod
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow flip3-+ associate-*l* pow-exp *-commutative flip-+
Counts
4 → 72
Calls
4 calls:
10.0ms
(* (* (+ y 0.5) (cbrt (pow (log y) 2))) (cbrt (log y)))
2.0ms
(cbrt (pow (log y) 2))
2.0ms
(pow (log y) 2)
1.0ms
(cbrt (log y))

series286.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (* (+ y 0.5) (cbrt (pow (log y) 2))) (cbrt (log y)))
217.0ms
(cbrt (pow (log y) 2))
14.0ms
(pow (log y) 2)
34.0ms
(cbrt (log y))

simplify39.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0330522
11220452
25002398

prune91.0ms

Filtered
46 candidates to 84 candidates (-82.6%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New84084
Fresh022
Picked011
Done033
Total84690

Merged error: 0b

Counts
90 → 6

regimes297.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136
1136

end0.0ms

sample969.0ms

Algorithm
intervals
Results
359.0ms8045×body80valid
198.0ms5411×body80nan
0.0ms1×body640valid

Profiling

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