Details

Time bar (total: 8.4s)

sample36.0ms

Algorithm
intervals
Results
10.0ms233×body80nan
10.0ms260×body80valid

simplify178.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0216
1616
21926
36496
416026
527206
636676
743876
847116
949566
1050016

prune3.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
19×*-un-lft-identity
14×add-sqr-sqrt
12×log-prod
10×add-cube-cbrt
7×pow1
6×add-exp-log distribute-rgt-in distribute-lft-in diff-log add-cbrt-cube associate--r+
4×associate-*r* associate-*l* sum-log
3×sub-neg distribute-lft-out
2×associate-+l- associate-+l+ flip3-- flip3-+ associate-*l/ flip-- flip-+ distribute-lft-out--
1×+-commutative associate--l- pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 81
Calls
4 calls:
4.0ms
(- x (* (+ y 0.5) (log y)))
8.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
5.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
8.0ms
(* (+ y 0.5) (log y))

series435.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- x (* (+ y 0.5) (log y)))
68.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
52.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
268.0ms
(* (+ y 0.5) (log y))

simplify61.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0446640
11624599
25001591

prune247.0ms

Filtered
93 candidates to 69 candidates (74.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New87693
Fresh000
Picked011
Done000
Total87794

Merged error: 0.0b

Counts
94 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
49×distribute-rgt-in distribute-lft-in
48×log-prod
30×cbrt-prod
25×*-un-lft-identity
24×associate-+l+
23×add-sqr-sqrt add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×flip3-+ associate-*l/ flip-+ add-log-exp
4×associate-*r/ associate-*l* frac-add
3×pow-prod-down prod-exp cbrt-unprod
2×associate-+r+ pow1/3
1×+-commutative associate-*r* sum-log *-commutative distribute-lft-out
Counts
4 → 108
Calls
4 calls:
10.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
18.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
2.0ms
(cbrt y)
2.0ms
(cbrt y)

series1.9s

Counts
4 → 12
Calls
4 calls:
550.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
935.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
203.0ms
(cbrt y)
204.0ms
(cbrt y)

simplify94.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
06401101
12507971
25003939

prune403.0ms

Filtered
120 candidates to 91 candidates (75.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1182120
Fresh145
Picked101
Done011
Total1207127

Merged error: 0.0b

Counts
127 → 7

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (* (cbrt y) (cbrt y)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt (cbrt y))
5.0ms
(cbrt (* (cbrt y) (cbrt y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
223.0ms
(cbrt y)
211.0ms
(cbrt y)
285.0ms
(cbrt (cbrt y))
319.0ms
(cbrt (* (cbrt y) (cbrt y)))

simplify136.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 4 (131.0ms)

IterNodesCost
0106215
1236195
2753185
33141185
45001180

prune293.0ms

Filtered
57 candidates to 50 candidates (87.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New57057
Fresh055
Picked011
Done011
Total57764

Merged error: 0.0b

Counts
64 → 7

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
0.2b
(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
0.6b
(cbrt y)
5.1b
(pow y 1/3)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
7×pow1 add-exp-log
6×add-cbrt-cube add-log-exp
4×associate-*l*
3×cbrt-prod unpow-prod-down pow-unpow associate-*r*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-to-exp pow-pow unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp sum-log log-pow *-commutative cbrt-unprod unswap-sqr sqr-pow
Counts
4 → 65
Calls
4 calls:
8.0ms
(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
7.0ms
(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
2.0ms
(cbrt y)
3.0ms
(pow y 1/3)

series2.0s

Counts
4 → 12
Calls
4 calls:
1.0s
(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
536.0ms
(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
191.0ms
(cbrt y)
192.0ms
(pow y 1/3)

simplify80.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0391537
11772452
25002434

prune279.0ms

Filtered
77 candidates to 60 candidates (77.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New76177
Fresh134
Picked011
Done022
Total77784

Merged error: 0b

Counts
84 → 7

regimes203.0ms

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

sample913.0ms

Algorithm
intervals
Results
315.0ms8031×body80valid
250.0ms8012×body80nan
0.0ms1×body320valid