Details

Time bar (total: 4.7s)

sample40.0ms

Algorithm
intervals
Results
12.0ms292×body80valid
11.0ms319×body80nan

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1516
21046
31916
42626
53536
64666
77126
811106
912566
1012576
1112576

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: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b
(+ (- 1.0 z) (log z))
0.1b
(* y (+ (- 1.0 z) (log z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
pow1
add-sqr-sqrt distribute-lft-out add-log-exp
associate-*r*
add-cube-cbrt
add-exp-log associate-+r+ add-cbrt-cube
log-pow distribute-lft-out--
log-prod flip3-+ associate-*l* sum-log flip-+
+-commutative distribute-rgt-in associate-+l+ distribute-lft-in associate-*r/
associate-+l- sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 61
Calls
3 calls:
5.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
7.0ms
(+ (- 1.0 z) (log z))
13.0ms
(* y (+ (- 1.0 z) (log z)))

series300.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
169.0ms
(+ (- 1.0 z) (log z))
75.0ms
(* y (+ (- 1.0 z) (log z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0359419
11515371
25001370

prune144.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New64670
Fresh000
Picked011
Done000
Total64771

Merged error: 0b

Counts
71 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
0.5b
(cbrt (+ (- 1.0 z) (log z)))
0.5b
(cbrt (+ (- 1.0 z) (log z)))
0.5b
(cbrt (+ (- 1.0 z) (log z)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
143×*-un-lft-identity
93×cbrt-prod
60×distribute-lft-out
41×pow1
30×swap-sqr log-pow distribute-lft-out--
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
10×associate-*r* associate-*l*
flip3-+ pow1/3 flip-+
add-exp-log
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 131
Calls
4 calls:
22.0ms
(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
6.0ms
(cbrt (+ (- 1.0 z) (log z)))
6.0ms
(cbrt (+ (- 1.0 z) (log z)))
6.0ms
(cbrt (+ (- 1.0 z) (log z)))

series232.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
52.0ms
(cbrt (+ (- 1.0 z) (log z)))
59.0ms
(cbrt (+ (- 1.0 z) (log z)))
52.0ms
(cbrt (+ (- 1.0 z) (log z)))

simplify79.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06091962
123601884
250011654

prune346.0ms

Filtered
143 candidates to 75 candidates (52.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1430143
Fresh055
Picked011
Done011
Total1437150

Merged error: 0b

Counts
150 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series726.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt y) (cbrt y))
181.0ms
(cbrt y)
176.0ms
(cbrt y)
174.0ms
(cbrt y)

simplify90.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune224.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh134
Picked011
Done022
Total85792

Merged error: 0b

Counts
92 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (pow y 2)) (* (cbrt y) (+ (- 1.0 z) (log z))))
0.3b
(* (cbrt y) (+ (- 1.0 z) (log z)))
0.6b
(cbrt y)
29.9b
(cbrt (pow y 2))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
21×*-un-lft-identity
17×add-sqr-sqrt associate-*l*
13×pow1 add-cube-cbrt
11×add-exp-log
associate-*r*
add-cbrt-cube
unpow-prod-down associate-*r/
distribute-rgt-in distribute-lft-in
pow-prod-down prod-exp cbrt-unprod distribute-lft-out add-log-exp
flip3-+ pow1/3 log-pow *-commutative flip-+ distribute-lft-out-- unpow2 unswap-sqr sqr-pow
Counts
4 → 89
Calls
4 calls:
13.0ms
(* (cbrt (pow y 2)) (* (cbrt y) (+ (- 1.0 z) (log z))))
10.0ms
(* (cbrt y) (+ (- 1.0 z) (log z)))
1.0ms
(cbrt y)
2.0ms
(cbrt (pow y 2))

series617.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* (cbrt (pow y 2)) (* (cbrt y) (+ (- 1.0 z) (log z))))
167.0ms
(* (cbrt y) (+ (- 1.0 z) (log z)))
175.0ms
(cbrt y)
183.0ms
(cbrt (pow y 2))

simplify61.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0435694
11840611
25002595

prune258.0ms

Filtered
101 candidates to 71 candidates (70.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1001101
Fresh123
Picked101
Done033
Total1026108

Merged error: 0b

Counts
108 → 6

regimes210.0ms

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
0156
1156

end0.0ms

sample1.1s

Algorithm
intervals
Results
399.0ms9237×body80valid
326.0ms9329×body80nan