Details

Time bar (total: 3.6s)

sample43.0ms

Algorithm
intervals
Results
13.0ms292×body80valid
9.0ms254×body80nan

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
036812
136812

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- 1.0 z) (log z))
0.0b
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.2b
(* y (+ (- 1.0 z) (log z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
9×pow1
8×add-sqr-sqrt distribute-lft-out add-log-exp
7×associate-*r*
6×add-cube-cbrt
5×add-exp-log associate-+r+ add-cbrt-cube
4×log-pow distribute-lft-out--
3×log-prod flip3-+ associate-*l* sum-log flip-+
2×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in associate-*r/
1×associate-+l- sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 61
Calls
3 calls:
7.0ms
(+ (- 1.0 z) (log z))
5.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
9.0ms
(* y (+ (- 1.0 z) (log z)))

series44.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ (- 1.0 z) (log z))
14.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
15.0ms
(* y (+ (- 1.0 z) (log z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05021706

prune94.0ms

Filtered
48 candidates to 70 candidates (-45.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New64670
Fresh000
Picked011
Done000
Total64771

Merged error: 0.0b

Counts
71 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* y (+ 1.0 (- (log z) z)))) (cbrt (* y (+ 1.0 (- (log z) z)))))
0.6b
(cbrt (* y (+ 1.0 (- (log z) z))))
0.6b
(cbrt (* y (+ 1.0 (- (log z) z))))
0.6b
(cbrt (* y (+ 1.0 (- (log z) z))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* y (+ 1.0 (- (log z) z)))) (cbrt (* y (+ 1.0 (- (log z) z)))))
7.0ms
(cbrt (* y (+ 1.0 (- (log z) z))))
7.0ms
(cbrt (* y (+ 1.0 (- (log z) z))))
7.0ms
(cbrt (* y (+ 1.0 (- (log z) z))))

series176.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (cbrt (* y (+ 1.0 (- (log z) z)))) (cbrt (* y (+ 1.0 (- (log z) z)))))
37.0ms
(cbrt (* y (+ 1.0 (- (log z) z))))
36.0ms
(cbrt (* y (+ 1.0 (- (log z) z))))
37.0ms
(cbrt (* y (+ 1.0 (- (log z) z))))

simplify58.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049773548
149773548

prune364.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh055
Picked011
Done011
Total83891

Merged error: 0b

Counts
91 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ 1.0 (- (log z) z)))
0.6b
(cbrt y)
0.6b
(cbrt (* y (+ 1.0 (- (log z) z))))
0.6b
(cbrt (* y (+ 1.0 (- (log z) z))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
11×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt cbrt-div
5×pow1
4×add-exp-log pow1/3 associate-*r/ add-cbrt-cube add-log-exp
3×flip3-+ flip-+ distribute-lft-out
2×distribute-lft-out--
1×log-pow
Counts
4 → 49
Calls
4 calls:
5.0ms
(cbrt (+ 1.0 (- (log z) z)))
1.0ms
(cbrt y)
7.0ms
(cbrt (* y (+ 1.0 (- (log z) z))))
7.0ms
(cbrt (* y (+ 1.0 (- (log z) z))))

series110.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(cbrt (+ 1.0 (- (log z) z)))
23.0ms
(cbrt y)
35.0ms
(cbrt (* y (+ 1.0 (- (log z) z))))
38.0ms
(cbrt (* y (+ 1.0 (- (log z) z))))

simplify32.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
054551683

prune215.0ms

Filtered
53 candidates to 61 candidates (-15.1%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New61061
Fresh055
Picked011
Done022
Total61869

Merged error: 0b

Counts
69 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ 1.0 (- (log z) z))) (cbrt (+ 1.0 (- (log z) z))))
0.6b
(cbrt (+ 1.0 (- (log z) z)))
0.6b
(cbrt (+ 1.0 (- (log z) z)))
0.6b
(cbrt (+ (- 1.0 z) (log z)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
113×*-un-lft-identity
71×cbrt-prod
40×distribute-lft-out
26×distribute-lft-out--
25×pow1
23×add-sqr-sqrt
21×swap-sqr
18×cbrt-div
15×add-cube-cbrt
14×log-pow
9×flip3-+ pow1/3 associate-*r* associate-*l* flip-+
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 118
Calls
4 calls:
20.0ms
(* (cbrt (+ 1.0 (- (log z) z))) (cbrt (+ 1.0 (- (log z) z))))
5.0ms
(cbrt (+ 1.0 (- (log z) z)))
6.0ms
(cbrt (+ 1.0 (- (log z) z)))
6.0ms
(cbrt (+ (- 1.0 z) (log z)))

series72.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (cbrt (+ 1.0 (- (log z) z))) (cbrt (+ 1.0 (- (log z) z))))
13.0ms
(cbrt (+ 1.0 (- (log z) z)))
13.0ms
(cbrt (+ 1.0 (- (log z) z)))
14.0ms
(cbrt (+ (- 1.0 z) (log z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
050773391

prune334.0ms

Filtered
81 candidates to 130 candidates (-60.5%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1300130
Fresh044
Picked011
Done033
Total1308138

Merged error: 0b

Counts
138 → 8

regimes468.0ms

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
01512
11512

end0.0ms

sample1.3s

Algorithm
intervals
Results
401.0ms9170×body80valid
331.0ms9331×body80nan

Profiling

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