Details

Time bar (total: 8.5s)

sample174.0ms

Algorithm
intervals
Results
56.0ms846×body80nan
23.0ms304×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03811
110111
242811
3151411
4462011
5500111

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (log y)) z)
0.0b
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.1b
(* (- b 0.5) (log c))
0.2b
(* x (log y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
22×add-sqr-sqrt
20×add-log-exp
18×*-un-lft-identity
16×add-cube-cbrt
12×distribute-rgt-in distribute-lft-in
11×sum-log
10×pow1
8×add-exp-log associate-*r* associate-*l* add-cbrt-cube
7×associate-+l+
6×associate-+r+ associate-*l/
4×flip3-+ frac-add flip-+
3×flip3-- flip--
2×+-commutative pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
5.0ms
(+ (* x (log y)) z)
13.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
7.0ms
(* (- b 0.5) (log c))
5.0ms
(* x (log y))

series91.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ (* x (log y)) z)
64.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
9.0ms
(* (- b 0.5) (log c))
7.0ms
(* x (log y))

simplify65.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0665888
12567831
25003785

prune163.0ms

Filtered
74 candidates to 108 candidates (-45.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1026108
Fresh000
Picked101
Done000
Total1036109

Merged error: 0.0b

Counts
109 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
10.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series84.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* x (log (cbrt y)))
23.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
21.0ms
(cbrt y)
21.0ms
(cbrt y)

simplify47.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0362765
11356673
25002593

prune175.0ms

Filtered
87 candidates to 114 candidates (-31.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1131114
Fresh055
Picked011
Done000
Total1137120

Merged error: 0.0b

Counts
120 → 7

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
5.0b
(pow y 1/3)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
52×log-prod
40×distribute-rgt-in distribute-lft-in
28×associate-+l+
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
15×cbrt-prod unpow-prod-down
12×associate-+r+
8×pow1
7×add-exp-log
6×add-cbrt-cube add-log-exp
5×associate-*r* sqr-pow
3×pow-unpow associate-*l*
2×pow1/3 log-pow
1×+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow-prod-down pow-exp prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 113
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
11.0ms
(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series90.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (log (cbrt y)))
30.0ms
(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
21.0ms
(cbrt y)
19.0ms
(pow y 1/3)

simplify66.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0492803
11911693
25001507

prune230.0ms

Filtered
90 candidates to 125 candidates (-38.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh055
Picked011
Done011
Total1257132

Merged error: 0.0b

Counts
132 → 7

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log y))
0.3b
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.5b
(cbrt c)
0.5b
(cbrt c)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
42×log-prod
33×distribute-rgt-in distribute-lft-in
24×cbrt-prod add-sqr-sqrt associate-+l+
22×add-cube-cbrt *-un-lft-identity
12×associate-+r+
8×associate-*l/
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
4×flip3-- associate-*r* frac-add flip--
3×associate-*l*
2×pow1/3
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 99
Calls
4 calls:
4.0ms
(* x (log y))
13.0ms
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms
(cbrt c)
1.0ms
(cbrt c)

series85.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* x (log y))
37.0ms
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
21.0ms
(cbrt c)
21.0ms
(cbrt c)

simplify58.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0580891
12054779
25001735

prune149.0ms

Filtered
91 candidates to 111 candidates (-22.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh044
Picked011
Done022
Total1117118

Merged error: 0.0b

Counts
118 → 7

regimes1.3s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03917
13917

end0.0ms

sample5.4s

Algorithm
intervals
Results
1.9s28023×body80nan
722.0ms9296×body80valid
1.0ms3×body640valid
0.0ms1×body320valid
0.0ms1×body160valid

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