Details

Time bar (total: 9.0s)

sample192.0ms

Algorithm
intervals
Results
66.0ms936×body80nan
23.0ms305×body80valid

simplify71.0ms

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

localize17.0ms

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

rewrite34.0ms

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)))
6.0ms
(* (- b 0.5) (log c))
4.0ms
(* x (log y))

series95.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(+ (* x (log y)) z)
66.0ms
(+ (+ (+ (+ (* 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 (56.0ms)

IterNodesCost
0665888
12567831
25003785

prune178.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1008108
Fresh000
Picked101
Done000
Total1018109

Merged error: 0.0b

Counts
109 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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)

series87.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* x (log (cbrt y)))
21.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
22.0ms
(cbrt y)
24.0ms
(cbrt y)

simplify48.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0362765
11356673
25002593

prune217.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1104114
Fresh077
Picked101
Done000
Total11111122

Merged error: 0.0b

Counts
122 → 11

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (pow y 1/3)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
0.6b
(cbrt y)
4.9b
(pow y 1/3)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
52×log-prod
38×distribute-rgt-in distribute-lft-in
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
24×associate-+l+
15×cbrt-prod unpow-prod-down
14×associate-+r+
7×pow1 add-exp-log
6×add-cbrt-cube add-log-exp
5×sqr-pow
4×associate-*r*
3×pow-unpow associate-*l*
1×+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 112
Calls
4 calls:
5.0ms
(* x (log (pow y 1/3)))
10.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series91.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* x (log (pow y 1/3)))
28.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
26.0ms
(cbrt y)
20.0ms
(pow y 1/3)

simplify64.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0460798
11882686
25002512

prune262.0ms

Filtered
90 candidates to 124 candidates (-37.8%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1231124
Fresh1910
Picked011
Done000
Total12411135

Merged error: 0.0b

Counts
135 → 11

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
37×distribute-rgt-in distribute-lft-in
36×associate-+l+ log-prod
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×sqrt-prod
6×add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
2×associate-+r+
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
4 → 89
Calls
4 calls:
10.0ms
(+ (* x (* 2 (log (cbrt (sqrt y))))) (* x (+ (* (log (cbrt (sqrt y))) 2) (log (cbrt y)))))
1.0ms
(cbrt y)
2.0ms
(cbrt (sqrt y))
2.0ms
(cbrt (sqrt y))

series91.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ (* x (* 2 (log (cbrt (sqrt y))))) (* x (+ (* (log (cbrt (sqrt y))) 2) (log (cbrt y)))))
22.0ms
(cbrt y)
16.0ms
(cbrt (sqrt y))
18.0ms
(cbrt (sqrt y))

simplify172.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04391049
11587918
25001842

prune159.0ms

Filtered
84 candidates to 101 candidates (-20.2%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh099
Picked011
Done011
Total10111112

Merged error: 0.0b

Counts
112 → 11

regimes1.6s

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
03917
13917

end0.0ms

sample5.4s

Algorithm
intervals
Results
1.9s27921×body80nan
712.0ms9178×body80valid
0.0ms1×body320valid

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