Details

Time bar (total: 9.2s)

sample150.0ms

Algorithm
intervals
Results
65.0ms951×body80nan
21.0ms285×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03811
110111
242811
3151411
4462011
5500111

prune4.0ms

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

localize21.0ms

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))
0.3b
(* x (log y))

rewrite33.0ms

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))

series369.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ (* x (log y)) z)
226.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
57.0ms
(* (- b 0.5) (log c))
37.0ms
(* x (log y))

simplify84.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
0619860
12417804
25001788

prune370.0ms

Filtered
108 candidates to 76 candidates (70.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1008108
Fresh000
Picked101
Done000
Total1018109

Merged error: 0.0b

Counts
109 → 8

localize22.0ms

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)

series542.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* x (log (cbrt y)))
99.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
176.0ms
(cbrt y)
174.0ms
(cbrt y)

simplify55.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0345729
11431634
25001547

prune517.0ms

Filtered
114 candidates to 92 candidates (80.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1122114
Fresh527
Picked011
Done000
Total1175122

Merged error: 0.0b

Counts
122 → 5

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
24×associate-+l+
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
15×cbrt-prod
12×pow1
11×add-exp-log add-cbrt-cube
7×associate-*r*
6×associate-+r+ add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×*-commutative
1×+-commutative flip3-+ pow1/3 sum-log log-pow flip-+ unswap-sqr
Counts
4 → 95
Calls
4 calls:
10.0ms
(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
4.0ms
(* x 1/3)
6.0ms
(* (* x 1/3) (log y))
1.0ms
(cbrt y)

series388.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
13.0ms
(* x 1/3)
43.0ms
(* (* x 1/3) (log y))
183.0ms
(cbrt y)

simplify72.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0421677
11947555
25002453

prune461.0ms

Filtered
107 candidates to 81 candidates (75.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh033
Picked011
Done011
Total1075112

Merged error: 0.0b

Counts
112 → 5

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (cbrt y))
5.0b
(pow y 1/3)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×unpow-prod-down pow-unpow pow1/3
1×pow-to-exp pow-pow unpow1/3 pow-exp sqr-pow
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt y)
2.0ms
(cbrt (cbrt y))
2.0ms
(cbrt (cbrt y))
2.0ms
(pow y 1/3)

series829.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt y)
237.0ms
(cbrt (cbrt y))
245.0ms
(cbrt (cbrt y))
170.0ms
(pow y 1/3)

simplify47.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0128230
1366206
21313196
35001191

prune385.0ms

Filtered
69 candidates to 56 candidates (81.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh022
Picked011
Done022
Total69574

Merged error: 0.0b

Counts
74 → 5

regimes447.0ms

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
04017
14017

end0.0ms

sample4.3s

Algorithm
intervals
Results
1.9s27062×body80nan
711.0ms9198×body80valid
0.0ms1×body320valid
0.0ms1×body160valid

Profiling

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