Details

Time bar (total: 7.9s)

sample278.0ms

Algorithm
intervals
Results
51.0ms680×body80nan
24.0ms298×body80valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03811
110111
242811
3151411
4462011
5500111

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize18.0ms

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))

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))

series90.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* 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))

simplify63.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0665888
12567831
25003785

prune185.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New999108
Fresh000
Picked101
Done000
Total1009109

Merged error: 0.0b

Counts
109 → 9

localize24.0ms

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))))
0.5b
(cbrt y)
0.5b
(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)

series86.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (log (cbrt y)))
21.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
24.0ms
(cbrt y)
22.0ms
(cbrt y)

simplify48.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0362765
11356673
25002593

prune205.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1122114
Fresh178
Picked101
Done000
Total1149123

Merged error: 0.0b

Counts
123 → 9

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
4.0ms
(cbrt (* (cbrt y) (cbrt y)))
2.0ms
(cbrt (cbrt y))

series107.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
22.0ms
(cbrt y)
34.0ms
(cbrt (* (cbrt y) (cbrt y)))
29.0ms
(cbrt (cbrt y))

simplify200.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
0147266
1289242
2847200
34353187
45001187

prune137.0ms

Filtered
45 candidates to 57 candidates (-26.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New57057
Fresh088
Picked011
Done000
Total57966

Merged error: 0.0b

Counts
66 → 9

localize31.0ms

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))))
0.5b
(cbrt y)
4.8b
(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:
6.0ms
(* x (log (pow y 1/3)))
11.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series88.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* x (log (pow y 1/3)))
27.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
24.0ms
(cbrt y)
20.0ms
(pow y 1/3)

simplify64.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0460798
11882686
25002512

prune190.0ms

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

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1240124
Fresh077
Picked011
Done011
Total1249133

Merged error: 0.0b

Counts
133 → 9

regimes1.4s

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
04324
14324

end0.0ms

sample4.4s

Algorithm
intervals
Results
1.7s22986×body80nan
747.0ms9261×body80valid
1.0ms2×body640valid
0.0ms2×body320valid

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