Details

Time bar (total: 6.8s)

analyze1.0s

Algorithm
search

sample84.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
23.0ms317×body80nan
4.0ms50×body80invalid

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (* x (log y)) z) t)
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
23×add-log-exp
20×add-sqr-sqrt
18×log-prod *-un-lft-identity
14×add-cube-cbrt
13×sum-log
10×pow1
9×distribute-rgt-in distribute-lft-in
8×add-exp-log associate-*r* associate-*l* add-cbrt-cube
6×associate-+r+ associate-*l/
4×flip3-+ frac-add flip-+
3×flip3-- flip--
2×+-commutative associate-+l+ pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
1×distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 93
Calls
4 calls:
6.0ms
(+ (+ (* x (log y)) z) t)
13.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
6.0ms
(* (- b 0.5) (log c))
5.0ms
(* x (log y))

series94.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ (+ (* x (log y)) z) t)
66.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
10.0ms
(* (- b 0.5) (log c))
7.0ms
(* x (log y))

simplify67.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0664893
12592836
25001793

prune148.0ms

Filtered
70 candidates to 105 candidates (-50.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1005105
Fresh000
Picked101
Done000
Total1015106

Merged error: 0.0b

Counts
106 → 5

localize26.0ms

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)

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)))
24.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
21.0ms
(cbrt y)
22.0ms
(cbrt y)

simplify49.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0362765
11356673
25002593

prune164.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1131114
Fresh044
Picked011
Done000
Total1136119

Merged error: 0.0b

Counts
119 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- b 0.5) (log c))
0.2b
(* 3 (log (cbrt y)))
0.3b
(* x (* 3 (log (cbrt y))))
0.6b
(cbrt y)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
42×log-prod
33×distribute-rgt-in distribute-lft-in
30×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
21×cbrt-prod
15×pow1
13×add-exp-log add-cbrt-cube
11×associate-*l*
10×associate-*r*
5×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×log-pow *-commutative
2×pow1/3 associate-*l/ unswap-sqr
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 114
Calls
4 calls:
6.0ms
(* (- b 0.5) (log c))
7.0ms
(* 3 (log (cbrt y)))
6.0ms
(* x (* 3 (log (cbrt y))))
1.0ms
(cbrt y)

series92.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (- b 0.5) (log c))
41.0ms
(* 3 (log (cbrt y)))
21.0ms
(* x (* 3 (log (cbrt y))))
21.0ms
(cbrt y)

simplify51.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0461813
11579723
25001671

prune144.0ms

Filtered
73 candidates to 126 candidates (-72.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1251126
Fresh134
Picked101
Done011
Total1275132

Merged error: 0.0b

Counts
132 → 5

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- b 0.5) (log c))
0.2b
(* 3 (log (pow y 1/3)))
0.3b
(* x (* 3 (log (pow y 1/3))))
4.8b
(pow y 1/3)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
38×distribute-rgt-in distribute-lft-in
31×add-sqr-sqrt
27×*-un-lft-identity
25×add-cube-cbrt
21×unpow-prod-down
15×pow1
14×add-exp-log
13×add-cbrt-cube
11×associate-*l*
9×associate-*r*
7×sqr-pow
5×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow-unpow *-commutative
2×associate-*l/ log-pow unswap-sqr
1×pow-to-exp flip3-- pow-pow unpow1/3 pow-exp flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 126
Calls
4 calls:
6.0ms
(* (- b 0.5) (log c))
5.0ms
(* 3 (log (pow y 1/3)))
7.0ms
(* x (* 3 (log (pow y 1/3))))
2.0ms
(pow y 1/3)

series83.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (- b 0.5) (log c))
34.0ms
(* 3 (log (pow y 1/3)))
20.0ms
(* x (* 3 (log (pow y 1/3))))
20.0ms
(pow y 1/3)

simplify66.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0522846
11978626
25001535

prune142.0ms

Filtered
68 candidates to 138 candidates (-102.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1371138
Fresh123
Picked101
Done011
Total1394143

Merged error: 0.0b

Counts
143 → 4

regimes1.0s

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
03617
13617

end0.0ms

analyze1.0s

Algorithm
search

sample2.2s

Algorithm
intervals
Results
687.0ms9718×body80nan
642.0ms7997×body80valid
105.0ms1203×body80invalid
1.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid

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