Details

Time bar (total: 1.6s)

sample15.0ms

Algorithm
intervals
Results
5.0ms242×body80valid
0.0ms6×body640valid
0.0ms3×body1280valid
0.0ms2×body2560valid
0.0ms3×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0477
1477

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* (/ 3.0 8.0) y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- x (* (/ 3.0 8.0) y))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(- x (* (/ 3.0 8.0) y))

simplify34.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05166151

prune31.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0.0b

Counts
16 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
8.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series155.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
38.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
37.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
39.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
052791428

prune195.0ms

Filtered
71 candidates to 99 candidates (-39.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh022
Picked011
Done011
Total985103

Merged error: 0.0b

Counts
103 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (/ 3.0 8.0) y))
0.0b
(sqrt (- x (* (/ 3.0 8.0) y)))
0.0b
(sqrt (- x (* (/ 3.0 8.0) y)))
0.3b
(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-- flip--
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
2.0ms
(- x (* (/ 3.0 8.0) y))
2.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
8.0ms
(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

series29.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- x (* (/ 3.0 8.0) y))
10.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
10.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
4.0ms
(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

simplify33.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
054321320

prune130.0ms

Filtered
64 candidates to 111 candidates (-73.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh022
Picked011
Done022
Total1115116

Merged error: 0.0b

Counts
116 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 3.0 8.0) (* y y))
0.2b
(* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))
3.6b
(- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y))))
32.9b
(/ (- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))) (+ x (* (/ 3.0 8.0) y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log add-cbrt-cube
29×add-sqr-sqrt
28×times-frac prod-exp cbrt-unprod
26×add-cube-cbrt *-un-lft-identity associate-*l*
18×pow1
12×cbrt-undiv div-exp
9×pow-prod-down
6×add-log-exp
4×associate-*l/
3×associate-/r* div-inv associate-/l*
2×flip3-- associate-*r* associate-/r/ *-commutative flip-- associate-/l/ unswap-sqr
1×frac-times sub-neg frac-2neg flip3-+ diff-log div-sub associate-*r/ clear-num flip-+
Counts
4 → 127
Calls
4 calls:
7.0ms
(* (/ 3.0 8.0) (* y y))
11.0ms
(* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))
3.0ms
(- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y))))
7.0ms
(/ (- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))) (+ x (* (/ 3.0 8.0) y)))

series25.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (/ 3.0 8.0) (* y y))
3.0ms
(* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))
7.0ms
(- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y))))
12.0ms
(/ (- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))) (+ x (* (/ 3.0 8.0) y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049931892
149931892

prune170.0ms

Filtered
89 candidates to 139 candidates (-56.2%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1372139
Fresh101
Picked011
Done033
Total1386144

Merged error: 0.0b

Counts
144 → 6

regimes194.0ms

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
087
187

end0.0ms

sample412.0ms

Algorithm
intervals
Results
163.0ms7408×body80valid
21.0ms216×body1280valid
11.0ms148×body640valid
8.0ms72×body2560valid
6.0ms109×body320valid
2.0ms47×body160valid

Profiling

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