Details

Time bar (total: 2.1s)

sample18.0ms

Algorithm
intervals
Results
6.0ms240×body80valid
1.0ms7×body1280valid
0.0ms4×body640valid
0.0ms2×body320valid
0.0ms1×body2560valid
0.0ms2×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))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(- x (* (/ 3.0 8.0) y))

simplify30.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05166151

prune33.0ms

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)))

rewrite21.0ms

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:
9.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series179.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
44.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
42.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
45.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify37.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
052791428

prune231.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New97299
Fresh022
Picked011
Done011
Total976103

Merged error: 0.0b

Counts
103 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
12×cbrt-div
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 58
Calls
4 calls:
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series172.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
42.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
44.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
42.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify30.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
05009934

prune265.0ms

Filtered
56 candidates to 70 candidates (-25.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New69170
Fresh033
Picked011
Done022
Total69776

Merged error: 0.0b

Counts
76 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 3.0 8.0) (* y y))
0.3b
(* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))
4.8b
(- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y))))
29.7b
(/ (- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))) (+ x (* (/ 3.0 8.0) y)))

rewrite41.0ms

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:
9.0ms
(* (/ 3.0 8.0) (* y y))
14.0ms
(* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))
4.0ms
(- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y))))
9.0ms
(/ (- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))) (+ x (* (/ 3.0 8.0) y)))

series32.0ms

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)))
8.0ms
(- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y))))
16.0ms
(/ (- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))) (+ x (* (/ 3.0 8.0) y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
049931892
149931892

prune193.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1372139
Fresh123
Picked101
Done123
Total1406146

Merged error: 0.0b

Counts
146 → 6

regimes200.0ms

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

sample477.0ms

Algorithm
intervals
Results
178.0ms7369×body80valid
24.0ms227×body1280valid
14.0ms166×body640valid
12.0ms91×body2560valid
6.0ms99×body320valid
2.0ms48×body160valid

Profiling

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