Details

Time bar (total: 1.6s)

sample17.0ms

Algorithm
intervals
Results
5.0ms236×body80valid
1.0ms9×body640valid
1.0ms6×body1280valid
0.0ms3×body2560valid
0.0ms2×body160valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
02977
12977

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

localize9.0ms

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))

simplify35.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
04999151
14999151

prune27.0ms

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: 0.1b

Counts
16 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (/ 3.0 8.0) y))
0.1b
(sqrt (- x (* (/ 3.0 8.0) y)))
0.1b
(sqrt (- x (* (/ 3.0 8.0) y)))
0.3b
(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

rewrite22.0ms

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:
3.0ms
(- x (* (/ 3.0 8.0) y))
3.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
10.0ms
(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

series34.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- x (* (/ 3.0 8.0) y))
11.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
11.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
7.0ms
(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

simplify32.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
050961328

prune139.0ms

Filtered
63 candidates to 111 candidates (-76.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1110111
Fresh022
Picked011
Done011
Total1114115

Merged error: 0.1b

Counts
115 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 3.0 8.0) (* y y))
0.2b
(* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))
5.5b
(- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y))))
30.1b
(/ (- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))) (+ x (* (/ 3.0 8.0) y)))

rewrite39.0ms

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))
12.0ms
(* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))
5.0ms
(- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y))))
10.0ms
(/ (- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))) (+ x (* (/ 3.0 8.0) y)))

series26.0ms

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))))
12.0ms
(/ (- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))) (+ x (* (/ 3.0 8.0) y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050161892

prune193.0ms

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

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1363139
Fresh101
Picked011
Done022
Total1376143

Merged error: 0.0b

Counts
143 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (/ 3.0 8.0) y))
0.2b
(/ 1 (- x (* (/ 3.0 8.0) y)))
0.2b
(/ 1 (/ 1 (- x (* (/ 3.0 8.0) y))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
26×add-exp-log
18×associate-/r*
16×div-exp
11×associate-/r/
10×add-cbrt-cube
8×rec-exp 1-exp
6×pow1 flip3-- flip-- div-inv associate-/l*
5×pow-flip add-log-exp
4×cbrt-undiv
3×inv-pow
2×frac-2neg clear-num
1×sub-neg diff-log remove-double-div
Counts
3 → 138
Calls
3 calls:
3.0ms
(- x (* (/ 3.0 8.0) y))
5.0ms
(/ 1 (- x (* (/ 3.0 8.0) y)))
9.0ms
(/ 1 (/ 1 (- x (* (/ 3.0 8.0) y))))

series15.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- x (* (/ 3.0 8.0) y))
6.0ms
(/ 1 (- x (* (/ 3.0 8.0) y)))
5.0ms
(/ 1 (/ 1 (- x (* (/ 3.0 8.0) y))))

simplify60.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050171898

prune133.0ms

Filtered
74 candidates to 147 candidates (-98.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1443147
Fresh022
Picked011
Done123
Total1458153

Merged error: 0.0b

Counts
153 → 8

regimes226.0ms

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 (1.0ms)

IterNodesCost
0417
1417

end0.0ms

sample432.0ms

Algorithm
intervals
Results
164.0ms7341×body80valid
23.0ms246×body1280valid
13.0ms175×body640valid
12.0ms99×body2560valid
5.0ms90×body320valid
2.0ms49×body160valid

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