Details

Time bar (total: 2.9s)

analyze353.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
12.5%87.4%0.1%4
18.7%81.1%0.1%5
18.7%81.1%0.1%6
21.8%78%0.1%7
27.3%61.6%11.1%8
28.5%60.5%11.1%9
32.6%53.4%14%10
40.2%38.1%21.7%11
41.8%35.8%22.4%12
44.5%29.2%26.3%13
47.1%21.3%31.6%14

sample31.0ms

Algorithm
intervals
Results
8.0ms247×body80invalid
8.0ms256×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
050578

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (cosh x) (/ y (* x z)))
5.9b
(/ y (* x z))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×cosh-def div-inv add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 50
Calls
2 calls:
6.0ms
(* (cosh x) (/ y (* x z)))
4.0ms
(/ y (* x z))

series37.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (cosh x) (/ y (* x z)))
5.0ms
(/ y (* x z))

simplify55.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04986459
14986459

prune78.0ms

Filtered
40 candidates to 56 candidates (-40.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New50656
Fresh011
Picked011
Done000
Total50858

Merged error: 0.0b

Counts
58 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (cosh x) (/ 1 (* (/ x y) z)))
0.5b
(/ 1 (* (/ x y) z))
5.7b
(* (/ x y) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×add-cbrt-cube
24×prod-exp
23×add-sqr-sqrt
19×div-exp
16×add-cube-cbrt *-un-lft-identity times-frac associate-*l*
11×associate-*r*
10×pow1 cbrt-unprod
9×cbrt-undiv
6×rec-exp 1-exp
4×associate-*l/
3×pow-prod-down div-inv associate-/l* add-log-exp unswap-sqr
2×cosh-def pow-flip associate-/r/ *-commutative
1×frac-times frac-2neg associate-*r/ clear-num associate-/r* un-div-inv inv-pow
Counts
3 → 104
Calls
3 calls:
9.0ms
(* (cosh x) (/ 1 (* (/ x y) z)))
6.0ms
(/ 1 (* (/ x y) z))
6.0ms
(* (/ x y) z)

series43.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(* (cosh x) (/ 1 (* (/ x y) z)))
5.0ms
(/ 1 (* (/ x y) z))
6.0ms
(* (/ x y) z)

simplify61.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04979805
14979805

prune114.0ms

Filtered
66 candidates to 113 candidates (-71.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1094113
Fresh336
Picked011
Done101
Total1138121

Merged error: 0.0b

Counts
121 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
5.5b
(* (* (/ (cbrt y) x) (cbrt y)) (/ (cbrt y) z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac
16×add-cbrt-cube
10×prod-exp cbrt-unprod
9×pow1
5×cbrt-undiv div-exp
4×add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×frac-times associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
12.0ms
(* (* (/ (cbrt y) x) (cbrt y)) (/ (cbrt y) z))

series81.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt y)
25.0ms
(cbrt y)
24.0ms
(cbrt y)
9.0ms
(* (* (/ (cbrt y) x) (cbrt y)) (/ (cbrt y) z))

simplify78.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
04866617
14866617

prune98.0ms

Filtered
61 candidates to 93 candidates (-52.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New91293
Fresh156
Picked101
Done011
Total938101

Merged error: 0b

Counts
101 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt y))
0.6b
(cbrt (cbrt y))
1.0b
(* (* (cbrt y) (* (/ (cbrt y) x) (* (cbrt (cbrt y)) (/ (cbrt (cbrt y)) (* (cbrt z) (cbrt z)))))) (/ (cbrt (cbrt y)) (cbrt z)))
1.5b
(* (/ (cbrt y) x) (* (cbrt (cbrt y)) (/ (cbrt (cbrt y)) (* (cbrt z) (cbrt z)))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
152×add-exp-log
108×cbrt-prod
86×prod-exp cbrt-unprod
72×times-frac
60×add-cbrt-cube
59×associate-*r*
58×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
34×cbrt-undiv div-exp
23×pow1 associate-*l*
16×associate-*r/
13×pow-prod-down
6×frac-times associate-*l/
4×add-log-exp
2×pow1/3 *-commutative div-inv
Counts
4 → 198
Calls
4 calls:
2.0ms
(cbrt (cbrt y))
2.0ms
(cbrt (cbrt y))
33.0ms
(* (* (cbrt y) (* (/ (cbrt y) x) (* (cbrt (cbrt y)) (/ (cbrt (cbrt y)) (* (cbrt z) (cbrt z)))))) (/ (cbrt (cbrt y)) (cbrt z)))
15.0ms
(* (/ (cbrt y) x) (* (cbrt (cbrt y)) (/ (cbrt (cbrt y)) (* (cbrt z) (cbrt z)))))

series118.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (cbrt y))
35.0ms
(cbrt (cbrt y))
6.0ms
(* (* (cbrt y) (* (/ (cbrt y) x) (* (cbrt (cbrt y)) (/ (cbrt (cbrt y)) (* (cbrt z) (cbrt z)))))) (/ (cbrt (cbrt y)) (cbrt z)))
45.0ms
(* (/ (cbrt y) x) (* (cbrt (cbrt y)) (/ (cbrt (cbrt y)) (* (cbrt z) (cbrt z)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050823958

prune181.0ms

Filtered
141 candidates to 210 candidates (-48.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2100210
Fresh066
Picked011
Done011
Total2108218

Merged error: 0b

Counts
218 → 8

regimes396.0ms

Accuracy

93.6% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 4.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02139
12139

end0.0ms

sample842.0ms

Algorithm
intervals
Results
265.0ms8000×body80valid
245.0ms7300×body80invalid

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