Details

Time bar (total: 2.1s)

sample26.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0268
1618
21418
33478
47928
550028

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.6b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.4b
(- (* (* z 2.0) z) (* y t))
17.7b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity add-log-exp
5×add-cube-cbrt
3×pow1 cbrt-undiv flip3-- times-frac div-exp prod-exp associate-/r* flip-- cbrt-unprod
2×sub-neg diff-log associate-/r/
1×frac-2neg clear-num div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 51
Calls
3 calls:
7.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
5.0ms
(- (* (* z 2.0) z) (* y t))
13.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series55.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
8.0ms
(- (* (* z 2.0) z) (* y t))
24.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify44.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0318564
11519493
25002493

prune111.0ms

Filtered
60 candidates to 42 candidates (30.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New501060
Fresh000
Picked101
Done000
Total511061

Merged error: 5.1b

Counts
61 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 2.0 (pow z 2))
0.4b
(- (* 2.0 (pow z 2)) (* t y))
5.7b
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
17.6b
(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
23×add-exp-log associate-*r*
22×add-cube-cbrt *-un-lft-identity
20×add-cbrt-cube
18×times-frac
9×pow1 prod-exp
7×cbrt-unprod
6×add-log-exp
4×unpow-prod-down associate-*l* associate-/r/ unswap-sqr
3×cbrt-undiv flip3-- div-exp pow-prod-down associate-/r* flip-- associate-/l*
2×*-commutative div-inv unpow2 sqr-pow
1×pow-to-exp sub-neg frac-2neg diff-log associate-*r/ pow-exp clear-num
Counts
4 → 103
Calls
4 calls:
5.0ms
(* 2.0 (pow z 2))
4.0ms
(- (* 2.0 (pow z 2)) (* t y))
10.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

series45.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 2.0 (pow z 2))
8.0ms
(- (* 2.0 (pow z 2)) (* t y))
25.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
9.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0413833
12140710
25002709

prune177.0ms

Filtered
115 candidates to 77 candidates (33.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1141115
Fresh189
Picked011
Done000
Total11510125

Merged error: 5.1b

Counts
125 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.4b
(- (* (* z 2.0) z) (* y t))
5.8b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.6b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
28×add-sqr-sqrt *-un-lft-identity
26×add-cube-cbrt
18×add-exp-log add-cbrt-cube
16×associate-/r*
8×add-log-exp
7×cbrt-undiv div-exp
4×pow1 div-inv associate-/l*
3×flip3-- flip--
2×sub-neg frac-2neg diff-log prod-exp clear-num cbrt-unprod associate-/l/
1×div-sub associate-/r/ distribute-lft-out-- difference-of-squares
Counts
4 → 102
Calls
4 calls:
9.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
4.0ms
(- (* (* z 2.0) z) (* y t))
8.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series64.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
7.0ms
(- (* (* z 2.0) z) (* y t))
23.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
10.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify67.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04721105
12263993
25003988

prune168.0ms

Filtered
114 candidates to 84 candidates (26.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1086114
Fresh628
Picked101
Done101
Total1168124

Merged error: 2.2b

Counts
124 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
0.0b
(- (* z 2.0) (/ (* t y) z))
4.8b
(/ (* t y) z)
5.8b
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt add-log-exp
6×times-frac associate-/r*
4×pow1 cbrt-undiv div-exp
3×flip3-- flip--
2×sub-neg frac-2neg diff-log prod-exp clear-num associate-/r/ cbrt-unprod div-inv associate-/l*
1×distribute-lft-out-- difference-of-squares
Counts
4 → 70
Calls
4 calls:
8.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
4.0ms
(- (* z 2.0) (/ (* t y) z))
4.0ms
(/ (* t y) z)
8.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

series54.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
10.0ms
(- (* z 2.0) (/ (* t y) z))
5.0ms
(/ (* t y) z)
21.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0334566
11494506
25001506

prune84.0ms

Filtered
82 candidates to 55 candidates (32.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New79382
Fresh527
Picked101
Done000
Total85590

Merged error: 0.0b

Counts
90 → 5

regimes248.0ms

Accuracy

0% (1.6b remaining)

Error of 2.3b against oracle of 0.6b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample703.0ms

Algorithm
intervals
Results
369.0ms8000×body80valid

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