Details

Time bar (total: 2.3s)

sample33.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0268
1618
21418
33478
47928
550028

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.3b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.7b
(- (* (* z 2.0) z) (* y t))
18.8b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite22.0ms

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))))
4.0ms
(- (* (* z 2.0) z) (* y t))
9.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series59.0ms

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))
27.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify45.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0318564
11519493
25002493

prune110.0ms

Filtered
42 candidates to 60 candidates (-42.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New52860
Fresh000
Picked101
Done000
Total53861

Merged error: 3.6b

Counts
61 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 2.0 (pow z 2))
0.7b
(- (* 2.0 (pow z 2)) (* t y))
5.1b
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
14.5b
(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite30.0ms

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))
12.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

series43.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 2.0 (pow z 2))
8.0ms
(- (* 2.0 (pow z 2)) (* t y))
23.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
9.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify82.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0413827
12147710
25001709

prune180.0ms

Filtered
77 candidates to 115 candidates (-49.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1123115
Fresh347
Picked101
Done000
Total1167123

Merged error: 3.6b

Counts
123 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.7b
(- (* (* z 2.0) z) (* y t))
5.1b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
14.4b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite31.0ms

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)

series67.0ms

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

simplify63.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04721105
12263993
25003988

prune163.0ms

Filtered
84 candidates to 114 candidates (-35.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1104114
Fresh246
Picked011
Done000
Total1129121

Merged error: 1.4b

Counts
121 → 9

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))
4.1b
(/ (* t y) z)
5.1b
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

rewrite27.0ms

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:
10.0ms
(- 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)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
7.0ms
(- (* z 2.0) (/ (* t y) z))
5.0ms
(/ (* t y) z)
20.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0334566
11494506
25001506

prune86.0ms

Filtered
56 candidates to 82 candidates (-46.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New81182
Fresh347
Picked101
Done011
Total85691

Merged error: 0.0b

Counts
91 → 6

regimes349.0ms

Accuracy

49.4% (0.9b remaining)

Error of 1.4b against oracle of 0.5b and baseline of 2.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03121
13121

end0.0ms

sample736.0ms

Algorithm
intervals
Results
390.0ms8000×body80valid

Profiling

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