Details

Time bar (total: 3.5s)

sample24.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0278
1638
21498
33588
48408
550018

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.4b

Counts
2 → 1

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.6b
(- (* (* z 2.0) z) (* y t))
18.9b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
28×prod-diff
23×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
12×add-exp-log times-frac add-cbrt-cube
8×associate-/r/
7×add-log-exp
6×flip3-- flip--
4×fma-neg div-inv
3×pow1 cbrt-undiv expm1-log1p-u div-exp prod-exp associate-/r* cbrt-unprod log1p-expm1-u
2×sub-neg diff-log
1×frac-2neg clear-num associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 89
Calls
3 calls:
9.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
5.0ms
(- (* (* z 2.0) z) (* y t))
10.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series313.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
40.0ms
(- (* (* z 2.0) z) (* y t))
188.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify87.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
05061970
123921402
250021401

prune218.0ms

Filtered
98 candidates to 63 candidates (64.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New91798
Fresh000
Picked101
Done000
Total92799

Merged error: 6.0b

Counts
99 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.6b
(- (* (* z 2.0) z) (* y t))
4.3b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.1b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
106×times-frac
71×add-sqr-sqrt *-un-lft-identity
69×add-cube-cbrt
55×prod-diff
18×add-exp-log add-cbrt-cube
16×associate-/r*
10×div-inv
8×add-log-exp
7×cbrt-undiv div-exp
4×pow1 expm1-log1p-u fma-neg associate-/r/ log1p-expm1-u associate-/l*
3×flip3-- flip--
2×sub-neg frac-2neg diff-log prod-exp clear-num cbrt-unprod associate-/l/
1×div-sub distribute-lft-out-- difference-of-squares
Counts
4 → 169
Calls
4 calls:
12.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
5.0ms
(- (* (* z 2.0) z) (* y t))
9.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
10.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series371.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
37.0ms
(- (* (* z 2.0) z) (* y t))
191.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
57.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify137.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
08363783
137452919
250012916

prune372.0ms

Filtered
181 candidates to 120 candidates (66.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1765181
Fresh426
Picked101
Done000
Total1817188

Merged error: 1.9b

Counts
188 → 7

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
4.3b
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
4.9b
(/ (* t y) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
27×prod-diff
25×add-sqr-sqrt *-un-lft-identity
23×add-cube-cbrt
15×times-frac
13×add-exp-log add-cbrt-cube
8×associate-/r/
6×associate-/r*
5×flip3-- flip-- div-inv add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u fma-neg log1p-expm1-u
2×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
1×sub-neg diff-log distribute-lft-out-- difference-of-squares
Counts
3 → 94
Calls
3 calls:
9.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
8.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.0ms
(/ (* t y) z)

series265.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
175.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
20.0ms
(/ (* t y) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05071752
122231227
250011226

prune194.0ms

Filtered
103 candidates to 65 candidates (63.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New994103
Fresh516
Picked101
Done000
Total1055110

Merged error: 0.2b

Counts
110 → 5

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* z 2.0) (* t (/ y z)))))
4.3b
(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))
4.4b
(* t (/ y z))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
31×*-un-lft-identity
29×add-cube-cbrt
27×prod-diff
22×times-frac
13×add-exp-log associate-*r* add-cbrt-cube
8×associate-/r/
5×pow1 flip3-- flip-- div-inv add-log-exp
3×cbrt-undiv expm1-log1p-u fma-neg div-exp associate-*l* prod-exp associate-/r* cbrt-unprod log1p-expm1-u
2×unswap-sqr
1×sub-neg frac-2neg diff-log associate-*r/ pow-prod-down clear-num *-commutative associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 105
Calls
3 calls:
15.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (* t (/ y z)))))
16.0ms
(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))
12.0ms
(* t (/ y z))

series273.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (* t (/ y z)))))
179.0ms
(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))
20.0ms
(* t (/ y z))

simplify78.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05641800
125191275
250011274

prune197.0ms

Filtered
114 candidates to 73 candidates (64.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1131114
Fresh134
Picked011
Done000
Total1145119

Merged error: 0.2b

Counts
119 → 5

regimes95.0ms

Accuracy

0% (1.8b remaining)

Error of 2.4b against oracle of 0.6b and baseline of 2.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample566.0ms

Algorithm
intervals
Results
366.0ms8000×body80valid

Profiling

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