Details

Time bar (total: 3.6s)

analyze709.0ms

Algorithm
search

sample22.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify34.0ms

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: 12.3b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.9b
(- (* (* z 2.0) z) (* y t))
19.0b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×cbrt-undiv times-frac div-exp prod-exp associate-/r* cbrt-unprod
2×pow1 flip3-- associate-/r/ flip--
1×sub-neg frac-2neg diff-log clear-num div-inv associate-/l*
Counts
2 → 37
Calls
2 calls:
4.0ms
(- (* (* z 2.0) z) (* y t))
10.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series36.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(- (* (* z 2.0) z) (* y t))
28.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify42.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0265383
11370314
25002313

prune85.0ms

Filtered
30 candidates to 43 candidates (-43.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New37643
Fresh000
Picked101
Done000
Total38644

Merged error: 4.6b

Counts
44 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.9b
(- (* 2.0 (pow z 2)) (* t y))
5.2b
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
17.1b
(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
17×add-exp-log add-cbrt-cube
15×associate-*r*
8×pow1
6×prod-exp cbrt-unprod
5×add-log-exp
4×associate-/r/
3×cbrt-undiv flip3-- div-exp pow-prod-down associate-/r* flip-- associate-/l*
2×div-inv
1×sub-neg frac-2neg diff-log associate-*r/ associate-*l* clear-num *-commutative
Counts
3 → 76
Calls
3 calls:
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)))

series42.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(- (* 2.0 (pow z 2)) (* t y))
25.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
10.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0341730
11766623
25002621

prune141.0ms

Filtered
58 candidates to 85 candidates (-46.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh055
Picked011
Done000
Total84791

Merged error: 4.6b

Counts
91 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

19.0b
(/ (* (* y 2.0) z) (* (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))) (cbrt (- (* (* z 2.0) z) (* y t)))))
21.9b
(cbrt (- (* (* z 2.0) z) (* y t)))
21.9b
(cbrt (- (* (* z 2.0) z) (* y t)))
21.9b
(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
40×add-exp-log
30×flip3-- flip--
28×frac-times add-cbrt-cube
26×associate-/r/
18×prod-exp cbrt-unprod
14×associate-*l/
9×cbrt-undiv cbrt-prod div-exp
8×associate-*r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-log-exp
3×pow1/3
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 96
Calls
4 calls:
25.0ms
(/ (* (* y 2.0) z) (* (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))) (cbrt (- (* (* z 2.0) z) (* y t)))))
7.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
4.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
5.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (* (* y 2.0) z) (* (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))) (cbrt (- (* (* z 2.0) z) (* y t)))))
26.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
23.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
24.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

simplify75.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06322091
127541618
250011517

prune242.0ms

Filtered
72 candidates to 108 candidates (-50.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh055
Picked011
Done011
Total1087115

Merged error: 4.6b

Counts
115 → 7

localize12.0ms

Local error

Found 3 expressions with local error:

0.7b
(/ 1 (- (* (* z 2.0) z) (* y t)))
0.9b
(- (* (* z 2.0) z) (* y t))
18.9b
(* (* (* y 2.0) z) (/ 1 (- (* (* z 2.0) z) (* y t))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
26×add-cbrt-cube
24×prod-exp
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
15×associate-*r*
13×pow1
12×cbrt-unprod
8×div-exp
6×pow-prod-down
5×add-log-exp
4×cbrt-undiv rec-exp 1-exp associate-/r/
3×flip3-- associate-/r* flip-- associate-/l*
2×div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ associate-*l* clear-num un-div-inv *-commutative inv-pow
Counts
3 → 92
Calls
3 calls:
6.0ms
(/ 1 (- (* (* z 2.0) z) (* y t)))
5.0ms
(- (* (* z 2.0) z) (* y t))
14.0ms
(* (* (* y 2.0) z) (/ 1 (- (* (* z 2.0) z) (* y t))))

series44.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ 1 (- (* (* z 2.0) z) (* y t)))
10.0ms
(- (* (* z 2.0) z) (* y t))
25.0ms
(* (* (* y 2.0) z) (/ 1 (- (* (* z 2.0) z) (* y t))))

simplify67.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0422900
12324736
25001709

prune84.0ms

Filtered
50 candidates to 101 candidates (-102.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh044
Picked011
Done022
Total1017108

Merged error: 4.6b

Counts
108 → 7

regimes400.0ms

Accuracy

56.6% (0.9b remaining)

Error of 5.1b against oracle of 4.2b and baseline of 6.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03116
13116

end0.0ms

analyze676.0ms

Algorithm
search

sample591.0ms

Algorithm
intervals
Results
396.0ms8000×body80valid

Profiling

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