Details

Time bar (total: 4.4s)

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1618
21418
33478
47928
550028

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))))
1.9b
(- (* (* z 2.0) z) (* y t))
18.4b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite25.0ms

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:
8.0ms
(- 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)))

series367.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
45.0ms
(- (* (* z 2.0) z) (* y t))
214.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify57.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0318564
11519493
25002493

prune158.0ms

Filtered
60 candidates to 42 candidates (70.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New51960
Fresh000
Picked101
Done000
Total52961

Merged error: 6.6b

Counts
61 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

5.8b
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
21.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
21.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
21.3b
(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
16×add-exp-log
12×add-cbrt-cube
9×cbrt-prod flip3-- flip--
8×associate-/r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 cbrt-undiv frac-times div-exp prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×associate-*r/ associate-*l/
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 68
Calls
4 calls:
16.0ms
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
5.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
5.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
5.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

series745.0ms

Counts
4 → 12
Calls
4 calls:
294.0ms
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
154.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
152.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
145.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

simplify52.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04361040
11466920
25001905

prune284.0ms

Filtered
80 candidates to 67 candidates (83.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New80080
Fresh088
Picked011
Done000
Total80989

Merged error: 6.6b

Counts
89 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
1.9b
(- (* 2.0 (pow z 2)) (* t y))
4.2b
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
16.3b
(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×add-exp-log times-frac add-cbrt-cube
15×associate-*r*
9×pow1
8×add-log-exp
6×prod-exp cbrt-unprod
4×flip3-- associate-/r/ flip--
3×cbrt-undiv div-exp pow-prod-down associate-/r* associate-/l*
2×sub-neg diff-log div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 88
Calls
4 calls:
3.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
4.0ms
(- (* 2.0 (pow z 2)) (* t y))
11.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

series414.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
47.0ms
(- (* 2.0 (pow z 2)) (* t y))
205.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
53.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0391883
11978774
25003773

prune231.0ms

Filtered
100 candidates to 69 candidates (69.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New964100
Fresh437
Picked011
Done011
Total1009109

Merged error: 6.6b

Counts
109 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

1.9b
(- (* 2.0 (pow z 2)) (* t y))
4.2b
(* (* y 2.0) (* (* (cbrt z) (cbrt z)) (/ (cbrt z) (- (* 2.0 (pow z 2)) (* t y)))))
4.9b
(/ (cbrt z) (- (* 2.0 (pow z 2)) (* t y)))
11.4b
(* (* (cbrt z) (cbrt z)) (/ (cbrt z) (- (* 2.0 (pow z 2)) (* t y))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
40×add-cbrt-cube
38×times-frac
37×add-sqr-sqrt
33×prod-exp cbrt-unprod
32×add-cube-cbrt *-un-lft-identity
30×pow1
25×associate-*r*
22×cbrt-prod
18×pow-prod-down
7×cbrt-undiv div-exp
6×associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*r/ associate-/r* flip-- unswap-sqr
2×associate-*l* *-commutative div-inv
1×sub-neg frac-2neg diff-log clear-num
Counts
4 → 137
Calls
4 calls:
5.0ms
(- (* 2.0 (pow z 2)) (* t y))
22.0ms
(* (* y 2.0) (* (* (cbrt z) (cbrt z)) (/ (cbrt z) (- (* 2.0 (pow z 2)) (* t y)))))
7.0ms
(/ (cbrt z) (- (* 2.0 (pow z 2)) (* t y)))
15.0ms
(* (* (cbrt z) (cbrt z)) (/ (cbrt z) (- (* 2.0 (pow z 2)) (* t y))))

series520.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- (* 2.0 (pow z 2)) (* t y))
249.0ms
(* (* y 2.0) (* (* (cbrt z) (cbrt z)) (/ (cbrt z) (- (* 2.0 (pow z 2)) (* t y)))))
139.0ms
(/ (cbrt z) (- (* 2.0 (pow z 2)) (* t y)))
79.0ms
(* (* (cbrt z) (cbrt z)) (/ (cbrt z) (- (* 2.0 (pow z 2)) (* t y))))

simplify108.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
05591876
130621505
250021427

prune406.0ms

Filtered
149 candidates to 96 candidates (64.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1490149
Fresh066
Picked011
Done022
Total1499158

Merged error: 6.6b

Counts
158 → 9

regimes180.0ms

Accuracy

0% (2.0b remaining)

Error of 6.5b against oracle of 4.5b and baseline of 6.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02121
12121

end0.0ms

sample544.0ms

Algorithm
intervals
Results
326.0ms8000×body80valid