Details

Time bar (total: 4.2s)

sample22.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1618
21418
33478
47928
550028

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.2b
(* (* y 2.0) z)
0.5b
(- (* (* z 2.0) z) (* y t))
19.7b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
9×pow1 add-sqr-sqrt *-un-lft-identity
8×add-log-exp
7×add-cube-cbrt
6×prod-exp cbrt-unprod
3×cbrt-undiv flip3-- times-frac div-exp associate-*r* pow-prod-down associate-/r* flip--
2×sub-neg diff-log associate-/r/
1×frac-2neg associate-*l* clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 69
Calls
4 calls:
57.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
17.0ms
(* (* y 2.0) z)
19.0ms
(- (* (* z 2.0) z) (* y t))
48.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series291.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
16.0ms
(* (* y 2.0) z)
36.0ms
(- (* (* z 2.0) z) (* y t))
164.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify56.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0346636
11760550
25001550

prune193.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
0.5b
(- (* 2.0 (pow z 2)) (* t y))
4.6b
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
17.8b
(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite78.0ms

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:
5.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
10.0ms
(- (* 2.0 (pow z 2)) (* t y))
46.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
15.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

series324.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
36.0ms
(- (* 2.0 (pow z 2)) (* t y))
164.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
46.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0391883
11978774
25003773

prune265.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.0b

localize16.0ms

Local error

Found 4 expressions with local error:

5.3b
(/ (* y 2.0) (* (cbrt (- (* 2.0 (pow z 2)) (* t y))) (cbrt (- (* 2.0 (pow z 2)) (* t y)))))
24.3b
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
24.3b
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
24.3b
(cbrt (- (* 2.0 (pow z 2)) (* t y)))

rewrite70.0ms

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:
42.0ms
(/ (* y 2.0) (* (cbrt (- (* 2.0 (pow z 2)) (* t y))) (cbrt (- (* 2.0 (pow z 2)) (* t y)))))
10.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
8.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
8.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))

series604.0ms

Counts
4 → 12
Calls
4 calls:
258.0ms
(/ (* y 2.0) (* (cbrt (- (* 2.0 (pow z 2)) (* t y))) (cbrt (- (* 2.0 (pow z 2)) (* t y)))))
114.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
116.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
116.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04331040
11475920
25001905

prune333.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.0b

localize30.0ms

Local error

Found 4 expressions with local error:

24.3b
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
24.3b
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
24.3b
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
24.3b
(cbrt (- (* 2.0 (pow z 2)) (* t y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 52
Calls
4 calls:
8.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
8.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
8.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
8.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))

series466.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
115.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
121.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
117.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0170668
1509624
21731616
35002596

prune331.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.0b

regimes177.0ms

Accuracy

0% (2.0b remaining)

Error of 6.4b against oracle of 4.4b and baseline of 6.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02121
12121

end0.0ms

sample574.0ms

Algorithm
intervals
Results
289.0ms8000×body80valid