Details

Time bar (total: 10.3s)

sample195.0ms

Algorithm
intervals
Results
85.0ms60×body2560valid
56.0ms79×body1280valid
13.0ms30×body640valid
6.0ms67×body80valid
4.0ms11×body320valid
2.0msbody5120valid
2.0msbody160valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04214
19914
222214
340214
467614
592814
6111614
7120614
8136814
9138014
10138014

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.3b

localize24.0ms

Local error

Found 4 expressions with local error:

1.9b
(* (* (+ (* y 2.0) 1.0) z) t)
3.9b
(* (* (+ (* a 2.0) 1.0) b) t)
33.9b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.1b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
associate-*l/
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
add-log-exp
flip3-+ associate-*l* *-commutative flip-+
Counts
4 → 54
Calls
4 calls:
19.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
16.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
2.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series150.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
43.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
33.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
34.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0371438
11835354
25001354

prune365.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 40.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* y 2.0) 1.0) z)
0.2b
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
1.9b
(* (* (+ (* y 2.0) 1.0) z) t)
33.9b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
add-cube-cbrt *-un-lft-identity associate-*r*
associate-*l*
associate-*l/
pow-prod-down prod-exp cbrt-unprod
add-log-exp
*-commutative
flip3-+ flip-+ unswap-sqr
Counts
4 → 65
Calls
4 calls:
10.0ms
(* (+ (* y 2.0) 1.0) z)
6.0ms
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
16.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series180.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (+ (* y 2.0) 1.0) z)
64.0ms
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
43.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
33.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0283530
11350439
25001439

prune382.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 38.6b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune134.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 38.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.9b
(* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t))
1.3b
(* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t)))
33.9b
(cos (/ (* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
10×associate-*l/
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r*
cbrt-prod
add-log-exp
flip3-+ associate-*l* *-commutative flip-+
pow1/3
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt t)
87.0ms
(* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t))
23.0ms
(* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t)))
2.0ms
(cos (/ (* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

series520.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt t)
81.0ms
(* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t))
204.0ms
(* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t)))
56.0ms
(cos (/ (* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0396843
12043612
25002554

prune293.0ms

Pruning

47 alts after pruning (46 fresh and 1 done)

Merged error: 38.3b

regimes2.9s

Accuracy

0% (4.5b remaining)

Error of 44.2b against oracle of 39.7b and baseline of 44.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

sample4.7s

Algorithm
intervals
Results
2.2s1857×body2560valid
1.3s2246×body1280valid
425.0ms1139×body640valid
168.0ms1919×body80valid
153.0ms580×body320valid
95.0ms38×body5120valid
39.0ms221×body160valid