Details

Time bar (total: 8.7s)

sample156.0ms

Algorithm
intervals
Results
59.0ms55×body2560valid
44.0ms78×body1280valid
16.0ms43×body640valid
7.0ms15×body320valid
5.0msbody5120valid
5.0ms57×body80valid
1.0msbody160valid

simplify81.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.2b

localize28.0ms

Local error

Found 4 expressions with local error:

3.2b
(* (* (+ (* y 2.0) 1.0) z) t)
3.6b
(* (* (+ (* a 2.0) 1.0) b) t)
35.5b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
36.6b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite22.0ms

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:
8.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
8.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
3.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
3.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series155.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
40.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
37.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
34.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0371438
11835354
25001354

prune560.0ms

Filtered
66 candidates to 50 candidates (75.8%)
Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 42.7b

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)))
3.2b
(* (* (+ (* y 2.0) 1.0) z) t)
35.5b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite22.0ms

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:
6.0ms
(* (+ (* y 2.0) 1.0) z)
4.0ms
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
8.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
3.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series182.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (+ (* y 2.0) 1.0) z)
68.0ms
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
43.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
34.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0283530
11350439
25001439

prune363.0ms

Filtered
77 candidates to 54 candidates (70.1%)
Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 40.9b

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 (2.0ms)

IterNodesCost
000

prune121.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 40.9b

localize19.0ms

Local error

Found 3 expressions with local error:

0.2b
(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
1.9b
(* (+ (* y 2.0) 1.0) (* z t))
35.5b
(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity associate-*l*
associate-*r* pow-prod-down prod-exp cbrt-unprod
add-log-exp
associate-*l/ *-commutative
flip3-+ flip-+ unswap-sqr
Counts
3 → 45
Calls
3 calls:
4.0ms
(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
8.0ms
(* (+ (* y 2.0) 1.0) (* z t))
3.0ms
(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

series145.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
44.0ms
(* (+ (* y 2.0) 1.0) (* z t))
35.0ms
(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

simplify109.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0244417
1992343
23799343
35001343

prune164.0ms

Filtered
54 candidates to 39 candidates (72.2%)
Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 40.9b

regimes1.8s

Accuracy

0% (4.4b remaining)

Error of 44.1b against oracle of 39.7b and baseline of 44.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

sample4.6s

Algorithm
intervals
Results
2.0s1801×body2560valid
1.4s2240×body1280valid
471.0ms1200×body640valid
170.0ms1918×body80valid
155.0ms556×body320valid
91.0ms36×body5120valid
46.0ms249×body160valid