Details

Time bar (total: 7.7s)

sample99.0ms

Algorithm
intervals
Results
21.0ms53×body1280valid
19.0ms330×body80nan
11.0ms172×body80valid
8.0ms13×body2560valid
7.0ms25×body640valid
4.0ms18×body320valid
1.0ms6×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210

prune4.0ms

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: 19.7b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(/ a (* b 3.0))
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
24.6b
(cos (- y (/ (* z t) 3.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
9×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-/r* associate-/l* add-log-exp
3×cos-diff associate-*r* pow-prod-down
2×cos-sum frac-2neg clear-num div-inv
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
Counts
4 → 72
Calls
4 calls:
5.0ms
(/ (* z t) 3.0)
4.0ms
(/ a (* b 3.0))
6.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
5.0ms
(cos (- y (/ (* z t) 3.0)))

series163.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (* z t) 3.0)
20.0ms
(/ a (* b 3.0))
93.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
33.0ms
(cos (- y (/ (* z t) 3.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0404507
11689429
25001426

prune325.0ms

Filtered
84 candidates to 58 candidates (69.0%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New681684
Fresh000
Picked101
Done000
Total691685

Merged error: 16.2b

Counts
85 → 16

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
0.2b
(* (sin y) (sin (/ (* z t) 3.0)))
29.4b
(cos (/ (* z t) 3.0))
29.8b
(sin (/ (* z t) 3.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×associate-*r/
2×*-commutative sin-mult
1×distribute-rgt-in distribute-lft-in flip3-+ frac-add cos-mult flip-+ unswap-sqr
Counts
4 → 56
Calls
4 calls:
9.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
5.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
2.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series253.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
42.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
9.0ms
(cos (/ (* z t) 3.0))
15.0ms
(sin (/ (* z t) 3.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0365754
11772643
25001640

prune398.0ms

Filtered
68 candidates to 51 candidates (75.0%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New551368
Fresh31215
Picked101
Done000
Total592584

Merged error: 16.1b

Counts
84 → 25

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin y) (sin (/ (* z t) 3.0)))
0.3b
(log (exp (cos (/ (* z t) 3.0))))
29.4b
(cos (/ (* z t) 3.0))
29.8b
(sin (/ (* z t) 3.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×pow1
6×add-exp-log add-cbrt-cube
4×log-pow add-log-exp
3×log-prod exp-prod associate-*r* associate-*l*
1×rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod sin-mult unswap-sqr
Counts
4 → 48
Calls
4 calls:
5.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
3.0ms
(log (exp (cos (/ (* z t) 3.0))))
2.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series76.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
10.0ms
(log (exp (cos (/ (* z t) 3.0))))
9.0ms
(cos (/ (* z t) 3.0))
15.0ms
(sin (/ (* z t) 3.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0123346
1315297
2654297
3972297
42223297
55002297

prune392.0ms

Filtered
60 candidates to 46 candidates (76.7%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New55560
Fresh42024
Picked101
Done000
Total602585

Merged error: 16.1b

Counts
85 → 25

localize33.0ms

Local error

Found 4 expressions with local error:

29.4b
(cos (/ (* z t) 3.0))
29.8b
(sin (/ (* z t) 3.0))
29.8b
(sin (/ (* z t) 3.0))
29.8b
(sin (/ (* z t) 3.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
Counts
4 → 28
Calls
4 calls:
2.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series59.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(cos (/ (* z t) 3.0))
15.0ms
(sin (/ (* z t) 3.0))
18.0ms
(sin (/ (* z t) 3.0))
15.0ms
(sin (/ (* z t) 3.0))

simplify103.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
036190
152162
263162
372162
4100162
5174162
6693162
72258162
85001162

prune280.0ms

Filtered
40 candidates to 36 candidates (90.0%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New38240
Fresh12324
Picked101
Done000
Total402565

Merged error: 16.0b

Counts
65 → 25

regimes2.4s

Accuracy

62.8% (1.3b remaining)

Error of 17.6b against oracle of 16.3b and baseline of 19.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05654
15654

end0.0ms

sample2.8s

Algorithm
intervals
Results
629.0ms1575×body1280valid
523.0ms8978×body80nan
355.0ms5580×body80valid
247.0ms371×body2560valid
244.0ms908×body640valid
86.0ms437×body320valid
29.0ms208×body160valid