Details

Time bar (total: 8.4s)

sample90.0ms

Algorithm
intervals
Results
19.0ms53×body1280valid
16.0ms277×body80nan
10.0ms174×body80valid
10.0ms16×body2560valid
5.0ms22×body640valid
3.0ms15×body320valid
1.0ms8×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.3b
(/ a (* b 3.0))
28.0b
(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:
4.0ms
(/ (* z t) 3.0)
6.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
4.0ms
(/ a (* b 3.0))
5.0ms
(cos (- y (/ (* z t) 3.0)))

series163.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (* z t) 3.0)
91.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
22.0ms
(/ a (* b 3.0))
33.0ms
(cos (- y (/ (* z t) 3.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0404507
11689429
25001426

prune345.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 18.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
1.4b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
31.4b
(cos (/ (* z t) 3.0))
31.8b
(sin (/ (* z t) 3.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1 add-exp-log add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
2×associate-*r/ associate-*r* associate-*l* *-commutative
1×cos-mult sin-mult
Counts
4 → 60
Calls
4 calls:
8.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
9.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
2.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series237.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
95.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
9.0ms
(cos (/ (* z t) 3.0))
20.0ms
(sin (/ (* z t) 3.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0351704
11500545
25001540

prune372.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 18.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
1.4b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
30.9b
(sin (* 0.3333333333333333 (* t z)))
31.4b
(cos (/ (* z t) 3.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×associate-*r* associate-*l* add-log-exp
2×*-commutative sin-mult
1×associate-*r/ unswap-sqr
Counts
4 → 56
Calls
4 calls:
6.0ms
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
10.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
3.0ms
(sin (* 0.3333333333333333 (* t z)))
2.0ms
(cos (/ (* z t) 3.0))

series164.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
94.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
17.0ms
(sin (* 0.3333333333333333 (* t z)))
10.0ms
(cos (/ (* z t) 3.0))

simplify165.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0221552
1946444
24946442
35001442

prune407.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 18.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (cos (/ (* z t) 3.0)) 3)
1.4b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
30.9b
(sin (* 0.3333333333333333 (* t z)))
31.4b
(cos (/ (* z t) 3.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×unpow-prod-down pow-unpow cube-prod
1×cube-mult pow-to-exp pow-pow unpow3 associate-*r/ associate-*r* associate-*l* pow-exp *-commutative sin-mult rem-cube-cbrt sqr-pow
Counts
4 → 60
Calls
4 calls:
2.0ms
(pow (cos (/ (* z t) 3.0)) 3)
9.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
3.0ms
(sin (* 0.3333333333333333 (* t z)))
2.0ms
(cos (/ (* z t) 3.0))

series142.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(pow (cos (/ (* z t) 3.0)) 3)
93.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
16.0ms
(sin (* 0.3333333333333333 (* t z)))
10.0ms
(cos (/ (* z t) 3.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0267531
11116433
25002427

prune313.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 18.1b

regimes2.9s

Accuracy

62.8% (1.4b remaining)

Error of 17.7b against oracle of 16.3b and baseline of 20.0b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05956
16156
26156

end0.0ms

sample2.8s

Algorithm
intervals
Results
615.0ms1564×body1280valid
583.0ms9051×body80nan
329.0ms5599×body80valid
238.0ms910×body640valid
232.0ms363×body2560valid
91.0ms471×body320valid
30.0ms210×body160valid