Details

Time bar (total: 8.0s)

sample100.0ms

Algorithm
intervals
Results
19.0ms289×body80nan
18.0ms48×body1280valid
14.0ms186×body80valid
12.0ms18×body2560valid
6.0ms23×body640valid
3.0ms13×body320valid
1.0ms5×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.3b
(/ a (* b 3.0))
0.3b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.8b
(cos (- y (/ (* z t) 3.0)))

rewrite29.0ms

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:
3.0ms
(/ (* z t) 3.0)
3.0ms
(/ a (* b 3.0))
11.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
8.0ms
(cos (- y (/ (* z t) 3.0)))

series154.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ (* z t) 3.0)
17.0ms
(/ a (* b 3.0))
87.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
32.0ms
(cos (- y (/ (* z t) 3.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0404507
11689429
25001426

prune310.0ms

Filtered
84 candidates to 58 candidates (69.0%)
Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 15.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.8b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.5b
(sin (/ (* z t) 3.0))
28.7b
(cos (/ (* z t) 3.0))

rewrite33.0ms

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:
13.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
15.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
1.0ms
(sin (/ (* z t) 3.0))
1.0ms
(cos (/ (* z t) 3.0))

series258.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
127.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
14.0ms
(sin (/ (* z t) 3.0))
10.0ms
(cos (/ (* z t) 3.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0351704
11500545
25001540

prune352.0ms

Filtered
72 candidates to 44 candidates (61.1%)
Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 15.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.7b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
28.7b
(cos (/ (* z t) 3.0))
28.9b
(sin (* 0.3333333333333333 (* t z)))

rewrite45.0ms

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:
14.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
23.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
1.0ms
(cos (/ (* z t) 3.0))
4.0ms
(sin (* 0.3333333333333333 (* t z)))

series221.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
89.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
9.0ms
(cos (/ (* z t) 3.0))
16.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0355704
11518545
25002540

prune337.0ms

Filtered
72 candidates to 41 candidates (56.9%)
Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 15.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (cos (/ (* z t) 3.0)) 3)
2.7b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
28.7b
(cos (/ (* z t) 3.0))
28.9b
(sin (* 0.3333333333333333 (* t z)))

rewrite31.0ms

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:
1.0ms
(pow (cos (/ (* z t) 3.0)) 3)
23.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
1.0ms
(cos (/ (* z t) 3.0))
4.0ms
(sin (* 0.3333333333333333 (* t z)))

series136.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(pow (cos (/ (* z t) 3.0)) 3)
91.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
9.0ms
(cos (/ (* z t) 3.0))
16.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0267531
11114433
25002427

prune301.0ms

Filtered
72 candidates to 43 candidates (59.7%)
Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 15.1b

regimes2.5s

Accuracy

62.3% (1.5b remaining)

Error of 17.6b against oracle of 16.1b and baseline of 20.0b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06135
16335
26335

end0.0ms

sample2.9s

Algorithm
intervals
Results
656.0ms1626×body1280valid
622.0ms9085×body80nan
352.0ms5659×body80valid
253.0ms893×body640valid
240.0ms358×body2560valid
86.0ms433×body320valid
25.0ms182×body160valid