Details

Time bar (total: 9.1s)

sample105.0ms

Algorithm
intervals
Results
19.0ms305×body80nan
18.0ms49×body1280valid
13.0ms184×body80valid
9.0ms36×body640valid
6.0ms9×body2560valid
3.0ms15×body320valid
1.0ms4×body160valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03310
15810
28210
39910
410710
510910
610910

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(/ a (* b 3.0))
0.3b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
22.3b
(cos (- y (/ (* z t) 3.0)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
23×cos-sum
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×prod-diff
19×add-exp-log add-cbrt-cube
15×times-frac
9×pow1
5×prod-exp cbrt-unprod div-inv
4×cbrt-undiv expm1-log1p-u div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
3×cos-diff associate-*r* pow-prod-down
2×frac-2neg clear-num
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
Counts
4 → 101
Calls
4 calls:
11.0ms
(/ (* z t) 3.0)
8.0ms
(/ a (* b 3.0))
31.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.0ms
(cos (- y (/ (* z t) 3.0)))

series145.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/ (* z t) 3.0)
16.0ms
(/ a (* b 3.0))
84.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
30.0ms
(cos (- y (/ (* z t) 3.0)))

simplify70.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06851511
123611261
250011258

prune438.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 15.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
3.0b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
27.0b
(cos (/ (* z t) 3.0))
27.0b
(sin (/ (* z t) 3.0))

rewrite86.0ms

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 expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
2×associate-*r/ associate-*r* associate-*l* *-commutative
1×cos-mult sin-mult
Counts
4 → 68
Calls
4 calls:
37.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
40.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
3.0ms
(cos (/ (* z t) 3.0))
3.0ms
(sin (/ (* z t) 3.0))

series214.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
88.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
9.0ms
(cos (/ (* z t) 3.0))
15.0ms
(sin (/ (* z t) 3.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0362756
11523597
25002592

prune435.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 15.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
3.0b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
26.9b
(cos (* 0.3333333333333333 (* t z)))
27.0b
(sin (/ (* z t) 3.0))

rewrite135.0ms

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 expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
2×associate-*r/ associate-*r* associate-*l* *-commutative
1×cos-mult sin-mult
Counts
4 → 68
Calls
4 calls:
73.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
38.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
16.0ms
(cos (* 0.3333333333333333 (* t z)))
5.0ms
(sin (/ (* z t) 3.0))

series203.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
83.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
9.0ms
(cos (* 0.3333333333333333 (* t z)))
14.0ms
(sin (/ (* z t) 3.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0366756
11552597
25001592

prune535.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 15.2b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
3.0b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
26.6b
(sin (* 0.3333333333333333 (* t z)))
26.9b
(cos (* 0.3333333333333333 (* t z)))

rewrite188.0ms

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 expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
2×associate-*r/ associate-*r* associate-*l* *-commutative
1×cos-mult sin-mult
Counts
4 → 68
Calls
4 calls:
71.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
80.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
18.0ms
(sin (* 0.3333333333333333 (* t z)))
16.0ms
(cos (* 0.3333333333333333 (* t z)))

series212.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
83.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
17.0ms
(sin (* 0.3333333333333333 (* t z)))
9.0ms
(cos (* 0.3333333333333333 (* t z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0352756
11530597
25002592

prune303.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 15.2b

regimes2.8s

Accuracy

48.4% (2.1b remaining)

Error of 18.3b against oracle of 16.1b and baseline of 20.3b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05638
15838
25838

end0.0ms

sample2.9s

Algorithm
intervals
Results
555.0ms9031×body80nan
555.0ms1533×body1280valid
334.0ms5669×body80valid
243.0ms380×body2560valid
230.0ms920×body640valid
82.0ms442×body320valid
28.0ms215×body160valid