Details

Time bar (total: 9.8s)

sample107.0ms

Algorithm
intervals
Results
22.0ms310×body80nan
20.0ms51×body1280valid
12.0ms17×body2560valid
11.0ms39×body640valid
11.0ms169×body80valid
2.0ms8×body320valid
1.0ms4×body160valid

simplify22.0ms

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: 22.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* b 3.0))
0.2b
(/ (* z t) 3.0)
0.3b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.2b
(cos (- y (/ (* z t) 3.0)))

rewrite34.0ms

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:
6.0ms
(/ a (* b 3.0))
5.0ms
(/ (* z t) 3.0)
10.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
9.0ms
(cos (- y (/ (* z t) 3.0)))

series210.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ a (* b 3.0))
22.0ms
(/ (* z t) 3.0)
119.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
46.0ms
(cos (- y (/ (* z t) 3.0)))

simplify83.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06851511
123611261
250011258

prune496.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 17.9b

localize29.0ms

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))))
28.4b
(cos (/ (* z t) 3.0))
28.8b
(sin (/ (* z t) 3.0))

rewrite27.0ms

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:
9.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
10.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
2.0ms
(cos (/ (* z t) 3.0))
3.0ms
(sin (/ (* z t) 3.0))

series541.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
360.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
12.0ms
(cos (/ (* z t) 3.0))
26.0ms
(sin (/ (* z t) 3.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0362756
11523597
25002592

prune486.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 17.8b

localize32.0ms

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 (* 0.3333333333333333 (* t z)))))
28.4b
(cos (/ (* z t) 3.0))
28.7b
(sin (* 0.3333333333333333 (* t z)))

rewrite30.0ms

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:
9.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
13.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
2.0ms
(cos (/ (* z t) 3.0))
3.0ms
(sin (* 0.3333333333333333 (* t z)))

series273.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
119.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
13.0ms
(cos (/ (* z t) 3.0))
19.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0366756
11546597
25001592

prune507.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 17.8b

localize36.0ms

Local error

Found 4 expressions with local error:

0.4b
(log (exp (cos (/ (* z t) 3.0))))
2.8b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
28.4b
(cos (/ (* z t) 3.0))
28.7b
(sin (* 0.3333333333333333 (* t z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1
16×add-exp-log add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log-pow log1p-expm1-u add-log-exp
3×log-prod exp-prod
1×associate-*r/ rem-log-exp associate-*r* associate-*l* *-commutative sin-mult
Counts
4 → 60
Calls
4 calls:
4.0ms
(log (exp (cos (/ (* z t) 3.0))))
10.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
2.0ms
(cos (/ (* z t) 3.0))
3.0ms
(sin (* 0.3333333333333333 (* t z)))

series165.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(log (exp (cos (/ (* z t) 3.0))))
115.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
13.0ms
(cos (/ (* z t) 3.0))
19.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify150.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (143.0ms)

IterNodesCost
0234534
1844435
24138433
35001423

prune405.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 17.8b

regimes3.0s

Accuracy

59.2% (1.6b remaining)

Error of 17.8b against oracle of 16.2b and baseline of 20.1b

bsearch3.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05643
15843
25843

end0.0ms

sample3.0s

Algorithm
intervals
Results
704.0ms1628×body1280valid
571.0ms9145×body80nan
377.0ms5529×body80valid
282.0ms950×body640valid
268.0ms372×body2560valid
90.0ms402×body320valid
29.0ms192×body160valid