Details

Time bar (total: 8.3s)

sample103.0ms

Algorithm
intervals
Results
22.0ms310×body80nan
20.0ms51×body1280valid
11.0ms17×body2560valid
10.0ms39×body640valid
10.0ms169×body80valid
2.0ms8×body320valid
1.0ms4×body160valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03310
15810
28210
39910
410710
510910
610910

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.4b

localize17.0ms

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)))

rewrite42.0ms

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:
3.0ms
(/ a (* b 3.0))
4.0ms
(/ (* z t) 3.0)
15.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
17.0ms
(cos (- y (/ (* z t) 3.0)))

series157.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ a (* b 3.0))
17.0ms
(/ (* z t) 3.0)
89.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
32.0ms
(cos (- y (/ (* z t) 3.0)))

simplify68.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06851511
123611261
250011258

prune427.0ms

Filtered
113 candidates to 72 candidates (63.7%)
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))

rewrite35.0ms

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:
14.0ms
(* (* 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
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series223.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
90.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
10.0ms
(cos (/ (* z t) 3.0))
15.0ms
(sin (/ (* z t) 3.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0362756
11523597
25002592

prune415.0ms

Filtered
80 candidates to 52 candidates (65.0%)
Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 17.8b

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

rewrite46.0ms

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:
14.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
24.0ms
(* (* 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)))

series228.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
92.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
9.0ms
(cos (/ (* z t) 3.0))
19.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0366756
11546597
25001592

prune432.0ms

Filtered
80 candidates to 50 candidates (62.5%)
Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 17.8b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 36
Calls
4 calls:
1.0ms
(cos (/ (* z t) 3.0))
4.0ms
(sin (* 0.3333333333333333 (* t z)))
4.0ms
(sin (* 0.3333333333333333 (* t z)))
4.0ms
(sin (* 0.3333333333333333 (* t z)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(cos (/ (* z t) 3.0))
16.0ms
(sin (* 0.3333333333333333 (* t z)))
15.0ms
(sin (* 0.3333333333333333 (* t z)))
16.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify112.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
039222
153194
265194
374194
4102194
5176194
6695194
72267194
85001194

prune304.0ms

Filtered
48 candidates to 41 candidates (85.4%)
Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 17.8b

regimes2.6s

Accuracy

59.2% (1.6b remaining)

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

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05846
16046
26046

end0.0ms

sample2.8s

Algorithm
intervals
Results
629.0ms1628×body1280valid
602.0ms9145×body80nan
337.0ms5529×body80valid
254.0ms950×body640valid
240.0ms372×body2560valid
77.0ms402×body320valid
26.0ms192×body160valid