Details

Time bar (total: 9.4s)

sample100.0ms

Algorithm
intervals
Results
20.0ms301×body80nan
19.0ms48×body1280valid
11.0ms17×body2560valid
10.0ms176×body80valid
6.0ms23×body640valid
2.0ms10×body320valid
1.0ms10×body160valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03310
15810
28210
39910
410710
510910
610910

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.7b

localize19.0ms

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))))
24.3b
(cos (- y (/ (* z t) 3.0)))

rewrite35.0ms

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:
5.0ms
(/ (* z t) 3.0)
4.0ms
(/ a (* b 3.0))
10.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
12.0ms
(cos (- y (/ (* z t) 3.0)))

series183.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (* z t) 3.0)
20.0ms
(/ a (* b 3.0))
101.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
38.0ms
(cos (- y (/ (* z t) 3.0)))

simplify79.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06851511
123611261
250011258

prune503.0ms

Filtered
113 candidates to 72 candidates (63.7%)
Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 15.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.3b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.8b
(cos (/ (* z t) 3.0))
29.1b
(sin (/ (* z t) 3.0))

rewrite25.0ms

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))
2.0ms
(sin (/ (* z t) 3.0))

series275.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
121.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
11.0ms
(cos (/ (* z t) 3.0))
18.0ms
(sin (/ (* z t) 3.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0362756
11523597
25002592

prune533.0ms

Filtered
80 candidates to 52 candidates (65.0%)
Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 15.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
2.3b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.9b
(cos (* 0.3333333333333333 (* t z)))
29.1b
(sin (/ (* z t) 3.0))

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:
10.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
12.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
3.0ms
(cos (* 0.3333333333333333 (* t z)))
3.0ms
(sin (/ (* z t) 3.0))

series252.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
103.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
10.0ms
(cos (* 0.3333333333333333 (* t z)))
17.0ms
(sin (/ (* z t) 3.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0366756
11552597
25001592

prune517.0ms

Filtered
80 candidates to 50 candidates (62.5%)
Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 15.1b

localize35.0ms

Local error

Found 4 expressions with local error:

28.9b
(cos (* 0.3333333333333333 (* t z)))
28.9b
(cos (* 0.3333333333333333 (* t z)))
28.9b
(cos (* 0.3333333333333333 (* t z)))
29.1b
(sin (/ (* z t) 3.0))

rewrite12.0ms

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:
3.0ms
(cos (* 0.3333333333333333 (* t z)))
3.0ms
(cos (* 0.3333333333333333 (* t z)))
3.0ms
(cos (* 0.3333333333333333 (* t z)))
2.0ms
(sin (/ (* z t) 3.0))

series54.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(cos (* 0.3333333333333333 (* t z)))
11.0ms
(cos (* 0.3333333333333333 (* t z)))
11.0ms
(cos (* 0.3333333333333333 (* t z)))
22.0ms
(sin (/ (* z t) 3.0))

simplify118.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
039218
155190
266190
375190
4103190
5177190
6696190
72268190
85001190

prune356.0ms

Filtered
48 candidates to 41 candidates (85.4%)
Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 15.0b

regimes3.2s

Accuracy

59.8% (1.6b remaining)

Error of 17.8b against oracle of 16.2b and baseline of 20.2b

bsearch3.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05654
15854
25854

end0.0ms

sample2.9s

Algorithm
intervals
Results
650.0ms1607×body1280valid
541.0ms8986×body80nan
345.0ms5557×body80valid
277.0ms931×body640valid
256.0ms371×body2560valid
90.0ms426×body320valid
29.0ms200×body160valid