Details

Time bar (total: 9.8s)

sample98.0ms

Algorithm
intervals
Results
18.0ms49×body1280valid
16.0ms250×body80nan
10.0ms15×body2560valid
10.0ms170×body80valid
9.0ms32×body640valid
3.0ms15×body320valid
1.0ms7×body160valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03310
15810
28210
39910
410710
510910
610910

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.7b

localize21.0ms

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))))
27.3b
(cos (- y (/ (* z t) 3.0)))

rewrite79.0ms

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:
9.0ms
(/ (* z t) 3.0)
7.0ms
(/ a (* b 3.0))
35.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
23.0ms
(cos (- y (/ (* z t) 3.0)))

series160.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (* z t) 3.0)
17.0ms
(/ a (* b 3.0))
89.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
32.0ms
(cos (- y (/ (* z t) 3.0)))

simplify66.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06851511
123611261
250011258

prune463.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 17.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.1b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
31.2b
(cos (/ (* z t) 3.0))
31.7b
(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:
38.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
39.0ms
(* (* 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))))
8.0ms
(cos (/ (* z t) 3.0))
14.0ms
(sin (/ (* z t) 3.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0362756
11523597
25002592

prune515.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 17.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(log1p (sin (/ (* z t) 3.0)))
2.1b
(* (* 2.0 (sqrt x)) (* (sin y) (expm1 (log1p (sin (/ (* z t) 3.0))))))
31.2b
(cos (/ (* z t) 3.0))
31.7b
(sin (/ (* z t) 3.0))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
5×expm1-log1p-u
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
1×log1p-udef log1p-expm1 associate-*r* associate-*l* *-commutative
Counts
4 → 53
Calls
4 calls:
0.0ms
(log1p (sin (/ (* z t) 3.0)))
37.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (expm1 (log1p (sin (/ (* z t) 3.0))))))
3.0ms
(cos (/ (* z t) 3.0))
3.0ms
(sin (/ (* z t) 3.0))

series202.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(log1p (sin (/ (* z t) 3.0)))
113.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (expm1 (log1p (sin (/ (* z t) 3.0))))))
9.0ms
(cos (/ (* z t) 3.0))
14.0ms
(sin (/ (* z t) 3.0))

simplify142.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (136.0ms)

IterNodesCost
0258544
1978423
24880421
35001420

prune471.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 17.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(log1p (sin (/ (* z t) 3.0)))
1.2b
(* (* (* 2.0 (sqrt x)) (sin y)) (expm1 (log1p (sin (/ (* z t) 3.0)))))
31.2b
(cos (/ (* z t) 3.0))
31.7b
(sin (/ (* z t) 3.0))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity
4×log1p-expm1-u add-log-exp
3×associate-*r*
1×log1p-udef log1p-expm1 associate-*l* *-commutative
Counts
4 → 52
Calls
4 calls:
0.0ms
(log1p (sin (/ (* z t) 3.0)))
78.0ms
(* (* (* 2.0 (sqrt x)) (sin y)) (expm1 (log1p (sin (/ (* z t) 3.0)))))
3.0ms
(cos (/ (* z t) 3.0))
3.0ms
(sin (/ (* z t) 3.0))

series197.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(log1p (sin (/ (* z t) 3.0)))
110.0ms
(* (* (* 2.0 (sqrt x)) (sin y)) (expm1 (log1p (sin (/ (* z t) 3.0)))))
9.0ms
(cos (/ (* z t) 3.0))
15.0ms
(sin (/ (* z t) 3.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0267527
11125417
25002415

prune350.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 17.0b

regimes3.2s

Accuracy

47.4% (2.2b remaining)

Error of 18.1b against oracle of 15.9b and baseline of 20.1b

bsearch5.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05135
15135

end0.0ms

sample3.1s

Algorithm
intervals
Results
619.0ms1551×body1280valid
598.0ms9214×body80nan
351.0ms5646×body80valid
259.0ms956×body640valid
249.0ms382×body2560valid
85.0ms450×body320valid
25.0ms191×body160valid