Details

Time bar (total: 10.5s)

sample98.0ms

Algorithm
intervals
Results
20.0ms49×body1280valid
17.0ms265×body80nan
11.0ms171×body80valid
10.0ms15×body2560valid
7.0ms27×body640valid
3.0ms12×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: 22.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(/ a (* b 3.0))
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
22.5b
(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:
6.0ms
(/ (* z t) 3.0)
5.0ms
(/ a (* b 3.0))
11.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
10.0ms
(cos (- y (/ (* z t) 3.0)))

series190.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* z t) 3.0)
26.0ms
(/ a (* b 3.0))
108.0ms
(* (* 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

prune514.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 17.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
0.2b
(* (sin y) (sin (/ (* z t) 3.0)))
28.3b
(cos (/ (* z t) 3.0))
28.5b
(sin (/ (* z t) 3.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×associate-*r/
2×*-commutative sin-mult
1×distribute-rgt-in distribute-lft-in flip3-+ frac-add cos-mult flip-+ unswap-sqr
Counts
4 → 64
Calls
4 calls:
11.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
6.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
2.0ms
(cos (/ (* z t) 3.0))
3.0ms
(sin (/ (* z t) 3.0))

series306.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
51.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
11.0ms
(cos (/ (* z t) 3.0))
18.0ms
(sin (/ (* z t) 3.0))

simplify69.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0380803
11833693
25002688

prune555.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 16.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.3333333333333333 (* t z))
0.3b
(* (sin (* 0.3333333333333333 (* t z))) (sin y))
28.3b
(cos (/ (* z t) 3.0))
28.9b
(sin (* 0.3333333333333333 (* t z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative
1×sin-mult unswap-sqr
Counts
4 → 59
Calls
4 calls:
6.0ms
(* 0.3333333333333333 (* t z))
6.0ms
(* (sin (* 0.3333333333333333 (* t z))) (sin y))
2.0ms
(cos (/ (* z t) 3.0))
3.0ms
(sin (* 0.3333333333333333 (* t z)))

series104.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* 0.3333333333333333 (* t z))
47.0ms
(* (sin (* 0.3333333333333333 (* t z))) (sin y))
11.0ms
(cos (/ (* z t) 3.0))
25.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify119.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0181355
1581304
21805304
34290304
45001304

prune798.0ms

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 16.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin (* 0.3333333333333333 (* t z))) (sin y))
1.7b
(log (exp (* (sin (* 0.3333333333333333 (* t z))) (sin y))))
28.3b
(cos (/ (* z t) 3.0))
28.9b
(sin (* 0.3333333333333333 (* t z)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×pow1 add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
5×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×log-prod associate-*r* associate-*l* log-pow
1×exp-prod exp-to-pow rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod sin-mult unswap-sqr
Counts
4 → 55
Calls
4 calls:
7.0ms
(* (sin (* 0.3333333333333333 (* t z))) (sin y))
3.0ms
(log (exp (* (sin (* 0.3333333333333333 (* t z))) (sin y))))
2.0ms
(cos (/ (* z t) 3.0))
3.0ms
(sin (* 0.3333333333333333 (* t z)))

series129.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (sin (* 0.3333333333333333 (* t z))) (sin y))
52.0ms
(log (exp (* (sin (* 0.3333333333333333 (* t z))) (sin y))))
10.0ms
(cos (/ (* z t) 3.0))
19.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify110.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 5 (104.0ms)

IterNodesCost
0122417
1299362
2616362
31054362
42938362
55002358

prune404.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 16.0b

regimes3.8s

Accuracy

50.7% (2.5b remaining)

Error of 17.8b against oracle of 15.2b and baseline of 20.4b

bsearch4.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06045
16245
26245

end0.0ms

sample3.0s

Algorithm
intervals
Results
624.0ms9130×body80nan
624.0ms1505×body1280valid
373.0ms5687×body80valid
291.0ms985×body640valid
251.0ms368×body2560valid
91.0ms436×body320valid
29.0ms193×body160valid