Details

Time bar (total: 12.1s)

sample164.0ms

Algorithm
intervals
Results
42.0ms58×body1280valid
38.0ms295×body80nan
21.0ms165×body80valid
13.0ms29×body640valid
11.0ms12×body2560valid
5.0ms15×body320valid
2.0ms9×body160valid

simplify16.0ms

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: 23.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.4b
(/ (* z t) 3.0)
0.4b
(/ a (* b 3.0))
25.5b
(cos (- y (/ (* z t) 3.0)))

rewrite39.0ms

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:
15.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms
(/ (* z t) 3.0)
3.0ms
(/ a (* b 3.0))
14.0ms
(cos (- y (/ (* z t) 3.0)))

series173.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
18.0ms
(/ (* z t) 3.0)
19.0ms
(/ a (* b 3.0))
39.0ms
(cos (- y (/ (* z t) 3.0)))

simplify71.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06851511
123611261
250011258

prune511.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 18.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (* z t) 3.0)
0.4b
(/ a (* b 3.0))
29.6b
(cos (/ (* z t) 3.0))
30.1b
(sin (- (/ (* z t) 3.0)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
4×pow1 cbrt-undiv expm1-log1p-u div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod div-inv
1×neg-sub0 sin-neg sin-diff
Counts
4 → 66
Calls
4 calls:
3.0ms
(/ (* z t) 3.0)
6.0ms
(/ a (* b 3.0))
1.0ms
(cos (/ (* z t) 3.0))
4.0ms
(sin (- (/ (* z t) 3.0)))

series68.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (* z t) 3.0)
19.0ms
(/ a (* b 3.0))
10.0ms
(cos (/ (* z t) 3.0))
21.0ms
(sin (- (/ (* z t) 3.0)))

simplify95.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0265314
11001267
24368267
35001267

prune538.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 18.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (* z t) 3.0)
0.4b
(/ a (* b 3.0))
29.6b
(cos (/ (* z t) 3.0))
30.1b
(sin (- (/ z (/ 3.0 t))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
4×pow1 cbrt-undiv expm1-log1p-u div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod div-inv
1×neg-sub0 sin-neg sin-diff
Counts
4 → 66
Calls
4 calls:
3.0ms
(/ (* z t) 3.0)
3.0ms
(/ a (* b 3.0))
1.0ms
(cos (/ (* z t) 3.0))
17.0ms
(sin (- (/ z (/ 3.0 t))))

series70.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (* z t) 3.0)
18.0ms
(/ a (* b 3.0))
10.0ms
(cos (/ (* z t) 3.0))
24.0ms
(sin (- (/ z (/ 3.0 t))))

simplify94.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0268314
11033267
24519267
35002267

prune572.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 18.7b

localize39.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (* z t) (* (cbrt 3.0) (cbrt 3.0)))
0.4b
(/ a (* b 3.0))
29.9b
(cos (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
30.1b
(sin (- (/ z (/ 3.0 t))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
17×add-cbrt-cube
6×cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp
5×prod-exp cbrt-unprod
4×pow1 expm1-log1p-u times-frac log1p-expm1-u associate-/l* add-log-exp
2×frac-2neg clear-num associate-/r* div-inv
1×neg-sub0 sin-neg sin-diff
Counts
4 → 66
Calls
4 calls:
6.0ms
(/ (* z t) (* (cbrt 3.0) (cbrt 3.0)))
3.0ms
(/ a (* b 3.0))
5.0ms
(cos (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
16.0ms
(sin (- (/ z (/ 3.0 t))))

series449.0ms

Counts
4 → 12
Calls
4 calls:
345.0ms
(/ (* z t) (* (cbrt 3.0) (cbrt 3.0)))
18.0ms
(/ a (* b 3.0))
65.0ms
(cos (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
21.0ms
(sin (- (/ z (/ 3.0 t))))

simplify43.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0318456
11298379
25001373

prune434.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 18.7b

regimes3.8s

Accuracy

53.5% (1.8b remaining)

Error of 18.4b against oracle of 16.6b and baseline of 20.5b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05736
15736

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.2s9323×body80nan
1.1s1614×body1280valid
721.0ms5557×body80valid
452.0ms934×body640valid
369.0ms384×body2560valid
162.0ms443×body320valid
51.0ms200×body160valid