Details

Time bar (total: 9.0s)

sample107.0ms

Algorithm
intervals
Results
23.0ms332×body80nan
20.0ms49×body1280valid
11.0ms168×body80valid
10.0ms11×body2560valid
9.0ms32×body640valid
4.0ms20×body320valid
1.0ms5×body160valid

simplify15.0ms

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: 18.4b

localize17.0ms

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))))
20.5b
(cos (- y (/ (* z t) 3.0)))

rewrite41.0ms

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
(/ (* z t) 3.0)
3.0ms
(/ a (* b 3.0))
18.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
14.0ms
(cos (- y (/ (* z t) 3.0)))

series173.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (* z t) 3.0)
19.0ms
(/ a (* b 3.0))
97.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
36.0ms
(cos (- y (/ (* z t) 3.0)))

simplify73.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06851511
123611261
250011258

prune457.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 14.5b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
3.1b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
24.2b
(cos (/ (* z t) 3.0))
24.6b
(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))))
16.0ms
(* (* 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))

series241.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
100.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
10.0ms
(cos (/ (* z t) 3.0))
16.0ms
(sin (/ (* z t) 3.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0362756
11523597
25002592

prune450.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 14.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.2b
(* (* (* 2.0 (sqrt x)) (sin y)) (sin (/ (* z t) 3.0)))
24.2b
(cos (/ (* z t) 3.0))
24.6b
(sin (/ (* z t) 3.0))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log add-cbrt-cube
14×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×associate-*l* *-commutative
1×associate-*r/ cos-mult
Counts
4 → 66
Calls
4 calls:
17.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
36.0ms
(* (* (* 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))

series242.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
99.0ms
(* (* (* 2.0 (sqrt x)) (sin y)) (sin (/ (* z t) 3.0)))
10.0ms
(cos (/ (* z t) 3.0))
18.0ms
(sin (/ (* z t) 3.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0362725
11646580
25002575

prune457.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 14.5b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (log (exp (cos (/ (* z t) 3.0))))))
2.2b
(* (* (* 2.0 (sqrt x)) (sin y)) (sin (/ (* z t) 3.0)))
24.2b
(cos (/ (* z t) 3.0))
24.6b
(sin (/ (* z t) 3.0))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log add-cbrt-cube
14×pow-prod-down prod-exp cbrt-unprod
12×distribute-rgt-in log-prod distribute-lft-in
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×associate-*l* *-commutative
Counts
4 → 77
Calls
4 calls:
19.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (log (exp (cos (/ (* z t) 3.0))))))
38.0ms
(* (* (* 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))

series240.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (log (exp (cos (/ (* z t) 3.0))))))
95.0ms
(* (* (* 2.0 (sqrt x)) (sin y)) (sin (/ (* z t) 3.0)))
10.0ms
(cos (/ (* z t) 3.0))
16.0ms
(sin (/ (* z t) 3.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04491011
11872819
25001794

prune404.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 14.5b

regimes2.5s

Accuracy

55.6% (1.8b remaining)

Error of 17.9b against oracle of 16.0b and baseline of 20.1b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05348
15348

end0.0ms

sample3.1s

Algorithm
intervals
Results
706.0ms1621×body1280valid
681.0ms9279×body80nan
382.0ms5544×body80valid
269.0ms913×body640valid
251.0ms351×body2560valid
100.0ms459×body320valid
35.0ms216×body160valid