Details

Time bar (total: 9.9s)

sample132.0ms

Algorithm
intervals
Results
30.0ms52×body1280valid
29.0ms277×body80nan
19.0ms183×body80valid
14.0ms34×body640valid
8.0ms9×body2560valid
3.0ms11×body320valid
1.0ms6×body160valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03310
15810
28210
39910
410710
510910
610910

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.3b
(/ a (* b 3.0))
26.4b
(cos (- y (/ (* z t) 3.0)))

rewrite37.0ms

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

series162.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (* z t) 3.0)
91.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
21.0ms
(/ a (* b 3.0))
33.0ms
(cos (- y (/ (* z t) 3.0)))

simplify70.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06851511
123611261
250011258

prune433.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 15.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.0b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
29.9b
(sin (/ (* z t) 3.0))
30.1b
(cos (/ (* z t) 3.0))

rewrite34.0ms

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))))
15.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
1.0ms
(sin (/ (* z t) 3.0))
1.0ms
(cos (/ (* z t) 3.0))

series233.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
95.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
15.0ms
(sin (/ (* z t) 3.0))
10.0ms
(cos (/ (* z t) 3.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0362756
11523597
25002592

prune435.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 15.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
2.0b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
29.5b
(sin (* 0.3333333333333333 (* t z)))
30.1b
(cos (/ (* z t) 3.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×*-commutative sin-mult
1×associate-*r/ unswap-sqr
Counts
4 → 64
Calls
4 calls:
10.0ms
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
24.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
4.0ms
(sin (* 0.3333333333333333 (* t z)))
2.0ms
(cos (/ (* z t) 3.0))

series366.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
292.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
17.0ms
(sin (* 0.3333333333333333 (* t z)))
14.0ms
(cos (/ (* z t) 3.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0230598
1964490
25001488

prune456.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 15.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
2.0b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
29.5b
(sin (* 0.3333333333333333 (* t z)))
30.2b
(cos (* 0.3333333333333333 (* t z)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×*-commutative sin-mult
1×associate-*r/ unswap-sqr
Counts
4 → 64
Calls
4 calls:
9.0ms
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
25.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
4.0ms
(sin (* 0.3333333333333333 (* t z)))
4.0ms
(cos (* 0.3333333333333333 (* t z)))

series166.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
95.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
20.0ms
(sin (* 0.3333333333333333 (* t z)))
10.0ms
(cos (* 0.3333333333333333 (* t z)))

simplify159.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0225598
1953490
24990488
35001488

prune321.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 15.4b

regimes2.6s

Accuracy

52.3% (2.2b remaining)

Error of 18.4b against oracle of 16.2b and baseline of 20.8b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04625
15025
25025

end0.0ms

sample4.1s

Algorithm
intervals
Results
948.0ms1608×body1280valid
902.0ms9238×body80nan
603.0ms5669×body80valid
402.0ms949×body640valid
318.0ms353×body2560valid
136.0ms425×body320valid
44.0ms200×body160valid