Details

Time bar (total: 9.8s)

sample117.0ms

Algorithm
intervals
Results
30.0ms284×body80nan
21.0ms46×body1280valid
16.0ms170×body80valid
10.0ms14×body2560valid
9.0ms28×body640valid
4.0ms17×body320valid
1.0ms7×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: 20.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* b 3.0))
0.2b
(/ (* z t) 3.0)
0.3b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.7b
(cos (- y (/ (* z t) 3.0)))

rewrite40.0ms

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
(/ a (* b 3.0))
3.0ms
(/ (* z t) 3.0)
15.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
16.0ms
(cos (- y (/ (* z t) 3.0)))

series156.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ a (* b 3.0))
16.0ms
(/ (* z t) 3.0)
88.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
32.0ms
(cos (- y (/ (* z t) 3.0)))

simplify68.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06851511
123611261
250011258

prune429.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 16.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.5b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
30.0b
(cos (/ (* z t) 3.0))
30.1b
(sin (/ (* 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))))
2.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series231.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
93.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
12.0ms
(cos (/ (* z t) 3.0))
15.0ms
(sin (/ (* z t) 3.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0362756
11523597
25002592

prune453.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 16.5b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.6b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
29.7b
(sin (* 0.3333333333333333 (* t z)))
30.0b
(cos (/ (* z t) 3.0))

rewrite79.0ms

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:
24.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
42.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
7.0ms
(sin (* 0.3333333333333333 (* t z)))
2.0ms
(cos (/ (* z t) 3.0))

series254.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
111.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
24.0ms
(sin (* 0.3333333333333333 (* t z)))
15.0ms
(cos (/ (* z t) 3.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0366756
11548597
25001592

prune453.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 16.4b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (cos (/ (* z t) 3.0)) 3)
2.6b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
29.7b
(sin (* 0.3333333333333333 (* t z)))
30.0b
(cos (/ (* z t) 3.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow cube-prod
1×cube-mult pow-to-exp pow-pow unpow3 associate-*r/ associate-*r* associate-*l* pow-exp *-commutative sin-mult rem-cube-cbrt sqr-pow
Counts
4 → 68
Calls
4 calls:
1.0ms
(pow (cos (/ (* z t) 3.0)) 3)
24.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
4.0ms
(sin (* 0.3333333333333333 (* t z)))
1.0ms
(cos (/ (* z t) 3.0))

series143.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(pow (cos (/ (* z t) 3.0)) 3)
96.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
16.0ms
(sin (* 0.3333333333333333 (* t z)))
10.0ms
(cos (/ (* z t) 3.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0276575
11134477
25001471

prune561.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 16.4b

regimes2.8s

Accuracy

60.5% (1.7b remaining)

Error of 17.8b against oracle of 16.1b and baseline of 20.3b

bsearch3.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05946
16146
26146

end0.0ms

sample3.7s

Algorithm
intervals
Results
970.0ms9424×body80nan
716.0ms1571×body1280valid
543.0ms5675×body80valid
298.0ms921×body640valid
293.0ms409×body2560valid
99.0ms398×body320valid
43.0ms211×body160valid