Details

Time bar (total: 11.6s)

sample187.0ms

Algorithm
intervals
Results
96.0ms91×body1280valid
40.0ms58×body640valid
14.0ms66×body80valid
12.0ms26×body320valid
5.0ms15×body160valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07430
118230
265730
3272730
4500130

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.9b
(- (cos x) (cos y))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
30×flip3-- flip--
28×frac-times associate-*r/
25×add-sqr-sqrt
16×*-un-lft-identity
15×pow1 add-exp-log add-cbrt-cube
14×associate-*l/
12×associate-*r*
8×add-cube-cbrt add-log-exp
7×associate-*l* pow-prod-down prod-exp cbrt-unprod
6×sub-neg difference-of-squares
5×sqrt-prod
4×distribute-rgt-in distribute-lft-in distribute-lft-out--
2×diff-log *-commutative diff-cos unswap-sqr
1×times-frac
Counts
4 → 115
Calls
4 calls:
24.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
11.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- 3.0 (sqrt 5.0))
4.0ms
(- (cos x) (cos y))

series372.0ms

Counts
4 → 10
Calls
4 calls:
225.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
89.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
58.0ms
(- (cos x) (cos y))

simplify108.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08441973
144131829
250011829

prune745.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
0.3b
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.9b
(- (cos x) (cos y))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
31×*-un-lft-identity
29×flip3-- associate-*l* flip--
28×frac-times associate-*r/
20×add-exp-log times-frac add-cbrt-cube
19×add-cube-cbrt
17×pow1
15×associate-*r* associate-*l/
10×difference-of-squares
9×prod-exp cbrt-unprod
8×pow-prod-down
7×sqrt-prod
6×distribute-lft-out-- add-log-exp
5×sub-neg
4×distribute-rgt-in distribute-lft-in unswap-sqr
3×*-commutative
2×diff-cos
1×cbrt-undiv diff-log div-exp div-inv
Counts
4 → 141
Calls
4 calls:
10.0ms
(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
24.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
11.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- (cos x) (cos y))

series479.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
226.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
93.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
59.0ms
(- (cos x) (cos y))

simplify45.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
09772200
150012033

prune999.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.9b
(- (cos x) (cos y))
3.3b
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
15×*-un-lft-identity
12×pow1 associate-*r*
11×add-exp-log add-cbrt-cube
10×associate-*r/
9×add-cube-cbrt
8×flip3-- flip--
7×sub-neg log-prod associate-*l* add-log-exp
6×distribute-rgt-in distribute-lft-in
4×frac-times exp-sum pow-prod-down prod-exp sqrt-prod cbrt-unprod difference-of-squares
3×log-pow distribute-lft-out--
2×associate-*l/ *-commutative diff-cos unswap-sqr
1×exp-prod exp-to-pow times-frac diff-log rem-log-exp
Counts
4 → 97
Calls
4 calls:
15.0ms
(* (* (log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
11.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- (cos x) (cos y))
3.0ms
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

series485.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(* (* (log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
96.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
61.0ms
(- (cos x) (cos y))
97.0ms
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

simplify75.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05341363
124631211
250011211

prune778.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3)
1.9b
(- (cos x) (cos y))
3.3b
(log (exp (cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3))))
6.6b
(cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
12×log-pow
11×add-sqr-sqrt exp-prod *-un-lft-identity
9×add-cube-cbrt
8×pow1
7×add-exp-log add-cbrt-cube
6×add-log-exp
4×cube-div associate-*r/
3×cube-mult unpow-prod-down pow-unpow log-prod flip3-- unpow3 cube-prod flip-- sqr-pow
2×cbrt-div pow-pow pow-exp rem-cube-cbrt
1×pow-to-exp sub-neg pow1/3 diff-log rem-log-exp pow-prod-down prod-exp rem-cbrt-cube cbrt-unprod diff-cos distribute-lft-out-- difference-of-squares
Counts
4 → 81
Calls
4 calls:
11.0ms
(pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3)
5.0ms
(- (cos x) (cos y))
4.0ms
(log (exp (cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3))))
4.0ms
(cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3))

series633.0ms

Counts
4 → 12
Calls
4 calls:
376.0ms
(pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3)
59.0ms
(- (cos x) (cos y))
96.0ms
(log (exp (cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3))))
101.0ms
(cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3))

simplify48.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0382828
11369756
25001756

prune659.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

regimes240.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05240
15240

end0.0ms

sample5.4s

Algorithm
intervals
Results
3.1s2798×body1280valid
1.2s1802×body640valid
356.0ms737×body320valid
323.0ms2303×body80valid
123.0ms360×body160valid