Details

Time bar (total: 13.1s)

sample216.0ms

Algorithm
intervals
Results
118.0ms100×body1280valid
49.0ms55×body640valid
10.0ms20×body320valid
10.0ms66×body80valid
8.0ms15×body160valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
07430
119327
270427
3299427
4500127

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

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)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.8b
(- (cos x) (cos y))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
184×add-sqr-sqrt
183×prod-diff
172×*-un-lft-identity
164×add-cube-cbrt
110×times-frac
82×distribute-rgt-in distribute-lft-in
14×sqrt-prod
12×associate-*r* div-inv
11×pow1 add-exp-log add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
8×add-log-exp
7×associate-*l* difference-of-squares
6×sub-neg fma-neg
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out--
2×diff-log associate-*l/ *-commutative unswap-sqr
1×diff-cos
Counts
4 → 291
Calls
4 calls:
68.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
39.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms
(- 3.0 (sqrt 5.0))
4.0ms
(- (cos x) (cos y))

series283.0ms

Counts
4 → 10
Calls
4 calls:
135.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
91.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
57.0ms
(- (cos x) (cos y))

simplify87.0ms

Algorithm
egg-herbie
Counts
301 → 301
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
017307731
150016094

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3)
1.0b
(- 3.0 (sqrt 5.0))
1.8b
(- (cos x) (cos y))
5.8b
(cbrt (pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
30×*-un-lft-identity
27×prod-diff
26×add-cube-cbrt
16×cube-div associate-*r/
14×flip3-- flip--
10×pow1 add-exp-log sqrt-prod add-cbrt-cube
8×cbrt-prod frac-times cbrt-div add-log-exp
6×fma-neg
4×expm1-log1p-u associate-*l/ log1p-expm1-u
3×pow-unpow pow-pow pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt difference-of-squares
2×cube-mult sub-neg unpow-prod-down diff-log unpow3 cube-prod distribute-lft-out-- sqr-pow
1×pow-to-exp pow1/3 rem-cbrt-cube diff-cos
Counts
4 → 129
Calls
4 calls:
43.0ms
(pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3)
5.0ms
(- 3.0 (sqrt 5.0))
4.0ms
(- (cos x) (cos y))
6.0ms
(cbrt (pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3))

series577.0ms

Counts
4 → 10
Calls
4 calls:
382.0ms
(pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3)
0.0ms
(- 3.0 (sqrt 5.0))
54.0ms
(- (cos x) (cos y))
141.0ms
(cbrt (pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3))

simplify105.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
08531927
137361615
250011612

prune831.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
0.3b
(* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.8b
(- (cos x) (cos y))

rewrite271.0ms

Algorithm
rewrite-expression-head
Rules
261×prod-diff
243×add-sqr-sqrt
238×*-un-lft-identity
232×add-cube-cbrt
205×distribute-rgt-in distribute-lft-in
163×times-frac
19×sqrt-prod
18×pow1 add-exp-log associate-*r/ add-cbrt-cube div-inv
10×associate-*l*
9×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
8×sub-neg add-log-exp
7×associate-*r*
6×fma-neg
5×difference-of-squares
4×expm1-log1p-u frac-times log1p-expm1-u
3×distribute-lft-out--
2×diff-log associate-*l/ *-commutative
1×diff-cos
Counts
4 → 375
Calls
4 calls:
67.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
167.0ms
(* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
5.0ms
(- 3.0 (sqrt 5.0))
4.0ms
(- (cos x) (cos y))

series300.0ms

Counts
4 → 10
Calls
4 calls:
94.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
146.0ms
(* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
60.0ms
(- (cos x) (cos y))

simplify123.0ms

Algorithm
egg-herbie
Counts
385 → 385
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
0204411245
150018715

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize38.0ms

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)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.8b
(- (cos x) (cos y))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
184×add-sqr-sqrt
183×prod-diff
172×*-un-lft-identity
164×add-cube-cbrt
110×times-frac
82×distribute-rgt-in distribute-lft-in
14×sqrt-prod
12×associate-*r* div-inv
11×pow1 add-exp-log add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
8×add-log-exp
7×associate-*l* difference-of-squares
6×sub-neg fma-neg
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out--
2×diff-log associate-*l/ *-commutative unswap-sqr
1×diff-cos
Counts
4 → 291
Calls
4 calls:
67.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
39.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms
(- 3.0 (sqrt 5.0))
4.0ms
(- (cos x) (cos y))

series294.0ms

Counts
4 → 10
Calls
4 calls:
142.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
93.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
60.0ms
(- (cos x) (cos y))

simplify85.0ms

Algorithm
egg-herbie
Counts
301 → 301
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
017127728
150016091

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

regimes182.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03127
13127

end0.0ms

sample6.0s

Algorithm
intervals
Results
3.4s2747×body1280valid
1.5s1823×body640valid
422.0ms743×body320valid
391.0ms2317×body80valid
139.0ms370×body160valid