Details

Time bar (total: 4.0s)

sample61.0ms

Algorithm
intervals
Results
22.0ms45×body1280valid
13.0ms145×body80valid
11.0ms33×body640valid
5.0ms23×body320valid
2.0ms10×body160valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0209
1439
2939
31749
42699
52889
62889

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.6b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.3b
(* (/ 8.0 3.0) (sin (* x 0.5)))
16.5b
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*l*
13×times-frac
12×prod-exp cbrt-unprod
10×pow1
7×cbrt-undiv div-exp
6×associate-*r*
5×associate-*l/
4×pow-prod-down
3×associate-/r* add-log-exp
2×*-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/l/ associate-/l*
Counts
3 → 79
Calls
3 calls:
9.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
7.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
10.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series168.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
35.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
77.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify58.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0402818
12097614
25002599

prune198.0ms

Filtered
88 candidates to 62 candidates (70.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New781088
Fresh000
Picked101
Done000
Total791089

Merged error: 0.1b

Counts
89 → 10

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin (* 0.5 x)) (sin x))
0.2b
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
0.3b
(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-sqr-sqrt add-cbrt-cube
28×times-frac
26×add-cube-cbrt *-un-lft-identity
16×associate-*r*
14×associate-*l*
12×prod-exp cbrt-unprod
10×pow1
7×cbrt-undiv div-exp
4×pow-prod-down associate-*l/
3×associate-/r* div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times frac-2neg associate-*r/ clear-num
Counts
3 → 98
Calls
3 calls:
4.0ms
(/ (sin (* 0.5 x)) (sin x))
11.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
7.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series153.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (sin (* 0.5 x)) (sin x))
76.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
35.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify64.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0463970
12477779
25002764

prune239.0ms

Filtered
107 candidates to 74 candidates (69.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1025107
Fresh459
Picked101
Done000
Total10710117

Merged error: 0b

Counts
117 → 10

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (* 8.0 (sin (* x 0.5))) 3.0)
0.1b
(/ (sin (* 0.5 x)) (sin x))
0.2b
(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
27×add-sqr-sqrt
25×times-frac
22×add-cube-cbrt *-un-lft-identity
13×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l*
6×associate-/r*
5×pow1
4×div-inv associate-/l*
3×add-log-exp
2×frac-2neg clear-num unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 94
Calls
3 calls:
5.0ms
(/ (* 8.0 (sin (* x 0.5))) 3.0)
4.0ms
(/ (sin (* 0.5 x)) (sin x))
11.0ms
(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))

series154.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (* 8.0 (sin (* x 0.5))) 3.0)
37.0ms
(/ (sin (* 0.5 x)) (sin x))
76.0ms
(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))

simplify64.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0458994
12409812
25001788

prune238.0ms

Filtered
103 candidates to 74 candidates (71.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1012103
Fresh459
Picked011
Done000
Total1058113

Merged error: 0b

Counts
113 → 8

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin (* 0.5 x)) (sin x))
0.2b
(* (/ 1 3.0) (/ (sin (* 0.5 x)) (sin x)))
0.3b
(* (* 8.0 (sin (* x 0.5))) (* (/ 1 3.0) (/ (sin (* 0.5 x)) (sin x))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
100×add-exp-log
58×add-cbrt-cube
51×prod-exp
42×add-sqr-sqrt
34×times-frac
27×*-un-lft-identity cbrt-unprod
25×add-cube-cbrt div-exp
17×pow1
14×associate-*r* associate-*l*
13×cbrt-undiv
9×pow-prod-down
6×rec-exp 1-exp unswap-sqr
5×associate-*r/
3×associate-/r* div-inv associate-/l* add-log-exp
2×frac-times associate-*l/ *-commutative
1×frac-2neg clear-num
Counts
3 → 128
Calls
3 calls:
5.0ms
(/ (sin (* 0.5 x)) (sin x))
11.0ms
(* (/ 1 3.0) (/ (sin (* 0.5 x)) (sin x)))
16.0ms
(* (* 8.0 (sin (* x 0.5))) (* (/ 1 3.0) (/ (sin (* 0.5 x)) (sin x))))

series176.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (sin (* 0.5 x)) (sin x))
54.0ms
(* (/ 1 3.0) (/ (sin (* 0.5 x)) (sin x)))
80.0ms
(* (* 8.0 (sin (* x 0.5))) (* (/ 1 3.0) (/ (sin (* 0.5 x)) (sin x))))

simplify77.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06351440
129551113
250011057

prune232.0ms

Filtered
137 candidates to 79 candidates (57.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1361137
Fresh246
Picked011
Done011
Total1387145

Merged error: 0b

Counts
145 → 7

regimes32.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159
1179
2179

end0.0ms

sample1.9s

Algorithm
intervals
Results
793.0ms1543×body1280valid
409.0ms1226×body640valid
322.0ms4241×body80valid
151.0ms636×body320valid
56.0ms354×body160valid

Profiling

Loading profile data...