Details

Time bar (total: 2.6s)

sample46.0ms

Algorithm
intervals
Results
12.0ms30×body1280valid
9.0ms196×body80valid
5.0ms26×body640valid
2.0ms17×body320valid
1.0ms13×body160valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.1b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
3.0b
(/ (* x (/ (sin y) y)) z)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
13×associate-*r*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 83
Calls
3 calls:
6.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
6.0ms
(/ (* x (/ (sin y) y)) z)

series27.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
14.0ms
(/ (* x (/ (sin y) y)) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0326487
11643420
25002420

prune102.0ms

Filtered
66 candidates to 92 candidates (-39.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New86692
Fresh000
Picked101
Done000
Total87693

Merged error: 0.0b

Counts
93 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(/ z (/ (sin y) y))
1.9b
(/ x (/ z (/ (sin y) y)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
238×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
60×associate-/r*
23×div-inv
19×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
9×associate-/l*
6×associate-/r/
3×pow1 frac-2neg clear-num add-log-exp
Counts
3 → 293
Calls
3 calls:
4.0ms
(/ (sin y) y)
5.0ms
(/ z (/ (sin y) y))
11.0ms
(/ x (/ z (/ (sin y) y)))

series35.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (sin y) y)
16.0ms
(/ z (/ (sin y) y))
15.0ms
(/ x (/ z (/ (sin y) y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011102950
150012830

prune239.0ms

Filtered
258 candidates to 302 candidates (-17.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3011302
Fresh145
Picked011
Done000
Total3026308

Merged error: 0b

Counts
308 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.0b
(/ (* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y))) z)
4.2b
(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
40×add-cbrt-cube
39×add-sqr-sqrt
31×times-frac
23×add-cube-cbrt *-un-lft-identity
22×associate-*r*
21×cbrt-undiv div-exp
17×cbrt-prod
16×prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×associate-/r* div-inv associate-/l/
2×frac-times pow1/3 associate-*r/ associate-*l/
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
11.0ms
(/ (* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y))) z)
14.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

series76.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
23.0ms
(cbrt y)
17.0ms
(/ (* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y))) z)
14.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06161238
132201016
25001952

prune106.0ms

Filtered
89 candidates to 127 candidates (-42.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh044
Picked011
Done011
Total1276133

Merged error: 0b

Counts
133 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

4.9b
(/ (/ x z) y)
5.9b
(* (sin y) (/ (/ x z) y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
89×add-sqr-sqrt
80×add-cube-cbrt *-un-lft-identity
43×associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-/l*
9×div-inv
6×cbrt-undiv div-exp
4×pow1
3×associate-*l* prod-exp associate-/r* cbrt-unprod unswap-sqr
2×add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 135
Calls
2 calls:
6.0ms
(/ (/ x z) y)
14.0ms
(* (sin y) (/ (/ x z) y))

series19.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (/ x z) y)
14.0ms
(* (sin y) (/ (/ x z) y))

simplify67.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0566914
12751854
25001854

prune105.0ms

Filtered
116 candidates to 141 candidates (-21.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1401141
Fresh123
Picked011
Done022
Total1416147

Merged error: 0b

Counts
147 → 6

regimes290.0ms

Accuracy

33.8% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02519
12519

end0.0ms

sample1.2s

Algorithm
intervals
Results
296.0ms968×body1280valid
280.0ms5940×body80valid
195.0ms989×body640valid
79.0ms566×body320valid
31.0ms281×body160valid

Profiling

Loading profile data...