Details

Time bar (total: 3.5s)

sample39.0ms

Algorithm
intervals
Results
10.0ms204×body80valid
9.0ms29×body1280valid
6.0ms28×body640valid
2.0ms16×body320valid
1.0ms8×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

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: 2.1b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.0b
(/ (* x (/ (sin y) y)) z)

rewrite19.0ms

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×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 89
Calls
3 calls:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
6.0ms
(/ (* x (/ (sin y) y)) z)

series330.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* x (/ (sin y) y))
207.0ms
(/ (sin y) y)
72.0ms
(/ (* x (/ (sin y) y)) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0333511
11655443
25001443

prune189.0ms

Filtered
98 candidates to 72 candidates (73.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New90898
Fresh000
Picked101
Done000
Total91899

Merged error: 0.0b

Counts
99 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
98×add-sqr-sqrt
89×add-cube-cbrt *-un-lft-identity
43×associate-*r*
19×add-exp-log add-cbrt-cube
16×associate-/l*
10×div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1
3×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 168
Calls
3 calls:
4.0ms
(/ (sin y) y)
6.0ms
(/ (/ (sin y) y) z)
14.0ms
(* x (/ (/ (sin y) y) z))

series127.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (sin y) y)
33.0ms
(/ (/ (sin y) y) z)
69.0ms
(* x (/ (/ (sin y) y) z))

simplify75.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06131200
128781122
250011122

prune361.0ms

Filtered
177 candidates to 144 candidates (81.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1752177
Fresh257
Picked011
Done000
Total1778185

Merged error: 0b

Counts
185 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (* (sin y) (/ 1 y)))
0.2b
(* (sin y) (/ 1 y))
2.0b
(/ (* x (* (sin y) (/ 1 y))) z)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
22×prod-exp
21×add-sqr-sqrt
15×*-un-lft-identity
14×add-cube-cbrt times-frac associate-*r*
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv associate-*r/
6×associate-*l*
4×pow-prod-down
3×expm1-log1p-u rec-exp 1-exp associate-/r* un-div-inv log1p-expm1-u add-log-exp unswap-sqr
2×*-commutative div-inv associate-/l/
1×frac-2neg clear-num associate-/l*
Counts
3 → 95
Calls
3 calls:
7.0ms
(* x (* (sin y) (/ 1 y)))
11.0ms
(* (sin y) (/ 1 y))
10.0ms
(/ (* x (* (sin y) (/ 1 y))) z)

series149.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* x (* (sin y) (/ 1 y)))
31.0ms
(* (sin y) (/ 1 y))
67.0ms
(/ (* x (* (sin y) (/ 1 y))) z)

simplify60.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0422595
12107461
25002439

prune153.0ms

Filtered
104 candidates to 66 candidates (63.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh156
Picked011
Done011
Total1048112

Merged error: 0b

Counts
112 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
0.6b
(/ 1 (/ z (* x (/ (sin y) y))))
2.0b
(/ z (* x (/ (sin y) y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
54×add-exp-log
44×add-sqr-sqrt
39×add-cube-cbrt *-un-lft-identity
34×add-cbrt-cube
26×div-exp
14×cbrt-undiv
13×associate-*r*
12×associate-/r*
10×prod-exp
9×associate-/l*
8×div-inv
7×pow1
6×associate-*r/ associate-/r/ cbrt-unprod
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* clear-num
2×unswap-sqr
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 155
Calls
4 calls:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
8.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
6.0ms
(/ z (* x (/ (sin y) y)))

series253.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* x (/ (sin y) y))
30.0ms
(/ (sin y) y)
67.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
103.0ms
(/ z (* x (/ (sin y) y)))

simplify74.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05181041
12809893
25001852

prune240.0ms

Filtered
167 candidates to 104 candidates (62.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1661167
Fresh145
Picked011
Done022
Total1678175

Merged error: 0b

Counts
175 → 8

regimes161.0ms

Accuracy

3.9% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 2.9b

bsearch43.0ms

Steps
ItersRangePoint
10
1.6055303331727859e-31
3.1123419082562647e-16
9.937669686729075e-17

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02210
12210

end0.0ms

sample1.0s

Algorithm
intervals
Results
280.0ms983×body1280valid
250.0ms5864×body80valid
190.0ms1022×body640valid
80.0ms586×body320valid
25.0ms276×body160valid

Profiling

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