Details

Time bar (total: 3.8s)

sample34.0ms

Algorithm
intervals
Results
8.0ms28×body1280valid
7.0ms182×body80valid
6.0ms36×body640valid
2.0ms14×body320valid
1.0ms14×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: 3.0b

Counts
2 → 1

localize7.0ms

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)

rewrite20.0ms

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)

series149.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* x (/ (sin y) y))
29.0ms
(/ (sin y) y)
69.0ms
(/ (* x (/ (sin y) y)) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0333511
11655443
25001443

prune198.0ms

Filtered
98 candidates to 72 candidates (73.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New92698
Fresh000
Picked011
Done000
Total92799

Merged error: 0.0b

Counts
99 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.1b
(/ (sin y) y)
2.2b
(/ x (/ z (/ (sin y) y)))

rewrite40.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
3 → 299
Calls
3 calls:
5.0ms
(/ z (/ (sin y) y))
4.0ms
(/ (sin y) y)
15.0ms
(/ x (/ z (/ (sin y) y)))

series171.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(/ z (/ (sin y) y))
24.0ms
(/ (sin y) y)
80.0ms
(/ x (/ z (/ (sin y) y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
308 → 308
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011172974
150012852

prune792.0ms

Filtered
308 candidates to 264 candidates (85.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3035308
Fresh415
Picked101
Done101
Total3096315

Merged error: 0b

Counts
315 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (* (sin y) (/ 1 y)))
0.2b
(* (sin y) (/ 1 y))
2.2b
(/ x (/ z (* (sin y) (/ 1 y))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
53×times-frac
49×add-exp-log
38×add-sqr-sqrt
32×*-un-lft-identity
31×add-cube-cbrt add-cbrt-cube
22×div-exp
13×cbrt-undiv associate-*r*
12×prod-exp
11×associate-/r/
10×associate-/r*
7×div-inv
6×associate-*r/ un-div-inv cbrt-unprod associate-/l*
5×pow1
3×expm1-log1p-u rec-exp 1-exp associate-*l* log1p-expm1-u add-log-exp unswap-sqr
2×frac-2neg clear-num
1×pow-prod-down *-commutative
Counts
3 → 129
Calls
3 calls:
7.0ms
(/ z (* (sin y) (/ 1 y)))
7.0ms
(* (sin y) (/ 1 y))
9.0ms
(/ x (/ z (* (sin y) (/ 1 y))))

series170.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(/ z (* (sin y) (/ 1 y)))
30.0ms
(* (sin y) (/ 1 y))
77.0ms
(/ x (/ z (* (sin y) (/ 1 y))))

simplify67.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0542892
12542738
25001725

prune281.0ms

Filtered
138 candidates to 97 candidates (70.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1362138
Fresh235
Picked011
Done000
Total1386144

Merged error: 0b

Counts
144 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (sin y))
0.1b
(* z (* (/ 1 (sin y)) y))
0.2b
(* (/ 1 (sin y)) y)
2.2b
(/ x (* z (* (/ 1 (sin y)) y)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
34×add-cbrt-cube
30×add-sqr-sqrt
24×*-un-lft-identity
23×add-cube-cbrt times-frac
22×prod-exp
16×associate-*l*
14×div-exp
12×pow1 cbrt-unprod
8×cbrt-undiv
6×associate-/l*
4×expm1-log1p-u rec-exp 1-exp associate-*r* pow-prod-down associate-/r* log1p-expm1-u add-log-exp
3×associate-*l/ div-inv unswap-sqr
2×frac-2neg associate-*r/ clear-num *-commutative
1×pow-flip associate-/r/ inv-pow
Counts
4 → 125
Calls
4 calls:
4.0ms
(/ 1 (sin y))
7.0ms
(* z (* (/ 1 (sin y)) y))
13.0ms
(* (/ 1 (sin y)) y)
16.0ms
(/ x (* z (* (/ 1 (sin y)) y)))

series177.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ 1 (sin y))
61.0ms
(* z (* (/ 1 (sin y)) y))
26.0ms
(* (/ 1 (sin y)) y)
76.0ms
(/ x (* z (* (/ 1 (sin y)) y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0445729
11947583
25001554

prune229.0ms

Filtered
137 candidates to 87 candidates (63.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1370137
Fresh044
Picked011
Done011
Total1376143

Merged error: 0b

Counts
143 → 6

regimes133.0ms

Accuracy

40.8% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.8b

bsearch46.0ms

Steps
ItersRangePoint
10
1.0123448528947186e-82
1.1205557654323579e-67
1.1731481275047476e-68

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199
1199

end0.0ms

sample997.0ms

Algorithm
intervals
Results
261.0ms986×body1280valid
241.0ms5907×body80valid
195.0ms1026×body640valid
65.0ms525×body320valid
30.0ms301×body160valid