Details

Time bar (total: 5.1s)

sample40.0ms

Algorithm
intervals
Results
8.0ms29×body1280valid
8.0ms191×body80valid
6.0ms29×body640valid
2.0ms13×body320valid
1.0ms9×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune4.0ms

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: 1.3b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
1.3b
(/ (* 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×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:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
7.0ms
(/ (* x (/ (sin y) y)) z)

series149.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* x (/ (sin y) y))
25.0ms
(/ (sin y) y)
70.0ms
(/ (* x (/ (sin y) y)) z)

simplify49.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0326487
11643420
25002420

prune303.0ms

Filtered
92 candidates to 66 candidates (71.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New87592
Fresh000
Picked011
Done000
Total87693

Merged error: 0.0b

Counts
93 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
1.4b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-sqr-sqrt add-cbrt-cube
28×times-frac
26×add-cube-cbrt *-un-lft-identity associate-*r*
22×prod-exp
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv
4×associate-*r/ associate-*l* pow-prod-down
3×rec-exp 1-exp associate-/r* div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times frac-2neg associate-*l/ clear-num un-div-inv
Counts
3 → 105
Calls
3 calls:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
10.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series150.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* x (/ (sin y) y))
25.0ms
(/ (sin y) y)
69.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify68.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0480667
12656552
25001539

prune316.0ms

Filtered
114 candidates to 71 candidates (62.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh044
Picked011
Done011
Total1146120

Merged error: 0.0b

Counts
120 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ (sin y) y) z)
0.1b
(/ (sin y) y)
2.4b
(* x (/ (/ (sin y) y) z))

rewrite37.0ms

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×associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 162
Calls
3 calls:
7.0ms
(/ (/ (sin y) y) z)
4.0ms
(/ (sin y) y)
15.0ms
(* x (/ (/ (sin y) y) z))

series129.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (/ (sin y) y) z)
31.0ms
(/ (sin y) y)
65.0ms
(* x (/ (/ (sin y) y) z))

simplify74.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06051176
128621100
250011100

prune584.0ms

Filtered
171 candidates to 135 candidates (78.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1710171
Fresh033
Picked011
Done022
Total1716177

Merged error: 0.0b

Counts
177 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.4b
(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
152×times-frac
110×add-sqr-sqrt
82×associate-*r*
78×add-cube-cbrt *-un-lft-identity
52×cbrt-prod
40×add-exp-log
28×add-cbrt-cube
15×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
10×unswap-sqr
8×div-inv
7×associate-*l*
6×pow1
4×add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 162
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
32.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series648.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt z)
176.0ms
(cbrt z)
178.0ms
(cbrt z)
108.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010231798
150021497

prune748.0ms

Filtered
174 candidates to 147 candidates (84.5%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1731174
Fresh022
Picked011
Done033
Total1737180

Merged error: 0b

Counts
180 → 7

regimes481.0ms

Accuracy

83.5% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02214
12214

end0.0ms

sample1.2s

Algorithm
intervals
Results
281.0ms956×body1280valid
268.0ms5893×body80valid
198.0ms1022×body640valid
87.0ms573×body320valid
29.0ms288×body160valid

Profiling

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