Details

Time bar (total: 3.9s)

sample41.0ms

Algorithm
intervals
Results
11.0ms183×body80valid
11.0ms36×body1280valid
6.0ms31×body640valid
3.0ms19×body320valid
1.0ms11×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: 2.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.9b
(/ (* 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×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)

series143.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* x (/ (sin y) y))
24.0ms
(/ (sin y) y)
67.0ms
(/ (* x (/ (sin y) y)) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326487
11643420
25001420

prune174.0ms

Filtered
92 candidates to 66 candidates (71.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New84892
Fresh000
Picked101
Done000
Total85893

Merged error: 0.0b

Counts
93 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.6b
(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

rewrite42.0ms

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)
30.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series615.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt z)
167.0ms
(cbrt z)
169.0ms
(cbrt z)
107.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify38.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010171798
150011497

prune470.0ms

Filtered
174 candidates to 147 candidates (84.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1740174
Fresh077
Picked011
Done000
Total1748182

Merged error: 0.0b

Counts
182 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
3.0b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite27.0ms

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:
4.0ms
(/ (sin y) y)
6.0ms
(* x (/ (sin y) y))
9.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series145.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (sin y) y)
55.0ms
(* x (/ (sin y) y))
65.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify66.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0480667
12656552
25001539

prune175.0ms

Filtered
114 candidates to 71 candidates (62.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh066
Picked011
Done011
Total1139122

Merged error: 0.0b

Counts
122 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.2b
(* (/ (sin y) y) (/ 1 z))
2.7b
(* x (* (/ (sin y) y) (/ 1 z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
43×add-sqr-sqrt
35×add-cbrt-cube
34×times-frac
28×*-un-lft-identity
26×add-cube-cbrt
25×prod-exp
17×div-exp
16×associate-*l*
14×associate-*r*
13×cbrt-unprod
10×pow1
9×cbrt-undiv
6×associate-*r/ unswap-sqr
4×rec-exp 1-exp pow-prod-down
3×associate-/r* div-inv associate-/l* add-log-exp
2×frac-times associate-*l/ un-div-inv *-commutative
1×frac-2neg clear-num
Counts
3 → 116
Calls
3 calls:
4.0ms
(/ (sin y) y)
10.0ms
(* (/ (sin y) y) (/ 1 z))
9.0ms
(* x (* (/ (sin y) y) (/ 1 z)))

series125.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (sin y) y)
37.0ms
(* (/ (sin y) y) (/ 1 z))
64.0ms
(* x (* (/ (sin y) y) (/ 1 z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0534768
12389634
25001610

prune188.0ms

Filtered
125 candidates to 80 candidates (64.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1241125
Fresh066
Picked101
Done022
Total1259134

Merged error: 0b

Counts
134 → 9

regimes241.0ms

Accuracy

75.8% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.2b

bsearch56.0ms

Steps
ItersRangePoint
6
8.369869763858694e+76
4.55507855301186e+77
1.0536617227184075e+77
6
-5.808196089078918e+81
-1.4060160083202383e+81
-5.626023844952637e+81

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02714
12714

end0.0ms

sample1.1s

Algorithm
intervals
Results
315.0ms1018×body1280valid
279.0ms5766×body80valid
211.0ms1030×body640valid
81.0ms566×body320valid
31.0ms310×body160valid

Profiling

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