Details

Time bar (total: 3.8s)

analyze409.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
42.1%57.7%0.1%9
56.9%42.9%0.1%10
59.5%40.4%0.1%11
68.1%31.8%0.1%12
75.1%24.4%0.5%13
75.7%23.3%1%14

sample56.0ms

Algorithm
intervals
Results
12.0ms39×body1280valid
8.0ms169×body80valid
6.0ms28×body640valid
2.0ms11×body320valid
1.0ms9×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0678
1678

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize8.0ms

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)

rewrite22.0ms

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))
7.0ms
(/ (sin y) y)
6.0ms
(/ (* x (/ (sin y) y)) z)

series28.0ms

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

simplify54.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04952739
14952739

prune106.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New85792
Fresh011
Picked101
Done000
Total86894

Merged error: 0.0b

Counts
94 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.1b
(/ 1 (/ y (sin y)))
2.9b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
106×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
64×add-exp-log
44×associate-*r*
34×add-cbrt-cube
30×div-exp
19×associate-/r*
14×cbrt-undiv prod-exp
11×div-inv
7×pow1 associate-/l*
6×rec-exp 1-exp cbrt-unprod
5×unswap-sqr
4×add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-*r/ associate-/r/ un-div-inv associate-/l/
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 207
Calls
4 calls:
17.0ms
(* x (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))
10.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series34.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* x (/ 1 (/ y (sin y))))
5.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))
14.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify73.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049511967
149511967

prune184.0ms

Filtered
141 candidates to 219 candidates (-55.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2172219
Fresh257
Picked101
Done000
Total2207227

Merged error: 0.0b

Counts
227 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ x (/ y (sin y)))
0.1b
(/ y (sin y))
2.9b
(/ (/ x (/ y (sin y))) z)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
238×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
50×associate-/l*
23×div-inv
19×add-exp-log associate-/r* add-cbrt-cube
10×cbrt-undiv div-exp
5×associate-/r/
3×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
3 → 293
Calls
3 calls:
5.0ms
(/ x (/ y (sin y)))
3.0ms
(/ y (sin y))
12.0ms
(/ (/ x (/ y (sin y))) z)

series35.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(/ x (/ y (sin y)))
6.0ms
(/ y (sin y))
14.0ms
(/ (/ x (/ y (sin y))) z)

simplify91.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049404547
149404547

prune257.0ms

Filtered
261 candidates to 302 candidates (-15.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3002302
Fresh156
Picked101
Done000
Total3027309

Merged error: 0b

Counts
309 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ x (* y (/ 1 (sin y))))
0.1b
(/ 1 (sin y))
0.2b
(* y (/ 1 (sin y)))
2.9b
(/ (/ x (* y (/ 1 (sin y)))) z)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
62×times-frac
54×add-exp-log
47×add-sqr-sqrt
41×*-un-lft-identity
40×add-cube-cbrt
34×add-cbrt-cube
24×div-exp
15×associate-/l*
14×cbrt-undiv
13×associate-*r*
12×prod-exp
10×associate-/r/
8×div-inv
7×pow1 associate-/r*
6×associate-*r/ un-div-inv cbrt-unprod
4×rec-exp 1-exp add-log-exp
3×frac-2neg associate-*l* clear-num unswap-sqr
1×pow-flip pow-prod-down *-commutative associate-/l/ inv-pow
Counts
4 → 154
Calls
4 calls:
6.0ms
(/ x (* y (/ 1 (sin y))))
3.0ms
(/ 1 (sin y))
7.0ms
(* y (/ 1 (sin y)))
9.0ms
(/ (/ x (* y (/ 1 (sin y)))) z)

series36.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(/ x (* y (/ 1 (sin y))))
4.0ms
(/ 1 (sin y))
6.0ms
(* y (/ 1 (sin y)))
14.0ms
(/ (/ x (* y (/ 1 (sin y)))) z)

simplify54.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049511387
149511387

prune114.0ms

Filtered
106 candidates to 166 candidates (-56.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1660166
Fresh066
Picked011
Done000
Total1667173

Merged error: 0b

Counts
173 → 7

regimes361.0ms

Accuracy

72.9% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.8b

bsearch56.0ms

Steps
ItersRangePoint
7
7.72392568775144e-62
1.489517616800262e-60
1.4690454422901802e-60
9
-1.7045447107301756e-93
-2.0623960935972097e-98
-1.6892186854509905e-93

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02125
12125

end0.0ms

sample1.6s

Algorithm
intervals
Results
316.0ms1046×body1280valid
239.0ms5260×body80valid
189.0ms920×body640valid
69.0ms488×body320valid
30.0ms286×body160valid

Profiling

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