Details

Time bar (total: 7.4s)

analyze404.0ms

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

sample39.0ms

Algorithm
intervals
Results
11.0ms39×body1280valid
8.0ms158×body80valid
5.0ms27×body640valid
2.0ms17×body320valid
1.0ms15×body160valid
1.0ms17×body80invalid
1.0msbody640invalid
0.0msbody160invalid
0.0msbody320invalid

simplify25.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
06812
16812

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.4b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
0.1b
(/.f64 (sin.f64 y) y)
4.3b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64
22×times-frac_binary64
21×*-un-lft-identity_binary64 add-cube-cbrt_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64
13×associate-*r*_binary64
associate-/r*_binary64 cbrt-undiv_binary64 div-exp_binary64
pow1_binary64
cbrt-unprod_binary64 prod-exp_binary64 associate-/l*_binary64
add-log-exp_binary64 associate-*l*_binary64 div-inv_binary64 insert-posit16
associate-*r/_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64
pow-prod-down_binary64 associate-/l/_binary64 *-commutative_binary64
Counts
3 → 86
Calls
3 calls:
8.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms
(/.f64 (sin.f64 y) y)
8.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series1.2s

Counts
3 → 9
Calls
3 calls:
109.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
1.0s
(/.f64 (sin.f64 y) y)
57.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0409
1409
0409
1409
013
113
0244199
1244199
0244199
1244199
013
113
05369
15369
05369
15369
013
113

simplify133.0ms

Counts
95 → 95
Iterations

Useful iterations: 0 (107.0ms)

IterNodesCost
050161098

prune61.0ms

Filtered
69 candidates to 95 candidates (-37.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New87895
Fresh000
Picked101
Done000
Total88896

Merged error: 0.0b

Counts
96 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 z)
0.5b
(cbrt.f64 z)
0.5b
(cbrt.f64 z)
1.4b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 z)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
152×times-frac_binary64
110×add-sqr-sqrt_binary64
82×associate-*r*_binary64
78×*-un-lft-identity_binary64 add-cube-cbrt_binary64
52×cbrt-prod_binary64
40×add-exp-log_binary64
28×add-cbrt-cube_binary64
15×cbrt-undiv_binary64 div-exp_binary64
12×cbrt-unprod_binary64 prod-exp_binary64
10×unswap-sqr_binary64
div-inv_binary64
associate-*l*_binary64
pow1_binary64
add-log-exp_binary64 insert-posit16
pow1/3_binary64
pow-prod-down_binary64 associate-*r/_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 166
Calls
4 calls:
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
42.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 z)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(cbrt.f64 z)
47.0ms
(cbrt.f64 z)
45.0ms
(cbrt.f64 z)
61.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 z)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0599
1599
0599
1599
013
113
0189
1189
0189
1189
013
113
0189
1189
0189
1189
013
113
0189
1189
0189
1189
013
113

simplify133.0ms

Counts
178 → 178
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
050293781

prune118.0ms

Filtered
140 candidates to 178 candidates (-27.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1780178
Fresh077
Picked011
Done000
Total1788186

Merged error: 0.0b

Counts
186 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/.f64 z (/.f64 (sin.f64 y) y))
0.1b
(/.f64 (sin.f64 y) y)
3.4b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac_binary64
238×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
60×associate-/r*_binary64
23×div-inv_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64
10×cbrt-undiv_binary64 div-exp_binary64
associate-/l*_binary64
associate-/r/_binary64
add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64 insert-posit16
Counts
3 → 296
Calls
3 calls:
7.0ms
(/.f64 z (/.f64 (sin.f64 y) y))
5.0ms
(/.f64 (sin.f64 y) y)
15.0ms
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

series1.8s

Counts
3 → 9
Calls
3 calls:
708.0ms
(/.f64 z (/.f64 (sin.f64 y) y))
1.0s
(/.f64 (sin.f64 y) y)
62.0ms
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0769
1769
0769
1769
013
113
0244199
1244199
0244199
1244199
013
113
0260969
0260969
013
113

simplify188.0ms

Counts
305 → 305
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
051927329

prune191.0ms

Filtered
258 candidates to 305 candidates (-18.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New3032305
Fresh246
Picked011
Done011
Total3058313

Merged error: 0b

Counts
313 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/.f64 (/.f64 (sin.f64 y) y) z)
0.1b
(/.f64 (sin.f64 y) y)
3.2b
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac_binary64
98×add-sqr-sqrt_binary64
89×*-un-lft-identity_binary64 add-cube-cbrt_binary64
43×associate-*r*_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64
16×associate-/l*_binary64
10×div-inv_binary64
cbrt-undiv_binary64 div-exp_binary64
associate-/r*_binary64
pow1_binary64
add-log-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64 unswap-sqr_binary64 prod-exp_binary64 insert-posit16
clear-num_binary64 frac-2neg_binary64
pow-prod-down_binary64 associate-/l/_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
3 → 165
Calls
3 calls:
8.0ms
(/.f64 (/.f64 (sin.f64 y) y) z)
5.0ms
(/.f64 (sin.f64 y) y)
19.0ms
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))

series1.2s

Counts
3 → 9
Calls
3 calls:
154.0ms
(/.f64 (/.f64 (sin.f64 y) y) z)
1.0s
(/.f64 (sin.f64 y) y)
59.0ms
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0509
1509
0509
1509
013
113
0244199
1244199
0244199
1244199
013
113
010469
110469
010469
110469
013
113

simplify131.0ms

Counts
174 → 174
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
049932853
149932853

prune93.0ms

Filtered
137 candidates to 174 candidates (-27.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1740174
Fresh055
Picked011
Done022
Total1748182

Merged error: 0b

Counts
182 → 8

regimes105.0ms

Accuracy

92.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.1b

bsearch48.0ms

Steps
ItersRangePoint
8
1.1887673954062491e+57
1.0716446937677625e+61
2.299776033501984e+57
7
-1.059120538474969e-25
-4.142519654010579e-28
-9.657821205149771e-26

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02954
12954

end0.0ms

sample1.2s

Algorithm
intervals
Results
318.0ms982×body1280valid
259.0ms5245×body80valid
198.0ms976×body640valid
77.0ms528×body320valid
27.0ms269×body160valid
25.0ms510×body80invalid
11.0ms57×body640invalid
5.0ms34×body320invalid
4.0ms14×body1280invalid
4.0ms39×body160invalid

Profiling

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