Details

Time bar (total: 5.1s)

analyze255.0ms

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
37.4%62.4%0.1%6
49.9%49.9%0.1%7
62.4%37.4%0.1%8
62.4%37.4%0.1%9
71.8%28.1%0.1%10
79.6%20.3%0.1%11
79.6%20.3%0.1%12
85%14.8%0.1%13
89.3%10.5%0.1%14

sample54.0ms

Algorithm
intervals
Results
18.0ms41×body1280valid
15.0ms43×body640valid
10.0ms154×body80valid
2.0ms12×body320valid
1.0ms6×body160valid

simplify19.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
01214
11214

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.1b
(*.f64 x (cos.f64 y))
0.1b
(*.f64 z (sin.f64 y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64
7×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
6×associate-*r*_binary64 associate-*l*_binary64
5×add-log-exp_binary64
3×insert-posit16
2×pow-prod-down_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
1×flip3-+_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
3 → 50
Calls
3 calls:
6.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
5.0ms
(*.f64 x (cos.f64 y))
5.0ms
(*.f64 z (sin.f64 y))

series159.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
51.0ms
(*.f64 x (cos.f64 y))
53.0ms
(*.f64 z (sin.f64 y))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0809
1809
0809
1809
013
113
0839
1839
0839
1839
013
113
0349
1349
0349
1349
013
113

simplify162.0ms

Counts
59 → 59
Iterations

Useful iterations: 0 (142.0ms)

IterNodesCost
05066602

prune45.0ms

Filtered
42 candidates to 59 candidates (-40.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New50959
Fresh000
Picked101
Done000
Total51960

Merged error: 0.0b

Counts
60 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.3b
(cbrt.f64 (cos.f64 y))
0.3b
(cbrt.f64 (cos.f64 y))
0.3b
(cbrt.f64 (cos.f64 y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
9×pow1/3_binary64
6×swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 insert-posit16
2×pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
1×cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 77
Calls
4 calls:
7.0ms
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
2.0ms
(cbrt.f64 (cos.f64 y))
2.0ms
(cbrt.f64 (cos.f64 y))
2.0ms
(cbrt.f64 (cos.f64 y))

series202.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
43.0ms
(cbrt.f64 (cos.f64 y))
46.0ms
(cbrt.f64 (cos.f64 y))
44.0ms
(cbrt.f64 (cos.f64 y))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0219
1219
0219
1219
013
113
0219
1219
0219
1219
013
113
0219
1219
0219
1219
013
113
05629
15629
05629
15629
013
113

simplify130.0ms

Counts
89 → 89
Iterations

Useful iterations: 0 (107.0ms)

IterNodesCost
04957737
14957737

prune66.0ms

Filtered
59 candidates to 89 candidates (-50.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New87289
Fresh268
Picked101
Done000
Total90898

Merged error: 0.0b

Counts
98 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.f64 x (pow.f64 (*.f64 (cos.f64 y) (cos.f64 y)) 1/3))
0.2b
(*.f64 (*.f64 x (pow.f64 (*.f64 (cos.f64 y) (cos.f64 y)) 1/3)) (cbrt.f64 (cos.f64 y)))
0.2b
(*.f64 (cos.f64 y) (cos.f64 y))
0.3b
(cbrt.f64 (cos.f64 y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log_binary64
19×add-sqr-sqrt_binary64
16×prod-exp_binary64
14×associate-*r*_binary64
13×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-cbrt-cube_binary64
8×cbrt-unprod_binary64
7×associate-*l*_binary64
6×cbrt-prod_binary64
4×add-log-exp_binary64 unswap-sqr_binary64 insert-posit16 pow-exp_binary64
3×swap-sqr_binary64 *-commutative_binary64
2×pow-to-exp_binary64 pow-prod-down_binary64 sqr-pow_binary64 unpow-prod-down_binary64 unpow1/3_binary64
1×pow-prod-up_binary64 cos-mult_binary64 pow1/3_binary64 pow-plus_binary64 sqr-cos-a_binary64 pow-sqr_binary64 pow2_binary64
Counts
4 → 91
Calls
4 calls:
7.0ms
(*.f64 x (pow.f64 (*.f64 (cos.f64 y) (cos.f64 y)) 1/3))
10.0ms
(*.f64 (*.f64 x (pow.f64 (*.f64 (cos.f64 y) (cos.f64 y)) 1/3)) (cbrt.f64 (cos.f64 y)))
6.0ms
(*.f64 (cos.f64 y) (cos.f64 y))
2.0ms
(cbrt.f64 (cos.f64 y))

series1.6s

Counts
4 → 12
Calls
4 calls:
56.0ms
(*.f64 x (pow.f64 (*.f64 (cos.f64 y) (cos.f64 y)) 1/3))
59.0ms
(*.f64 (*.f64 x (pow.f64 (*.f64 (cos.f64 y) (cos.f64 y)) 1/3)) (cbrt.f64 (cos.f64 y)))
1.4s
(*.f64 (cos.f64 y) (cos.f64 y))
44.0ms
(cbrt.f64 (cos.f64 y))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0219
1219
0219
1219
013
113
0218219
1218219
0218219
1218219
013
113
02159
12159
02159
12159
013
113
01919
11919
01919
11919
013
113

simplify121.0ms

Counts
103 → 103
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
052381130

prune76.0ms

Filtered
67 candidates to 103 candidates (-53.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1012103
Fresh077
Picked011
Done000
Total10110111

Merged error: 0.0b

Counts
111 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 6)) 1/3)) (cbrt.f64 (cos.f64 y)))
0.3b
(cbrt.f64 (pow.f64 (cos.f64 y) 6))
0.3b
(cbrt.f64 (cos.f64 y))
0.5b
(pow.f64 (cos.f64 y) 6)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log_binary64
13×cbrt-prod_binary64
11×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
8×add-cbrt-cube_binary64
7×pow1_binary64 prod-exp_binary64
6×associate-*r*_binary64 unpow-prod-down_binary64
5×cbrt-unprod_binary64
4×add-log-exp_binary64 insert-posit16
3×pow-unpow_binary64
2×pow-to-exp_binary64 pow1/3_binary64 sqr-pow_binary64 pow-exp_binary64
1×pow-prod-down_binary64 pow-pow_binary64 associate-*l*_binary64 unpow1/3_binary64 *-commutative_binary64
Counts
4 → 70
Calls
4 calls:
12.0ms
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 6)) 1/3)) (cbrt.f64 (cos.f64 y)))
3.0ms
(cbrt.f64 (pow.f64 (cos.f64 y) 6))
1.0ms
(cbrt.f64 (cos.f64 y))
3.0ms
(pow.f64 (cos.f64 y) 6)

series216.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 6)) 1/3)) (cbrt.f64 (cos.f64 y)))
46.0ms
(cbrt.f64 (pow.f64 (cos.f64 y) 6))
45.0ms
(cbrt.f64 (cos.f64 y))
72.0ms
(pow.f64 (cos.f64 y) 6)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
04209
14209
04209
14209
013
113
0219
1219
0219
1219
013
113
0259
1259
0259
1259
013
113
01289
11289
01289
11289
013
113

simplify96.0ms

Counts
82 → 82
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
05009657

prune54.0ms

Filtered
53 candidates to 82 candidates (-54.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New81182
Fresh178
Picked011
Done011
Total821092

Merged error: 0.0b

Counts
92 → 10

regimes65.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02029
12029

end0.0ms

sample1.7s

Algorithm
intervals
Results
669.0ms1487×body1280valid
357.0ms1250×body640valid
280.0ms4335×body80valid
116.0ms623×body320valid
40.0ms305×body160valid

Profiling

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