Details

Time bar (total: 4.9s)

analyze846.0ms (17.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
37.5%62.5%0%4
43.7%56.2%0%5
46.9%53.1%0%6
48.4%51.5%0%7
49.2%50.8%0%8
49.6%50.4%0%9
49.8%50.2%0%10
49.9%50.1%0%11
49.9%50%0%12
50%50%0%13
50%49.9%0%14

sample74.0ms (1.5%)

Algorithm
1×intervals
Results
23.0ms33×body1280valid
18.0ms42×body640valid
17.0ms145×body80valid
7.0ms23×body320valid
3.0ms13×body160valid

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
019016
119016

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 19.0b

Counts
2 → 1

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b
(*.f64 (*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5))) (sin.f64 (*.f64 x 0.5)))
0.4b
(*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5)))
18.8b
(/.f64 (*.f64 (*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5))) (sin.f64 (*.f64 x 0.5))) (sin.f64 x))

rewrite31.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
31×add-exp-log_binary64 add-cbrt-cube_binary64
19×add-sqr-sqrt_binary64
14×*-un-lft-identity_binary64 add-cube-cbrt_binary64 associate-*l*_binary64
13×times-frac_binary64
12×cbrt-unprod_binary64 prod-exp_binary64
10×pow1_binary64
7×cbrt-undiv_binary64 div-exp_binary64
6×associate-*r*_binary64
5×associate-*l/_binary64
4×pow-prod-down_binary64
3×associate-/r*_binary64 add-log-exp_binary64
2×unswap-sqr_binary64 div-inv_binary64 *-commutative_binary64
1×associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64
Counts
3 → 79
Calls

3 calls:

11.0ms
(/.f64 (*.f64 (*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5))) (sin.f64 (*.f64 x 0.5))) (sin.f64 x))
10.0ms
(*.f64 (*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5))) (sin.f64 (*.f64 x 0.5)))
8.0ms
(*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5)))

series32.0ms (0.6%)

Counts
3 → 9
Calls

3 calls:

15.0ms
(/.f64 (*.f64 (*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5))) (sin.f64 (*.f64 x 0.5))) (sin.f64 x))
11.0ms
(*.f64 (*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5))) (sin.f64 (*.f64 x 0.5)))
5.0ms
(*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5)))

simplify71.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
050131012

prune162.0ms (3.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New761288
Fresh000
Picked101
Done000
Total771289

Merged error: 0.1b

Counts
89 → 12

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5)))
0.2b
(/.f64 (*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5))))
0.4b
(*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5)))

rewrite27.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
50×times-frac_binary64
38×add-sqr-sqrt_binary64
33×*-un-lft-identity_binary64 add-cube-cbrt_binary64
31×add-exp-log_binary64 add-cbrt-cube_binary64
16×associate-/r*_binary64
13×cbrt-undiv_binary64 associate-*l*_binary64 div-exp_binary64
6×cbrt-unprod_binary64 prod-exp_binary64
5×pow1_binary64 div-inv_binary64
4×associate-/l*_binary64
3×add-log-exp_binary64 associate-*r*_binary64
2×unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 associate-/l/_binary64 associate-/r/_binary64 *-commutative_binary64
Counts
3 → 110
Calls

3 calls:

11.0ms
(/.f64 (*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5))))
8.0ms
(*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5)))
5.0ms
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5)))

series28.0ms (0.6%)

Counts
3 → 9
Calls

3 calls:

15.0ms
(/.f64 (*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5))))
8.0ms
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5)))
5.0ms
(*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5)))

simplify67.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
050761580

prune197.0ms (4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1154119
Fresh5611
Picked101
Done000
Total12110131

Merged error: 0b

Counts
131 → 10

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b
(/.f64 (sin.f64 (*.f64 x 0.5)) 3.0)
0.2b
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5)))
0.2b
(/.f64 (*.f64 8.0 (/.f64 (sin.f64 (*.f64 x 0.5)) 3.0)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5))))

rewrite27.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
49×times-frac_binary64
33×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
28×add-exp-log_binary64 add-cbrt-cube_binary64
19×associate-/r*_binary64
13×cbrt-undiv_binary64 div-exp_binary64
7×associate-/l*_binary64
5×div-inv_binary64
4×cbrt-unprod_binary64 prod-exp_binary64
3×add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64
1×associate-/l/_binary64 associate-*r/_binary64 associate-/r/_binary64
Counts
3 → 105
Calls

3 calls:

12.0ms
(/.f64 (*.f64 8.0 (/.f64 (sin.f64 (*.f64 x 0.5)) 3.0)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5))))
7.0ms
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5)))
4.0ms
(/.f64 (sin.f64 (*.f64 x 0.5)) 3.0)

series29.0ms (0.6%)

Counts
3 → 9
Calls

3 calls:

15.0ms
(/.f64 (*.f64 8.0 (/.f64 (sin.f64 (*.f64 x 0.5)) 3.0)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5))))
8.0ms
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5)))
5.0ms
(/.f64 (sin.f64 (*.f64 x 0.5)) 3.0)

simplify70.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049921557
149921557

prune176.0ms (3.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1131114
Fresh279
Picked011
Done000
Total1159124

Merged error: 0b

Counts
124 → 9

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(/.f64 (sin.f64 (*.f64 x 0.5)) 3.0)
0.1b
(/.f64 1 (sin.f64 (*.f64 x 0.5)))
0.4b
(*.f64 (/.f64 (sin.f64 (*.f64 x 0.5)) 3.0) (/.f64 8.0 (sin.f64 x)))
0.4b
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 0.5)) 3.0) (/.f64 8.0 (sin.f64 x))) (/.f64 1 (sin.f64 (*.f64 x 0.5))))

rewrite49.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
99×add-exp-log_binary64
71×times-frac_binary64
61×add-cbrt-cube_binary64
60×add-sqr-sqrt_binary64
53×div-exp_binary64
48×*-un-lft-identity_binary64 add-cube-cbrt_binary64
29×cbrt-undiv_binary64
20×prod-exp_binary64
19×associate-/r*_binary64
13×associate-*r*_binary64 associate-*l*_binary64
12×cbrt-unprod_binary64
7×pow1_binary64 associate-/l*_binary64 div-inv_binary64
6×1-exp_binary64 rec-exp_binary64
4×add-log-exp_binary64 unswap-sqr_binary64
3×associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64
2×associate-*r/_binary64 frac-times_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 associate-/r/_binary64 inv-pow_binary64 pow-flip_binary64 *-commutative_binary64
Counts
4 → 179
Calls

4 calls:

13.0ms
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 0.5)) 3.0) (/.f64 8.0 (sin.f64 x))) (/.f64 1 (sin.f64 (*.f64 x 0.5))))
11.0ms
(*.f64 (/.f64 (sin.f64 (*.f64 x 0.5)) 3.0) (/.f64 8.0 (sin.f64 x)))
5.0ms
(/.f64 (sin.f64 (*.f64 x 0.5)) 3.0)
5.0ms
(/.f64 1 (sin.f64 (*.f64 x 0.5)))

series65.0ms (1.3%)

Counts
4 → 12
Calls

4 calls:

29.0ms
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 0.5)) 3.0) (/.f64 8.0 (sin.f64 x))) (/.f64 1 (sin.f64 (*.f64 x 0.5))))
20.0ms
(*.f64 (/.f64 (sin.f64 (*.f64 x 0.5)) 3.0) (/.f64 8.0 (sin.f64 x)))
11.0ms
(/.f64 1 (sin.f64 (*.f64 x 0.5)))
5.0ms
(/.f64 (sin.f64 (*.f64 x 0.5)) 3.0)

simplify83.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
050712479

prune304.0ms (6.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1910191
Fresh077
Picked011
Done011
Total1919200

Merged error: 0b

Counts
200 → 9

regimes48.0ms (1%)

Accuracy

Total 0.3b remaining (85.6%)

Threshold costs 0.3b (85.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01316
11316

end0.0ms (0%)

sample2.4s (49.9%)

Algorithm
1×intervals
Results
1.0s1448×body1280valid
542.0ms1214×body640valid
446.0ms4379×body80valid
203.0ms654×body320valid
68.0ms305×body160valid

Profiling

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