Details

Time bar (total: 6.8s)

analyze769.0ms (11.3%)

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
18.7%81.2%0.1%7
32.8%67.1%0.1%8
38.2%61.7%0.1%9
41%58.9%0.1%10
43.9%56%0.1%11
45.4%54.5%0.1%12
46.9%53%0.1%13
47.6%52.3%0.1%14
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample57.0ms (0.8%)

Algorithm
intervals
Results
16.0ms34×body2048valid
12.0ms38×body1024valid
11.0ms145×body128valid
6.0ms26×body512valid
3.0ms13×body256valid
Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify102.0ms (1.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01420
11420

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 34.3b

Counts
2 → 1
Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

7.7b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
26.6b
(tan.f64 (/.f64 x (*.f64 y 2)))
27.0b
(sin.f64 (/.f64 x (*.f64 y 2)))

rewrite13.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
11×add-cube-cbrt_binary64_19891 add-sqr-sqrt_binary64_19878 *-un-lft-identity_binary64_19856
times-frac_binary64_19862
add-cbrt-cube_binary64_19892 add-exp-log_binary64_19894
associate-/r*_binary64_19800 pow1_binary64_19917 add-log-exp_binary64_19895 associate-/l*_binary64_19801
tan-quot_binary64_20015
cbrt-undiv_binary64_19890 div-exp_binary64_19907 associate-/l/_binary64_19803 clear-num_binary64_19855 div-inv_binary64_19853 frac-2neg_binary64_19867
Counts
3 → 43
Calls

3 calls:

5.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
2.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))

series258.0ms (3.8%)

Counts
3 → 21
Calls

3 calls:

119.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
82.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
57.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
Compiler

Compiled 583 to 493 computations (15.4% saved)

simplify49.0ms (0.7%)

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049551288
149551288

prune126.0ms (1.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New442064
Fresh000
Picked101
Done000
Total452065

Merged error: 24.1b

Counts
65 → 20
Compiler

Compiled 1612 to 1191 computations (26.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 1/2 (/.f64 x y))
0.1b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
27.1b
(cos.f64 (*.f64 1/2 (/.f64 x y)))

rewrite18.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64_19878
19×add-cube-cbrt_binary64_19891 *-un-lft-identity_binary64_19856 times-frac_binary64_19862
13×associate-*r*_binary64_19796
12×add-exp-log_binary64_19894
10×add-cbrt-cube_binary64_19892
pow1_binary64_19917
associate-/r*_binary64_19800 div-exp_binary64_19907 add-log-exp_binary64_19895 associate-*l*_binary64_19797 associate-/l*_binary64_19801
cbrt-undiv_binary64_19890 unswap-sqr_binary64_19824 prod-exp_binary64_19905 div-inv_binary64_19853 cbrt-unprod_binary64_19889
inv-pow_binary64_19941 *-commutative_binary64_19787 rec-exp_binary64_19906 associate-*r/_binary64_19798 clear-num_binary64_19855 pow-prod-down_binary64_19927 frac-2neg_binary64_19867 pow-flip_binary64_19930 1-exp_binary64_19900
Counts
3 → 70
Calls

3 calls:

7.0ms
(*.f64 1/2 (/.f64 x y))
4.0ms
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
2.0ms
(cos.f64 (*.f64 1/2 (/.f64 x y)))

series155.0ms (2.3%)

Counts
3 → 21
Calls

3 calls:

62.0ms
(*.f64 1/2 (/.f64 x y))
50.0ms
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
43.0ms
(cos.f64 (*.f64 1/2 (/.f64 x y)))
Compiler

Compiled 345 to 351 computations (-1.7% saved)

simplify67.0ms (1%)

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049381125
149381125

prune116.0ms (1.7%)

Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New761591
Fresh11819
Picked101
Done000
Total8823111

Merged error: 23.1b

Counts
111 → 23
Compiler

Compiled 1528 to 1055 computations (31% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
27.1b
(cos.f64 (*.f64 1/2 (/.f64 x y)))
27.1b
(cos.f64 (*.f64 1/2 (/.f64 x y)))
27.1b
(cos.f64 (*.f64 1/2 (/.f64 x y)))

rewrite10.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-cube-cbrt_binary64_19891 add-sqr-sqrt_binary64_19878 *-un-lft-identity_binary64_19856
pow1_binary64_19917 add-cbrt-cube_binary64_19892 add-log-exp_binary64_19895 add-exp-log_binary64_19894
cbrt-prod_binary64_19887
pow1/3_binary64_19938
Counts
4 → 32
Calls

4 calls:

2.0ms
(cos.f64 (*.f64 1/2 (/.f64 x y)))
2.0ms
(cos.f64 (*.f64 1/2 (/.f64 x y)))
2.0ms
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1.0ms
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))

series324.0ms (4.7%)

Counts
4 → 36
Calls

4 calls:

177.0ms
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
50.0ms
(cos.f64 (*.f64 1/2 (/.f64 x y)))
49.0ms
(cos.f64 (*.f64 1/2 (/.f64 x y)))
47.0ms
(cos.f64 (*.f64 1/2 (/.f64 x y)))
Compiler

Compiled 1677 to 1369 computations (18.4% saved)

simplify69.0ms (1%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04891724
14891724

prune127.0ms (1.9%)

Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New65368
Fresh12122
Picked101
Done000
Total672491

Merged error: 23.0b

Counts
91 → 24
Compiler

Compiled 2324 to 1571 computations (32.4% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

27.1b
(cos.f64 (*.f64 1/2 (/.f64 x y)))
27.1b
(cos.f64 (*.f64 1/2 (/.f64 x y)))
27.1b
(cos.f64 (*.f64 1/2 (/.f64 x y)))
27.1b
(cos.f64 (*.f64 1/2 (/.f64 x y)))

rewrite11.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64_19917 add-cube-cbrt_binary64_19891 add-sqr-sqrt_binary64_19878 add-cbrt-cube_binary64_19892 *-un-lft-identity_binary64_19856 add-log-exp_binary64_19895 add-exp-log_binary64_19894
Counts
4 → 28
Calls

4 calls:

2.0ms
(cos.f64 (*.f64 1/2 (/.f64 x y)))
2.0ms
(cos.f64 (*.f64 1/2 (/.f64 x y)))
2.0ms
(cos.f64 (*.f64 1/2 (/.f64 x y)))
2.0ms
(cos.f64 (*.f64 1/2 (/.f64 x y)))

series251.0ms (3.7%)

Counts
4 → 36
Calls

4 calls:

65.0ms
(cos.f64 (*.f64 1/2 (/.f64 x y)))
64.0ms
(cos.f64 (*.f64 1/2 (/.f64 x y)))
62.0ms
(cos.f64 (*.f64 1/2 (/.f64 x y)))
60.0ms
(cos.f64 (*.f64 1/2 (/.f64 x y)))
Compiler

Compiled 2820 to 2152 computations (23.7% saved)

simplify80.0ms (1.2%)

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04946676
14946676

prune147.0ms (2.1%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New62264
Fresh02323
Picked011
Done000
Total622688

Merged error: 23.0b

Counts
88 → 26
Compiler

Compiled 2964 to 1964 computations (33.7% saved)

regimes792.0ms (11.6%)

Compiler

Compiled 8529 to 6890 computations (19.2% saved)

bsearch1.0ms (0%)

Steps
ItersRangePoint
0
2.522811672114758
2.5615870738446156
2.542199372979687
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01951
11951

end0.0ms (0%)

sample3.2s (47.4%)

Algorithm
intervals
Results
534.0ms1113×body2048valid
426.0ms1316×body1024valid
338.0ms4233×body128valid
194.0ms847×body512valid
83.0ms487×body256valid
4.0msbody4096valid
Compiler

Compiled 1516 to 1221 computations (19.5% saved)

Profiling

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