Details

Time bar (total: 6.4s)

analyze826.0ms (12.9%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02440
12440
022
122
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)

sample58.0ms (0.9%)

Algorithm
1×intervals
Results
15.0ms33×body2048valid
15.0ms49×body1024valid
9.0ms126×body128valid
6.0ms26×body512valid
3.0ms21×body256valid
1.0ms1×body4096valid
Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01420
11420

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
37.2b
Counts
2 → 1
Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

6.0b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
30.2b
(sin.f64 (/.f64 x (*.f64 y 2)))
30.8b
(tan.f64 (/.f64 x (*.f64 y 2)))

rewrite13.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64_15786 add-cube-cbrt_binary64_15799 *-un-lft-identity_binary64_15764
9×times-frac_binary64_15770
5×add-cbrt-cube_binary64_15800 add-exp-log_binary64_15802
3×add-log-exp_binary64_15803 associate-/r*_binary64_15708 associate-/l*_binary64_15709 pow1_binary64_15825
2×tan-quot_binary64_15923
1×cbrt-undiv_binary64_15798 div-inv_binary64_15761 frac-2neg_binary64_15775 associate-/l/_binary64_15711 clear-num_binary64_15763 div-exp_binary64_15815
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
(tan.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

series138.0ms (2.2%)

Counts
3 → 9
Calls

3 calls:

68.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
58.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))
12.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

simplify59.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
051461144

prune105.0ms (1.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New401252
Fresh000
Picked101
Done000
Total411253
Error
28.1b
Counts
53 → 12
Compiler

Compiled 1288 to 956 computations (25.8% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune17.0ms (0.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01111
Picked011
Done000
Total01212
Error
28.1b
Counts
12 → 12
Compiler

Compiled 252 to 206 computations (18.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.0b
(/.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (cos.f64 (/.f64 x (*.f64 y 2)))))
30.2b
(sin.f64 (/.f64 x (*.f64 y 2)))
30.2b
(sin.f64 (/.f64 x (*.f64 y 2)))
30.9b
(cos.f64 (/.f64 x (*.f64 y 2)))

rewrite18.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
9×add-cbrt-cube_binary64_15800 add-exp-log_binary64_15802
6×add-sqr-sqrt_binary64_15786 add-cube-cbrt_binary64_15799 *-un-lft-identity_binary64_15764
4×add-log-exp_binary64_15803 pow1_binary64_15825
3×times-frac_binary64_15770 associate-/l*_binary64_15709
2×cbrt-undiv_binary64_15798 div-exp_binary64_15815
1×div-inv_binary64_15761 cbrt-unprod_binary64_15797 sin-cos-mult_binary64_15920 frac-2neg_binary64_15775 associate-/r*_binary64_15708 prod-exp_binary64_15813 clear-num_binary64_15763 associate-/r/_binary64_15710
Counts
4 → 43
Calls

4 calls:

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

series65.0ms (1%)

Counts
4 → 12
Calls

4 calls:

29.0ms
(/.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (cos.f64 (/.f64 x (*.f64 y 2)))))
14.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
11.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
11.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

simplify105.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
04761830
14761830

prune95.0ms (1.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New451055
Fresh3710
Picked101
Done011
Total491867
Error
28.1b
Counts
67 → 18
Compiler

Compiled 1583 to 1179 computations (25.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))
30.9b
(cos.f64 (/.f64 x (*.f64 y 2)))
30.9b
(cos.f64 (/.f64 x (*.f64 y 2)))
30.9b
(cos.f64 (/.f64 x (*.f64 y 2)))

rewrite40.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
80×cbrt-prod_binary64_15795
76×add-sqr-sqrt_binary64_15786
52×times-frac_binary64_15770
46×*-un-lft-identity_binary64_15764
36×add-cube-cbrt_binary64_15799
18×swap-sqr_binary64_15731
16×associate-*l*_binary64_15705 associate-*r*_binary64_15704 unswap-sqr_binary64_15732
11×pow1_binary64_15825
6×div-inv_binary64_15761 add-exp-log_binary64_15802 pow1/3_binary64_15846
4×add-log-exp_binary64_15803 add-cbrt-cube_binary64_15800 cbrt-div_binary64_15796
2×pow-sqr_binary64_15737 pow-prod-up_binary64_15834 pow-prod-down_binary64_15835
1×associate-*l/_binary64_15707 pow2_binary64_15845 associate-*r/_binary64_15706 pow-plus_binary64_15827 cbrt-unprod_binary64_15797 frac-times_binary64_15774 prod-exp_binary64_15813 *-commutative_binary64_15695
Counts
4 → 108
Calls

4 calls:

18.0ms
(*.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))
2.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))

series164.0ms (2.6%)

Counts
4 → 12
Calls

4 calls:

124.0ms
(*.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))
14.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
13.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
13.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))

simplify92.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049503493
149503493

prune275.0ms (4.3%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New1128120
Fresh51116
Picked101
Done011
Total11820138
Error
27.8b
Counts
138 → 20
Compiler

Compiled 4395 to 3542 computations (19.4% saved)

regimes937.0ms (14.6%)

Accuracy

Total 1.5b remaining (5.5%)

Threshold costs 0b (0%)

Compiler

Compiled 7951 to 6648 computations (16.4% saved)

bsearch3.0ms (0%)

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02443
12443

end0.0ms (0%)

sample3.3s (52.2%)

Algorithm
1×intervals
Results
491.0ms1057×body2048valid
416.0ms1347×body1024valid
331.0ms4267×body128valid
194.0ms833×body512valid
84.0ms491×body256valid
5.0ms5×body4096valid
Compiler

Compiled 1656 to 1385 computations (16.4% saved)

Profiling

Loading profile data...