Details

Time bar (total: 4.7s)

analyze330.0ms (7%)

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
12.5%87.4%0.1%4
18.7%81.2%0.1%5
21.9%78%0.1%6
50%43.7%6.3%7
50%43.7%6.3%8
56.2%34.3%9.5%9
56.2%34.3%9.5%10
59.3%29.7%11%11
59.3%29.7%11%12
60.9%27.3%11.8%13
60.9%27.3%11.8%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample69.0ms (1.5%)

Algorithm
intervals
Results
18.0ms66×body1024invalid
13.0ms57×body1024valid
8.0ms153×body128valid
5.0ms92×body128invalid
5.0ms33×body512invalid
4.0ms29×body512valid
2.0ms17×body256valid
2.0ms17×body256invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify148.0ms (3.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
0503011

prune6.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(sinh.f64 y)
0.0b
(/.f64 (sinh.f64 y) y)
0.0b
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

rewrite17.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64_3510
19×times-frac_binary64_3494 add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488
13×associate-*r*_binary64_3428
10×add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526
pow1_binary64_3549
associate-/r*_binary64_3432 associate-/l*_binary64_3433 associate-*l*_binary64_3429 add-log-exp_binary64_3527
unswap-sqr_binary64_3456 cbrt-unprod_binary64_3521 sinh-def_binary64_3673 div-exp_binary64_3539 cbrt-undiv_binary64_3522 div-inv_binary64_3485 prod-exp_binary64_3537
clear-num_binary64_3487 associate-/l/_binary64_3435 associate-*r/_binary64_3430 pow-prod-down_binary64_3559 frac-2neg_binary64_3499 *-commutative_binary64_3419
Counts
3 → 68
Calls

3 calls:

8.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms
(/.f64 (sinh.f64 y) y)
1.0ms
(sinh.f64 y)

series461.0ms (9.8%)

Counts
3 → 22
Calls

3 calls:

304.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
93.0ms
(/.f64 (sinh.f64 y) y)
64.0ms
(sinh.f64 y)
Compiler

Compiled 579 to 476 computations (17.8% saved)

simplify76.0ms (1.6%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049361287
149361287

prune66.0ms (1.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New88290
Fresh000
Picked101
Done000
Total89291

Merged error: 0b

Counts
91 → 2
Compiler

Compiled 1223 to 424 computations (65.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (/.f64 (sinh.f64 y) y))
0.0b
(/.f64 (sinh.f64 y) y)
0.0b
(/.f64 (sinh.f64 y) y)
0.0b
(*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y)))

rewrite29.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt_binary64_3510
38×times-frac_binary64_3494
36×add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488
28×sqrt-prod_binary64_3504
16×associate-*r*_binary64_3428
10×add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526
pow1_binary64_3549
associate-/r*_binary64_3432 associate-/l*_binary64_3433
add-log-exp_binary64_3527 div-inv_binary64_3485
unswap-sqr_binary64_3456 associate-*l*_binary64_3429
clear-num_binary64_3487 sqrt-div_binary64_3505 associate-/l/_binary64_3435 frac-2neg_binary64_3499 sinh-def_binary64_3673 div-exp_binary64_3539 cbrt-undiv_binary64_3522 rem-sqrt-square_binary64_3501
cbrt-unprod_binary64_3521 associate-*r/_binary64_3430 pow-prod-down_binary64_3559 pow1/2_binary64_3568 *-commutative_binary64_3419 sqrt-pow1_binary64_3506 prod-exp_binary64_3537
Counts
4 → 115
Calls

4 calls:

9.0ms
(*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
3.0ms
(/.f64 (sinh.f64 y) y)
3.0ms
(/.f64 (sinh.f64 y) y)
3.0ms
(sqrt.f64 (/.f64 (sinh.f64 y) y))

series584.0ms (12.4%)

Counts
4 → 28
Calls

4 calls:

299.0ms
(*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
99.0ms
(sqrt.f64 (/.f64 (sinh.f64 y) y))
97.0ms
(/.f64 (sinh.f64 y) y)
89.0ms
(/.f64 (sinh.f64 y) y)
Compiler

Compiled 1217 to 969 computations (20.4% saved)

simplify60.0ms (1.3%)

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049742100
149742100

prune105.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1430143
Fresh011
Picked011
Done000
Total1432145

Merged error: 0b

Counts
145 → 2
Compiler

Compiled 2894 to 693 computations (76.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 (*.f64 y y) 1/6) (*.f64 1/120 (pow.f64 y 4)))
0.1b
(*.f64 1/120 (pow.f64 y 4))
0.1b
(*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 y y) 1/6) (*.f64 1/120 (pow.f64 y 4))))
0.2b
(*.f64 (*.f64 y y) 1/6)

rewrite35.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt_binary64_3510
16×add-exp-log_binary64_3526
13×add-cbrt-cube_binary64_3524 associate-*r*_binary64_3428
11×pow1_binary64_3549
10×add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488
associate-*l*_binary64_3429 prod-exp_binary64_3537
add-log-exp_binary64_3527
unswap-sqr_binary64_3456 cbrt-unprod_binary64_3521
unpow-prod-down_binary64_3567 pow-prod-down_binary64_3559
*-commutative_binary64_3419
flip-+_binary64_3462 flip3-+_binary64_3491 associate-*r/_binary64_3430 sqr-pow_binary64_3460
pow-exp_binary64_3556 distribute-lft-in_binary64_3437 distribute-rgt-in_binary64_3438 +-commutative_binary64_3418 pow-to-exp_binary64_3557 sum-log_binary64_3579
Counts
4 → 77
Calls

4 calls:

10.0ms
(*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 y y) 1/6) (*.f64 1/120 (pow.f64 y 4))))
7.0ms
(+.f64 (*.f64 (*.f64 y y) 1/6) (*.f64 1/120 (pow.f64 y 4)))
7.0ms
(*.f64 1/120 (pow.f64 y 4))
6.0ms
(*.f64 (*.f64 y y) 1/6)

series261.0ms (5.6%)

Counts
4 → 18
Calls

4 calls:

161.0ms
(*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 y y) 1/6) (*.f64 1/120 (pow.f64 y 4))))
35.0ms
(*.f64 1/120 (pow.f64 y 4))
32.0ms
(+.f64 (*.f64 (*.f64 y y) 1/6) (*.f64 1/120 (pow.f64 y 4)))
32.0ms
(*.f64 (*.f64 y y) 1/6)
Compiler

Compiled 614 to 500 computations (18.6% saved)

simplify58.0ms (1.2%)

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049571421
149571421

prune101.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New95095
Fresh000
Picked011
Done011
Total95297

Merged error: 0b

Counts
97 → 2
Compiler

Compiled 2051 to 1188 computations (42.1% saved)

regimes119.0ms (2.5%)

Compiler

Compiled 842 to 561 computations (33.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01123
11123

end0.0ms (0%)

sample2.1s (45.7%)

Algorithm
intervals
Results
443.0ms2018×body1024valid
403.0ms1929×body1024invalid
242.0ms4405×body128valid
153.0ms1074×body512valid
139.0ms919×body512invalid
136.0ms2527×body128invalid
54.0ms500×body256valid
48.0ms483×body256invalid
2.0msbody2048valid
0.0msbody2048invalid
Compiler

Compiled 175 to 117 computations (33.1% saved)

Profiling

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