Details

Time bar (total: 5.1s)

analyze360.0ms (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%81.1%0.1%5
18.7%81.1%0.1%6
21.8%78%0.1%7
27.3%61.6%11.1%8
28.5%60.5%11.1%9
32.6%53.4%14%10
40.2%38.1%21.7%11
41.8%35.8%22.4%12
44.5%29.2%26.3%13
47.1%21.3%31.6%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample32.0ms (0.6%)

Algorithm
intervals
Results
9.0ms256×body128valid
8.0ms223×body128invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify264.0ms (5.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
0533512

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.5b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (cosh.f64 x) (/.f64 y x))
6.1b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite21.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_13578
16×add-cbrt-cube_binary64_13590 add-exp-log_binary64_13592
13×times-frac_binary64_13563 associate-*r*_binary64_13499
12×add-cube-cbrt_binary64_13589 *-un-lft-identity_binary64_13557
cbrt-undiv_binary64_13588 div-exp_binary64_13605
cosh-def_binary64_13740 prod-exp_binary64_13603 cbrt-unprod_binary64_13587 pow1_binary64_13615
associate-/l/_binary64_13506 associate-/r*_binary64_13503 associate-*l*_binary64_13500
associate-*r/_binary64_13501 div-inv_binary64_13554 unswap-sqr_binary64_13525 add-log-exp_binary64_13593 frac-times_binary64_13567 associate-*l/_binary64_13502
clear-num_binary64_13556 *-commutative_binary64_13490 pow-prod-down_binary64_13625 frac-2neg_binary64_13568 associate-/l*_binary64_13504
Counts
2 → 60
Calls

2 calls:

8.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
8.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

series417.0ms (8.1%)

Counts
2 → 6
Calls

2 calls:

257.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
160.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))

simplify75.0ms (1.5%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04953887
14953887

prune60.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New59766
Fresh000
Picked011
Done000
Total59867

Merged error: 0.0b

Counts
67 → 8
Compiler

Compiled 927 to 278 computations (70% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (cosh.f64 x) (/.f64 y x))
6.2b
(*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))

rewrite28.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
46×add-exp-log_binary64_13592
28×add-cbrt-cube_binary64_13590
26×associate-*r*_binary64_13499
22×prod-exp_binary64_13603 add-sqr-sqrt_binary64_13578
19×times-frac_binary64_13563
17×add-cube-cbrt_binary64_13589 *-un-lft-identity_binary64_13557
12×cbrt-unprod_binary64_13587
11×div-exp_binary64_13605
pow1_binary64_13615
cbrt-undiv_binary64_13588 cosh-def_binary64_13740 frac-times_binary64_13567 associate-*l/_binary64_13502
associate-*r/_binary64_13501 pow-prod-down_binary64_13625 associate-*l*_binary64_13500
1-exp_binary64_13598 rec-exp_binary64_13604
*-commutative_binary64_13490 div-inv_binary64_13554 unswap-sqr_binary64_13525 add-log-exp_binary64_13593
un-div-inv_binary64_13555
Counts
2 → 84
Calls

2 calls:

12.0ms
(*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
8.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))

series411.0ms (8%)

Counts
2 → 6
Calls

2 calls:

253.0ms
(*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
158.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))

simplify78.0ms (1.5%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049991265
149991265

prune67.0ms (1.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New88290
Fresh066
Picked011
Done011
Total881098

Merged error: 0.0b

Counts
98 → 10
Compiler

Compiled 1329 to 455 computations (65.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.4b
(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))
6.2b
(/.f64 z (/.f64 y x))

rewrite59.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
471×times-frac_binary64_13563
229×add-sqr-sqrt_binary64_13578 add-cube-cbrt_binary64_13589 *-un-lft-identity_binary64_13557
57×associate-/r*_binary64_13503
22×div-inv_binary64_13554
16×add-cbrt-cube_binary64_13590 add-exp-log_binary64_13592
cbrt-undiv_binary64_13588 div-exp_binary64_13605
associate-/l*_binary64_13504 associate-/r/_binary64_13505
clear-num_binary64_13556 pow1_binary64_13615 frac-2neg_binary64_13568 add-log-exp_binary64_13593
cosh-def_binary64_13740 associate-/l/_binary64_13506
Counts
2 → 267
Calls

2 calls:

15.0ms
(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))
7.0ms
(/.f64 z (/.f64 y x))

series348.0ms (6.8%)

Counts
2 → 6
Calls

2 calls:

301.0ms
(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))
46.0ms
(/.f64 z (/.f64 y x))

simplify124.0ms (2.4%)

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049836874
149836874

prune195.0ms (3.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2694273
Fresh527
Picked101
Done022
Total2758283

Merged error: 0b

Counts
283 → 8
Compiler

Compiled 5208 to 818 computations (84.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.4b
(/.f64 (cosh.f64 x) (*.f64 z (/.f64 x y)))
5.8b
(*.f64 z (/.f64 x y))

rewrite19.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_13578
16×add-cbrt-cube_binary64_13590 add-exp-log_binary64_13592
13×times-frac_binary64_13563 associate-*r*_binary64_13499
12×add-cube-cbrt_binary64_13589 *-un-lft-identity_binary64_13557
cbrt-undiv_binary64_13588 div-exp_binary64_13605
prod-exp_binary64_13603 cbrt-unprod_binary64_13587 pow1_binary64_13615
associate-/l*_binary64_13504 associate-*l*_binary64_13500
associate-*r/_binary64_13501 div-inv_binary64_13554 unswap-sqr_binary64_13525 add-log-exp_binary64_13593
clear-num_binary64_13556 cosh-def_binary64_13740 associate-/l/_binary64_13506 *-commutative_binary64_13490 associate-/r*_binary64_13503 pow-prod-down_binary64_13625 frac-2neg_binary64_13568 associate-/r/_binary64_13505
Counts
2 → 57
Calls

2 calls:

8.0ms
(*.f64 z (/.f64 x y))
7.0ms
(/.f64 (cosh.f64 x) (*.f64 z (/.f64 x y)))

series345.0ms (6.7%)

Counts
2 → 6
Calls

2 calls:

300.0ms
(/.f64 (cosh.f64 x) (*.f64 z (/.f64 x y)))
45.0ms
(*.f64 z (/.f64 x y))

simplify70.0ms (1.4%)

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05057769

prune39.0ms (0.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New63063
Fresh055
Picked011
Done022
Total63871

Merged error: 0b

Counts
71 → 8
Compiler

Compiled 787 to 192 computations (75.6% saved)

regimes491.0ms (9.5%)

Compiler

Compiled 2911 to 2033 computations (30.2% saved)

bsearch58.0ms (1.1%)

Steps
ItersRangePoint
9
1.867596125075861e-41
4.214486420084213e-35
3.8048841896904086e-36
6
-3.252894960030989e-60
-4.013245960347162e-61
-3.1942237371779685e-60
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02338
12338

end0.0ms (0%)

sample1.6s (30.2%)

Algorithm
intervals
Results
292.0ms8000×body128valid
267.0ms7407×body128invalid
Compiler

Compiled 589 to 408 computations (30.7% saved)

Profiling

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