Details

Time bar (total: 5.9s)

analyze446.0ms (7.6%)

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 (0.5%)

Algorithm
intervals
Results
9.0ms256×body128valid
8.0ms229×body128invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify291.0ms (4.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (148.0ms)

IterNodesCost
0486812
1486812

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
8.0b
Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(cosh.f64 x)
0.0b
(*.f64 (cosh.f64 x) (/.f64 y x))
7.5b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite47.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt_binary64_9648
17×add-exp-log_binary64_9664 add-cbrt-cube_binary64_9662
13×times-frac_binary64_9632 add-cube-cbrt_binary64_9661 *-un-lft-identity_binary64_9626 associate-*r*_binary64_9566
cosh-def_binary64_9812 div-exp_binary64_9677 cbrt-undiv_binary64_9660 pow1_binary64_9687
prod-exp_binary64_9675 cbrt-unprod_binary64_9659
associate-*l*_binary64_9567 add-log-exp_binary64_9665 associate-/l/_binary64_9573 associate-/r*_binary64_9570
associate-*l/_binary64_9569 frac-times_binary64_9636 unswap-sqr_binary64_9594 div-inv_binary64_9623 associate-*r/_binary64_9568
pow-prod-down_binary64_9697 *-commutative_binary64_9557 associate-/l*_binary64_9571 frac-2neg_binary64_9637 clear-num_binary64_9625
Counts
3 → 68
Calls

3 calls:

20.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
16.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
2.0ms
(cosh.f64 x)

series345.0ms (5.9%)

Counts
3 → 9
Calls

3 calls:

174.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
122.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
49.0ms
(cosh.f64 x)

simplify120.0ms (2%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
04954985
14954985

prune123.0ms (2.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New70777
Fresh000
Picked101
Done000
Total71778
Error
0.0b
Counts
78 → 7
Compiler

Compiled 1061 to 327 computations (69.2% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(cosh.f64 x)
0.0b
(*.f64 (cosh.f64 x) y)
5.2b
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z))

rewrite28.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
17×add-exp-log_binary64_9664 add-cbrt-cube_binary64_9662
add-sqr-sqrt_binary64_9648
add-cube-cbrt_binary64_9661 prod-exp_binary64_9675 *-un-lft-identity_binary64_9626 pow1_binary64_9687 cbrt-unprod_binary64_9659
div-exp_binary64_9677 cbrt-undiv_binary64_9660
associate-*l*_binary64_9567 cosh-def_binary64_9812 add-log-exp_binary64_9665 associate-*r*_binary64_9566
associate-*l/_binary64_9569
times-frac_binary64_9632 pow-prod-down_binary64_9697 *-commutative_binary64_9557 associate-/l/_binary64_9573 unswap-sqr_binary64_9594 associate-/l*_binary64_9571 frac-2neg_binary64_9637 div-inv_binary64_9623 clear-num_binary64_9625 associate-/r*_binary64_9570
Counts
3 → 49
Calls

3 calls:

11.0ms
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z))
7.0ms
(*.f64 (cosh.f64 x) y)
2.0ms
(cosh.f64 x)

series304.0ms (5.2%)

Counts
3 → 9
Calls

3 calls:

164.0ms
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z))
103.0ms
(*.f64 (cosh.f64 x) y)
38.0ms
(cosh.f64 x)

simplify76.0ms (1.3%)

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05007672

prune56.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New55358
Fresh336
Picked011
Done000
Total58765
Error
0.0b
Counts
65 → 7
Compiler

Compiled 769 to 246 computations (68% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(cosh.f64 x)
0.0b
(*.f64 (cosh.f64 x) y)
0.3b
(/.f64 1 (*.f64 x z))
5.6b
(*.f64 (*.f64 (cosh.f64 x) y) (/.f64 1 (*.f64 x z)))

rewrite26.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
62×add-exp-log_binary64_9664
32×add-cbrt-cube_binary64_9662
31×prod-exp_binary64_9675
14×pow1_binary64_9687
13×cbrt-unprod_binary64_9659
12×add-sqr-sqrt_binary64_9648 div-exp_binary64_9677
10×add-cube-cbrt_binary64_9661 *-un-lft-identity_binary64_9626 associate-*r*_binary64_9566
times-frac_binary64_9632 1-exp_binary64_9670 rec-exp_binary64_9676 cbrt-undiv_binary64_9660
pow-prod-down_binary64_9697
associate-*l/_binary64_9569 associate-*l*_binary64_9567 cosh-def_binary64_9812 add-log-exp_binary64_9665
associate-/l*_binary64_9571
pow-flip_binary64_9700 *-commutative_binary64_9557 div-inv_binary64_9623
un-div-inv_binary64_9624 frac-times_binary64_9636 inv-pow_binary64_9711 unswap-sqr_binary64_9594 frac-2neg_binary64_9637 clear-num_binary64_9625 associate-/r*_binary64_9570 associate-*r/_binary64_9568
Counts
4 → 97
Calls

4 calls:

10.0ms
(*.f64 (*.f64 (cosh.f64 x) y) (/.f64 1 (*.f64 x z)))
4.0ms
(/.f64 1 (*.f64 x z))
4.0ms
(*.f64 (cosh.f64 x) y)
1.0ms
(cosh.f64 x)

series339.0ms (5.8%)

Counts
4 → 12
Calls

4 calls:

179.0ms
(*.f64 (*.f64 (cosh.f64 x) y) (/.f64 1 (*.f64 x z)))
91.0ms
(*.f64 (cosh.f64 x) y)
52.0ms
(cosh.f64 x)
17.0ms
(/.f64 1 (*.f64 x z))

simplify121.0ms (2.1%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
051441163

prune114.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1072109
Fresh055
Picked101
Done011
Total1088116
Error
0b
Counts
116 → 8
Compiler

Compiled 1452 to 501 computations (65.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(cosh.f64 x)
0.0b
(*.f64 (cosh.f64 x) y)
0.2b
(/.f64 (/.f64 1 x) z)
5.6b
(*.f64 (*.f64 (cosh.f64 x) y) (/.f64 (/.f64 1 x) z))

rewrite56.0ms (1%)

Algorithm
rewrite-expression-head
Rules
141×times-frac_binary64_9632
85×add-sqr-sqrt_binary64_9648
83×add-cube-cbrt_binary64_9661 *-un-lft-identity_binary64_9626
50×add-exp-log_binary64_9664
46×associate-*r*_binary64_9566
32×add-cbrt-cube_binary64_9662
18×div-exp_binary64_9677
16×prod-exp_binary64_9675
13×associate-/l*_binary64_9571
11×pow1_binary64_9687
10×cbrt-unprod_binary64_9659
cbrt-undiv_binary64_9660 div-inv_binary64_9623
associate-*l/_binary64_9569 associate-*l*_binary64_9567 cosh-def_binary64_9812 add-log-exp_binary64_9665 pow-prod-down_binary64_9697
1-exp_binary64_9670 rec-exp_binary64_9676 associate-/r*_binary64_9570
*-commutative_binary64_9557
frac-times_binary64_9636 associate-/l/_binary64_9573 unswap-sqr_binary64_9594 frac-2neg_binary64_9637 clear-num_binary64_9625 associate-*r/_binary64_9568
Counts
4 → 172
Calls

4 calls:

20.0ms
(*.f64 (*.f64 (cosh.f64 x) y) (/.f64 (/.f64 1 x) z))
6.0ms
(/.f64 (/.f64 1 x) z)
4.0ms
(*.f64 (cosh.f64 x) y)
1.0ms
(cosh.f64 x)

series323.0ms (5.5%)

Counts
4 → 12
Calls

4 calls:

195.0ms
(*.f64 (*.f64 (cosh.f64 x) y) (/.f64 (/.f64 1 x) z))
81.0ms
(*.f64 (cosh.f64 x) y)
36.0ms
(cosh.f64 x)
10.0ms
(/.f64 (/.f64 1 x) z)

simplify122.0ms (2.1%)

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
049582744
149582744

prune188.0ms (3.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1840184
Fresh066
Picked011
Done011
Total1848192
Error
0b
Counts
192 → 8
Compiler

Compiled 2974 to 1209 computations (59.3% saved)

regimes574.0ms (9.8%)

Accuracy

Total 0.3b remaining (90.2%)

Threshold costs 0.3b (90.2%)

Compiler

Compiled 2419 to 1752 computations (27.6% saved)

bsearch2.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02664
12664

end0.0ms (0%)

sample2.1s (35.6%)

Algorithm
intervals
Results
406.0ms8000×body128valid
392.0ms7363×body128invalid
Compiler

Compiled 514 to 358 computations (30.4% saved)

Profiling

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