Details

Time bar (total: 4.3s)

analyze484.0ms (11.4%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0496348
1496348
033
133
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)

sample30.0ms (0.7%)

Algorithm
intervals
Results
8.0ms256×body128valid
8.0ms253×body128invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify105.0ms (2.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (99.0ms)

IterNodesCost
0486812
1486812

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
6.5b
Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (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 (0.5%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_13740
16×add-cbrt-cube_binary64_13754 add-exp-log_binary64_13756
13×times-frac_binary64_13724 associate-*r*_binary64_13658
12×*-un-lft-identity_binary64_13718 add-cube-cbrt_binary64_13753
div-exp_binary64_13769 cbrt-undiv_binary64_13752
pow1_binary64_13779 prod-exp_binary64_13767 cosh-def_binary64_13904 cbrt-unprod_binary64_13751
associate-/r*_binary64_13662 associate-*l*_binary64_13659 associate-/l/_binary64_13665
associate-*r/_binary64_13660 add-log-exp_binary64_13757 frac-times_binary64_13728 associate-*l/_binary64_13661 unswap-sqr_binary64_13686 div-inv_binary64_13715
frac-2neg_binary64_13729 *-commutative_binary64_13649 pow-prod-down_binary64_13789 associate-/l*_binary64_13663 clear-num_binary64_13717
Counts
2 → 60
Calls

2 calls:

10.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
6.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

series205.0ms (4.8%)

Counts
2 → 6
Calls

2 calls:

126.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
79.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))

simplify76.0ms (1.8%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
05024887

prune59.0ms (1.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New58866
Fresh000
Picked101
Done000
Total59867
Error
0.0b
Counts
67 → 8
Compiler

Compiled 945 to 288 computations (69.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite35.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
144×times-frac_binary64_13724
89×add-sqr-sqrt_binary64_13740
80×*-un-lft-identity_binary64_13718 add-cube-cbrt_binary64_13753
43×associate-*r*_binary64_13658
16×add-cbrt-cube_binary64_13754 add-exp-log_binary64_13756
13×associate-/l*_binary64_13663
div-inv_binary64_13715
div-exp_binary64_13769 cbrt-undiv_binary64_13752
pow1_binary64_13779
associate-/r*_binary64_13662 prod-exp_binary64_13767 unswap-sqr_binary64_13686 associate-*l*_binary64_13659 cbrt-unprod_binary64_13751
add-log-exp_binary64_13757 cosh-def_binary64_13904
associate-*r/_binary64_13660 frac-2neg_binary64_13729 *-commutative_binary64_13649 frac-times_binary64_13728 associate-*l/_binary64_13661 pow-prod-down_binary64_13789 clear-num_binary64_13717 associate-/l/_binary64_13665
Counts
2 → 137
Calls

2 calls:

16.0ms
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z))
6.0ms
(/.f64 (/.f64 y x) z)

series159.0ms (3.7%)

Counts
2 → 6
Calls

2 calls:

134.0ms
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z))
25.0ms
(/.f64 (/.f64 y x) z)

simplify78.0ms (1.8%)

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
051532401

prune100.0ms (2.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1394143
Fresh347
Picked011
Done000
Total1429151
Error
0.0b
Counts
151 → 9
Compiler

Compiled 2411 to 522 computations (78.3% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
1.3b
(/.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))

rewrite26.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
45×add-exp-log_binary64_13756
19×add-cbrt-cube_binary64_13754
18×div-exp_binary64_13769 cbrt-undiv_binary64_13752
13×prod-exp_binary64_13767 cbrt-unprod_binary64_13751
cbrt-prod_binary64_13749 add-sqr-sqrt_binary64_13740 *-un-lft-identity_binary64_13718 add-cube-cbrt_binary64_13753
times-frac_binary64_13724
associate-/l*_binary64_13663
pow1_binary64_13779 add-log-exp_binary64_13757
pow1/3_binary64_13800 div-inv_binary64_13715
associate-/r*_binary64_13662 frac-2neg_binary64_13729 clear-num_binary64_13717 associate-/l/_binary64_13665
Counts
4 → 75
Calls

4 calls:

15.0ms
(/.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series397.0ms (9.3%)

Counts
4 → 12
Calls

4 calls:

141.0ms
(/.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
86.0ms
(cbrt.f64 x)
86.0ms
(cbrt.f64 x)
85.0ms
(cbrt.f64 x)

simplify58.0ms (1.4%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
052081204

prune88.0ms (2.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New87087
Fresh077
Picked011
Done011
Total87996
Error
0.0b
Counts
96 → 9
Compiler

Compiled 2717 to 572 computations (78.9% saved)

localize7.0ms (0.2%)

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))

rewrite27.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
46×add-exp-log_binary64_13756
28×add-cbrt-cube_binary64_13754
26×associate-*r*_binary64_13658
22×prod-exp_binary64_13767 add-sqr-sqrt_binary64_13740
19×times-frac_binary64_13724
17×*-un-lft-identity_binary64_13718 add-cube-cbrt_binary64_13753
12×cbrt-unprod_binary64_13751
11×div-exp_binary64_13769
pow1_binary64_13779
frac-times_binary64_13728 associate-*l/_binary64_13661 cosh-def_binary64_13904 cbrt-undiv_binary64_13752
associate-*r/_binary64_13660 associate-*l*_binary64_13659 pow-prod-down_binary64_13789
rec-exp_binary64_13768 1-exp_binary64_13762
*-commutative_binary64_13649 add-log-exp_binary64_13757 unswap-sqr_binary64_13686 div-inv_binary64_13715
un-div-inv_binary64_13716
Counts
2 → 84
Calls

2 calls:

13.0ms
(*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
7.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))

series201.0ms (4.7%)

Counts
2 → 6
Calls

2 calls:

125.0ms
(*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
76.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))

simplify81.0ms (1.9%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049721265
149721265

prune58.0ms (1.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh066
Picked011
Done022
Total90999
Error
0.0b
Counts
99 → 9
Compiler

Compiled 1231 to 383 computations (68.9% saved)

regimes454.0ms (10.6%)

Accuracy

Total 0.5b remaining (94.6%)

Threshold costs 0.5b (94.6%)

Compiler

Compiled 3067 to 2073 computations (32.4% saved)

bsearch68.0ms (1.6%)

Steps
ItersRangePoint
8
3.6154836667705305e-63
5.347841857752524e-59
4.377837848436578e-59
9
-8.01563903165826e+35
-6.53197015710544e+30
-1.8407294512025465e+35
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02348
12348

end0.0ms (0%)

sample1.4s (33.1%)

Algorithm
intervals
Results
267.0ms8000×body128valid
239.0ms7182×body128invalid
Compiler

Compiled 634 to 422 computations (33.4% saved)

Profiling

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