Details

Time bar (total: 1.0min)

analyze525.0ms (0.8%)

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)

sample1.8s (2.9%)

Algorithm
intervals
Results
22.0ms462×body128invalid
8.0ms256×body128valid
Compiler

Compiled 6479 to 7916 computations (-22.2% saved)

simplify100.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
0486812
1486812

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
7.2b
Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b
(cosh.f64 x)
0.0b
(*.f64 (cosh.f64 x) (/.f64 y x))
6.8b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite88.0ms (0.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
18×add-sqr-sqrt_binary64_13740
17×add-exp-log_binary64_13756 add-cbrt-cube_binary64_13754
13×add-cube-cbrt_binary64_13753 times-frac_binary64_13724 *-un-lft-identity_binary64_13718 associate-*r*_binary64_13658
pow1_binary64_13779 div-exp_binary64_13769 cbrt-undiv_binary64_13752 cosh-def_binary64_13904
prod-exp_binary64_13767 cbrt-unprod_binary64_13751
add-log-exp_binary64_13757 associate-/l/_binary64_13665 associate-/r*_binary64_13662 associate-*l*_binary64_13659
div-inv_binary64_13715 frac-times_binary64_13728 associate-*l/_binary64_13661 associate-*r/_binary64_13660 unswap-sqr_binary64_13686
frac-2neg_binary64_13729 clear-num_binary64_13717 associate-/l*_binary64_13663 pow-prod-down_binary64_13789 *-commutative_binary64_13649
Counts
3 → 68
Calls

3 calls:

10.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
6.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
1.0ms
(cosh.f64 x)
Compiler

Compiled 990 to 266 computations (73.1% saved)

series821.0ms (1.3%)

Error
0.1b
Counts
3 → 27
Calls

3 calls:

493.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
250.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
50.0ms
(cosh.f64 x)
Compiler

Compiled 1123 to 779 computations (30.6% saved)

simplify59.0ms (0.1%)

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049531360
149531360

prune89.0ms (0.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New87895
Fresh000
Picked101
Done000
Total88896
Error
0.0b
Counts
96 → 8
Compiler

Compiled 1368 to 441 computations (67.8% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b
(cosh.f64 x)
0.0b
(*.f64 (cosh.f64 x) (/.f64 y x))
6.9b
(*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))

rewrite112.0ms (0.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
47×add-exp-log_binary64_13756
29×add-cbrt-cube_binary64_13754
26×associate-*r*_binary64_13658
23×add-sqr-sqrt_binary64_13740
22×prod-exp_binary64_13767
19×times-frac_binary64_13724
18×add-cube-cbrt_binary64_13753 *-un-lft-identity_binary64_13718
12×cbrt-unprod_binary64_13751
11×div-exp_binary64_13769
10×pow1_binary64_13779
cosh-def_binary64_13904
cbrt-undiv_binary64_13752 frac-times_binary64_13728 associate-*l/_binary64_13661
pow-prod-down_binary64_13789 associate-*r/_binary64_13660 associate-*l*_binary64_13659
1-exp_binary64_13762 rec-exp_binary64_13768 add-log-exp_binary64_13757
div-inv_binary64_13715 *-commutative_binary64_13649 unswap-sqr_binary64_13686
un-div-inv_binary64_13716
Counts
3 → 92
Calls

3 calls:

11.0ms
(*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
7.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
1.0ms
(cosh.f64 x)
Compiler

Compiled 1574 to 601 computations (61.8% saved)

series844.0ms (1.4%)

Error
0.0b
Counts
3 → 27
Calls

3 calls:

508.0ms
(*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
256.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
54.0ms
(cosh.f64 x)
Compiler

Compiled 1197 to 853 computations (28.7% saved)

simplify71.0ms (0.1%)

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
050161738

prune103.0ms (0.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1172119
Fresh257
Picked101
Done000
Total1207127
Error
0.0b
Counts
127 → 7
Compiler

Compiled 1778 to 652 computations (63.3% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(cosh.f64 x)
0.0b
(*.f64 (/.f64 y x) (cosh.f64 x))
0.3b
(/.f64 1 (/.f64 z (*.f64 (/.f64 y x) (cosh.f64 x))))
6.8b
(/.f64 z (*.f64 (/.f64 y x) (cosh.f64 x)))

rewrite152.0ms (0.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
55×times-frac_binary64_13724
52×add-exp-log_binary64_13756
38×add-sqr-sqrt_binary64_13740
33×add-cube-cbrt_binary64_13753 *-un-lft-identity_binary64_13718
32×add-cbrt-cube_binary64_13754
25×div-exp_binary64_13769
16×associate-/r/_binary64_13664
13×cbrt-undiv_binary64_13752 cosh-def_binary64_13904 associate-*l*_binary64_13659
11×associate-/r*_binary64_13662
10×prod-exp_binary64_13767
pow1_binary64_13779 div-inv_binary64_13715
cbrt-unprod_binary64_13751 frac-times_binary64_13728 associate-*l/_binary64_13661 associate-*r/_binary64_13660 associate-/l*_binary64_13663
add-log-exp_binary64_13757 1-exp_binary64_13762 rec-exp_binary64_13768
associate-*r*_binary64_13658
frac-2neg_binary64_13729 clear-num_binary64_13717 unswap-sqr_binary64_13686
inv-pow_binary64_13803 pow-flip_binary64_13792 pow-prod-down_binary64_13789 *-commutative_binary64_13649
Counts
4 → 140
Calls

4 calls:

9.0ms
(/.f64 1 (/.f64 z (*.f64 (/.f64 y x) (cosh.f64 x))))
7.0ms
(*.f64 (/.f64 y x) (cosh.f64 x))
6.0ms
(/.f64 z (*.f64 (/.f64 y x) (cosh.f64 x)))
1.0ms
(cosh.f64 x)
Compiler

Compiled 2443 to 829 computations (66.1% saved)

series1.4s (2.2%)

Error
0.0b
Counts
4 → 38
Calls

4 calls:

582.0ms
(/.f64 z (*.f64 (/.f64 y x) (cosh.f64 x)))
476.0ms
(/.f64 1 (/.f64 z (*.f64 (/.f64 y x) (cosh.f64 x))))
240.0ms
(*.f64 (/.f64 y x) (cosh.f64 x))
57.0ms
(cosh.f64 x)
Compiler

Compiled 1777 to 1263 computations (28.9% saved)

simplify81.0ms (0.1%)

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049642911
149642911

prune154.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1762178
Fresh156
Picked011
Done000
Total1778185
Error
0b
Counts
185 → 8
Compiler

Compiled 2733 to 922 computations (66.3% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

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

rewrite97.0ms (0.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
36×times-frac_binary64_13724
26×add-sqr-sqrt_binary64_13740
24×add-cube-cbrt_binary64_13753 *-un-lft-identity_binary64_13718
20×add-exp-log_binary64_13756 add-cbrt-cube_binary64_13754
associate-/l*_binary64_13663
div-exp_binary64_13769 cbrt-undiv_binary64_13752
pow1_binary64_13779 div-inv_binary64_13715 associate-/r*_binary64_13662
add-log-exp_binary64_13757
prod-exp_binary64_13767 cbrt-unprod_binary64_13751 cosh-def_binary64_13904 associate-*l*_binary64_13659 associate-*r*_binary64_13658
frac-2neg_binary64_13729 clear-num_binary64_13717 associate-/l/_binary64_13665 associate-*r/_binary64_13660
pow-prod-down_binary64_13789 unswap-sqr_binary64_13686 *-commutative_binary64_13649
Counts
4 → 97
Calls

4 calls:

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

Compiled 1444 to 372 computations (74.2% saved)

series1.1s (1.8%)

Error
0b
Counts
4 → 39
Calls

4 calls:

467.0ms
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
379.0ms
(/.f64 (*.f64 y (cosh.f64 x)) z)
175.0ms
(*.f64 y (cosh.f64 x))
56.0ms
(cosh.f64 x)
Compiler

Compiled 1640 to 1148 computations (30% saved)

simplify83.0ms (0.1%)

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049712140
149712140

prune104.0ms (0.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1351136
Fresh156
Picked011
Done011
Total1368144
Error
0b
Counts
144 → 8
Compiler

Compiled 1886 to 534 computations (71.7% saved)

regimes881.0ms (1.4%)

Accuracy

Total 0.3b remaining (84.6%)

Threshold costs 0.3b (84.6%)

Compiler

Compiled 5456 to 4025 computations (26.2% saved)

bsearch3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05393
15393

end0.0ms (0%)

sample53.2s (86%)

Algorithm
intervals
Results
676.0ms14192×body128invalid
263.0ms8000×body128valid
Compiler

Compiled 200858 to 244938 computations (-21.9% saved)

Profiling

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