Details

Time bar (total: 8.8s)

analyze568.0ms (6.5%)

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)

sample33.0ms (0.4%)

Algorithm
intervals
Results
8.0ms256×body128valid
7.0ms231×body128invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify109.0ms (1.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
0486812
1486812

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
8.3b
Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(cosh.f64 x)
0.0b
(*.f64 (cosh.f64 x) (/.f64 y x))
7.8b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite77.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
18×add-sqr-sqrt_binary64_12717
17×add-exp-log_binary64_12733 add-cbrt-cube_binary64_12731
13×add-cube-cbrt_binary64_12730 times-frac_binary64_12701 *-un-lft-identity_binary64_12695 associate-*r*_binary64_12635
pow1_binary64_12756 div-exp_binary64_12746 cbrt-undiv_binary64_12729 cosh-def_binary64_12881
prod-exp_binary64_12744 cbrt-unprod_binary64_12728
add-log-exp_binary64_12734 associate-/l/_binary64_12642 associate-/r*_binary64_12639 associate-*l*_binary64_12636
div-inv_binary64_12692 frac-times_binary64_12705 associate-*l/_binary64_12638 associate-*r/_binary64_12637 unswap-sqr_binary64_12663
frac-2neg_binary64_12706 clear-num_binary64_12694 associate-/l*_binary64_12640 pow-prod-down_binary64_12766 *-commutative_binary64_12626
Counts
3 → 68
Calls

3 calls:

7.0ms
(*.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)

series613.0ms (7%)

Error
0.1b
Counts
3 → 27
Calls

3 calls:

350.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
187.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
44.0ms
(cosh.f64 x)
Compiler

Compiled 1123 to 779 computations (30.6% saved)

simplify63.0ms (0.7%)

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049531360
149531360

prune90.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New851095
Fresh000
Picked101
Done000
Total861096
Error
0.0b
Counts
96 → 10
Compiler

Compiled 1399 to 455 computations (67.5% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(cosh.f64 x)
0.0b
(*.f64 (cosh.f64 x) (/.f64 y x))
7.9b
(*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))

rewrite121.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
47×add-exp-log_binary64_12733
29×add-cbrt-cube_binary64_12731
26×associate-*r*_binary64_12635
23×add-sqr-sqrt_binary64_12717
22×prod-exp_binary64_12744
19×times-frac_binary64_12701
18×add-cube-cbrt_binary64_12730 *-un-lft-identity_binary64_12695
12×cbrt-unprod_binary64_12728
11×div-exp_binary64_12746
10×pow1_binary64_12756
cosh-def_binary64_12881
cbrt-undiv_binary64_12729 frac-times_binary64_12705 associate-*l/_binary64_12638
pow-prod-down_binary64_12766 associate-*r/_binary64_12637 associate-*l*_binary64_12636
1-exp_binary64_12739 rec-exp_binary64_12745 add-log-exp_binary64_12734
div-inv_binary64_12692 *-commutative_binary64_12626 unswap-sqr_binary64_12663
un-div-inv_binary64_12693
Counts
3 → 92
Calls

3 calls:

15.0ms
(*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
11.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
1.0ms
(cosh.f64 x)
Compiler

Compiled 1574 to 601 computations (61.8% saved)

series658.0ms (7.5%)

Error
0.0b
Counts
3 → 27
Calls

3 calls:

383.0ms
(*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
213.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
42.0ms
(cosh.f64 x)
Compiler

Compiled 1197 to 853 computations (28.7% saved)

simplify104.0ms (1.2%)

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
050161738

prune104.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1163119
Fresh549
Picked011
Done000
Total1218129
Error
0.0b
Counts
129 → 8
Compiler

Compiled 1765 to 653 computations (63% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite90.0ms (1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
36×times-frac_binary64_12701
26×add-sqr-sqrt_binary64_12717
24×add-cube-cbrt_binary64_12730 *-un-lft-identity_binary64_12695
20×add-exp-log_binary64_12733 add-cbrt-cube_binary64_12731
associate-/l*_binary64_12640
div-exp_binary64_12746 cbrt-undiv_binary64_12729
pow1_binary64_12756 div-inv_binary64_12692 associate-/r*_binary64_12639
add-log-exp_binary64_12734
prod-exp_binary64_12744 cbrt-unprod_binary64_12728 cosh-def_binary64_12881 associate-*l*_binary64_12636 associate-*r*_binary64_12635
frac-2neg_binary64_12706 clear-num_binary64_12694 associate-/l/_binary64_12642 associate-*r/_binary64_12637
pow-prod-down_binary64_12766 unswap-sqr_binary64_12663 *-commutative_binary64_12626
Counts
4 → 97
Calls

4 calls:

6.0ms
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
5.0ms
(/.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)

series875.0ms (10%)

Error
0.0b
Counts
4 → 39
Calls

4 calls:

370.0ms
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
280.0ms
(/.f64 (*.f64 y (cosh.f64 x)) z)
135.0ms
(*.f64 y (cosh.f64 x))
49.0ms
(cosh.f64 x)
Compiler

Compiled 1640 to 1148 computations (30% saved)

simplify112.0ms (1.3%)

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
049712140
149712140

prune111.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1333136
Fresh426
Picked101
Done011
Total1386144
Error
0b
Counts
144 → 6
Compiler

Compiled 1932 to 575 computations (70.2% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(cosh.f64 x)
0.0b
(*.f64 (/.f64 y z) (cosh.f64 x))
0.4b
(/.f64 1 (/.f64 x (*.f64 (/.f64 y z) (cosh.f64 x))))
6.7b
(/.f64 x (*.f64 (/.f64 y z) (cosh.f64 x)))

rewrite170.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
55×times-frac_binary64_12701
52×add-exp-log_binary64_12733
38×add-sqr-sqrt_binary64_12717
33×add-cube-cbrt_binary64_12730 *-un-lft-identity_binary64_12695
32×add-cbrt-cube_binary64_12731
25×div-exp_binary64_12746
16×associate-/r/_binary64_12641
13×cbrt-undiv_binary64_12729 cosh-def_binary64_12881 associate-*l*_binary64_12636
11×associate-/r*_binary64_12639
10×prod-exp_binary64_12744
pow1_binary64_12756 div-inv_binary64_12692
cbrt-unprod_binary64_12728 frac-times_binary64_12705 associate-*l/_binary64_12638 associate-*r/_binary64_12637 associate-/l*_binary64_12640
add-log-exp_binary64_12734 1-exp_binary64_12739 rec-exp_binary64_12745
associate-*r*_binary64_12635
frac-2neg_binary64_12706 clear-num_binary64_12694 unswap-sqr_binary64_12663
inv-pow_binary64_12780 pow-flip_binary64_12769 pow-prod-down_binary64_12766 *-commutative_binary64_12626
Counts
4 → 140
Calls

4 calls:

14.0ms
(*.f64 (/.f64 y z) (cosh.f64 x))
10.0ms
(/.f64 1 (/.f64 x (*.f64 (/.f64 y z) (cosh.f64 x))))
9.0ms
(/.f64 x (*.f64 (/.f64 y z) (cosh.f64 x)))
1.0ms
(cosh.f64 x)
Compiler

Compiled 2443 to 828 computations (66.1% saved)

series1.3s (14.7%)

Error
0b
Counts
4 → 42
Calls

4 calls:

505.0ms
(/.f64 x (*.f64 (/.f64 y z) (cosh.f64 x)))
400.0ms
(/.f64 1 (/.f64 x (*.f64 (/.f64 y z) (cosh.f64 x))))
299.0ms
(*.f64 (/.f64 y z) (cosh.f64 x))
50.0ms
(cosh.f64 x)
Compiler

Compiled 1994 to 1414 computations (29.1% saved)

simplify137.0ms (1.6%)

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
049343056
149343056

prune155.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1820182
Fresh044
Picked011
Done011
Total1826188
Error
0b
Counts
188 → 6
Compiler

Compiled 2743 to 891 computations (67.5% saved)

regimes951.0ms (10.8%)

Accuracy

Total 0.3b remaining (94.8%)

Threshold costs 0.3b (94.8%)

Compiler

Compiled 4380 to 3188 computations (27.2% saved)

bsearch2.0ms (0%)

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02660
12660

end0.0ms (0%)

sample2.3s (26.1%)

Algorithm
intervals
Results
313.0ms8000×body128valid
308.0ms7434×body128invalid
Compiler

Compiled 896 to 646 computations (27.9% saved)

Profiling

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