Details

Time bar (total: 6.8s)

analyze643.0ms (9.5%)

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)

sample52.0ms (0.8%)

Algorithm
intervals
Results
16.0ms256×body128valid
14.0ms227×body128invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify327.0ms (4.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (166.0ms)

IterNodesCost
0486812
1486812

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.8b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (cosh.f64 x) (/.f64 y x))
7.3b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite36.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_12717
16×add-exp-log_binary64_12733 add-cbrt-cube_binary64_12731
13×associate-*r*_binary64_12635 times-frac_binary64_12701
12×*-un-lft-identity_binary64_12695 add-cube-cbrt_binary64_12730
div-exp_binary64_12746 cbrt-undiv_binary64_12729
prod-exp_binary64_12744 cosh-def_binary64_12881 cbrt-unprod_binary64_12728 pow1_binary64_12756
associate-*l*_binary64_12636 associate-/l/_binary64_12642 associate-/r*_binary64_12639
frac-times_binary64_12705 div-inv_binary64_12692 associate-*l/_binary64_12638 unswap-sqr_binary64_12663 add-log-exp_binary64_12734 associate-*r/_binary64_12637
associate-/l*_binary64_12640 frac-2neg_binary64_12706 pow-prod-down_binary64_12766 *-commutative_binary64_12626 clear-num_binary64_12694
Counts
2 → 60
Calls

2 calls:

16.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
13.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

series355.0ms (5.2%)

Counts
2 → 6
Calls

2 calls:

232.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
122.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))

simplify137.0ms (2%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (112.0ms)

IterNodesCost
05024887

prune105.0ms (1.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New60666
Fresh000
Picked101
Done000
Total61667

Merged error: 0.0b

Counts
67 → 6
Compiler

Compiled 922 to 270 computations (70.7% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite26.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
16×add-exp-log_binary64_12733 add-cbrt-cube_binary64_12731
add-sqr-sqrt_binary64_12717
prod-exp_binary64_12744 cbrt-unprod_binary64_12728
div-exp_binary64_12746 *-un-lft-identity_binary64_12695 cbrt-undiv_binary64_12729 add-cube-cbrt_binary64_12730 pow1_binary64_12756
associate-*l*_binary64_12636 associate-*r*_binary64_12635
associate-*l/_binary64_12638 cosh-def_binary64_12881 add-log-exp_binary64_12734
associate-/l*_binary64_12640 associate-/l/_binary64_12642 frac-2neg_binary64_12706 div-inv_binary64_12692 pow-prod-down_binary64_12766 *-commutative_binary64_12626 unswap-sqr_binary64_12663 associate-/r*_binary64_12639 clear-num_binary64_12694 times-frac_binary64_12701
Counts
2 → 41
Calls

2 calls:

12.0ms
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z))
9.0ms
(*.f64 (cosh.f64 x) y)

series345.0ms (5.1%)

Counts
2 → 6
Calls

2 calls:

246.0ms
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z))
99.0ms
(*.f64 (cosh.f64 x) y)

simplify116.0ms (1.7%)

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
05030574

prune65.0ms (1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New43447
Fresh145
Picked011
Done000
Total44953

Merged error: 0.0b

Counts
53 → 9
Compiler

Compiled 660 to 213 computations (67.7% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (cosh.f64 x) y)
0.2b
(/.f64 1 (*.f64 x z))
6.3b
(*.f64 (*.f64 (cosh.f64 x) y) (/.f64 1 (*.f64 x z)))

rewrite47.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
61×add-exp-log_binary64_12733
31×prod-exp_binary64_12744 add-cbrt-cube_binary64_12731
13×cbrt-unprod_binary64_12728 pow1_binary64_12756
12×div-exp_binary64_12746
11×add-sqr-sqrt_binary64_12717
10×associate-*r*_binary64_12635
*-un-lft-identity_binary64_12695 add-cube-cbrt_binary64_12730
rec-exp_binary64_12745 cbrt-undiv_binary64_12729 1-exp_binary64_12739 times-frac_binary64_12701
pow-prod-down_binary64_12766
associate-*l*_binary64_12636 associate-*l/_binary64_12638
associate-/l*_binary64_12640 cosh-def_binary64_12881 add-log-exp_binary64_12734
pow-flip_binary64_12769 div-inv_binary64_12692 *-commutative_binary64_12626
un-div-inv_binary64_12693 frac-times_binary64_12705 frac-2neg_binary64_12706 unswap-sqr_binary64_12663 associate-/r*_binary64_12639 clear-num_binary64_12694 inv-pow_binary64_12780 associate-*r/_binary64_12637
Counts
3 → 89
Calls

3 calls:

17.0ms
(*.f64 (*.f64 (cosh.f64 x) y) (/.f64 1 (*.f64 x z)))
8.0ms
(/.f64 1 (*.f64 x z))
7.0ms
(*.f64 (cosh.f64 x) y)

series386.0ms (5.7%)

Counts
3 → 9
Calls

3 calls:

234.0ms
(*.f64 (*.f64 (cosh.f64 x) y) (/.f64 1 (*.f64 x z)))
129.0ms
(*.f64 (cosh.f64 x) y)
23.0ms
(/.f64 1 (*.f64 x z))

simplify125.0ms (1.9%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
050101065

prune127.0ms (1.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New97198
Fresh077
Picked011
Done011
Total9710107

Merged error: 0b

Counts
107 → 10
Compiler

Compiled 1325 to 445 computations (66.4% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite41.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt_binary64_12717
31×times-frac_binary64_12701
24×*-un-lft-identity_binary64_12695 add-cube-cbrt_binary64_12730
16×add-exp-log_binary64_12733 add-cbrt-cube_binary64_12731
13×associate-*l*_binary64_12636 associate-*r*_binary64_12635
div-exp_binary64_12746 cbrt-undiv_binary64_12729
prod-exp_binary64_12744 unswap-sqr_binary64_12663 cbrt-unprod_binary64_12728 pow1_binary64_12756
associate-/l*_binary64_12640 div-inv_binary64_12692 associate-/r*_binary64_12639
add-log-exp_binary64_12734
frac-times_binary64_12705 associate-/l/_binary64_12642 frac-2neg_binary64_12706 pow-prod-down_binary64_12766 *-commutative_binary64_12626 associate-*l/_binary64_12638 cosh-def_binary64_12881 clear-num_binary64_12694 associate-*r/_binary64_12637
Counts
2 → 78
Calls

2 calls:

23.0ms
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
7.0ms
(/.f64 (cosh.f64 x) x)

series302.0ms (4.5%)

Counts
2 → 6
Calls

2 calls:

220.0ms
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
81.0ms
(/.f64 (cosh.f64 x) x)

simplify160.0ms (2.4%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (131.0ms)

IterNodesCost
049541232
149541232

prune96.0ms (1.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New82284
Fresh347
Picked011
Done112
Total86894

Merged error: 0b

Counts
94 → 8
Compiler

Compiled 1185 to 263 computations (77.8% saved)

regimes766.0ms (11.3%)

Compiler

Compiled 2266 to 1520 computations (32.9% saved)

bsearch3.0ms (0%)

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02860
12860

end0.0ms (0%)

sample2.4s (36.1%)

Algorithm
intervals
Results
511.0ms8000×body128valid
465.0ms7315×body128invalid
Compiler

Compiled 485 to 317 computations (34.6% saved)

Profiling

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