Details

Time bar (total: 4.4s)

analyze324.0ms (7.3%)

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)

sample31.0ms (0.7%)

Algorithm
intervals
Results
8.0ms256×body128valid
8.0ms223×body128invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify259.0ms (5.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
0533512

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.5b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize10.0ms (0.2%)

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)

rewrite19.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_12829
16×add-cbrt-cube_binary64_12843 add-exp-log_binary64_12845
13×times-frac_binary64_12813 associate-*r*_binary64_12747
12×*-un-lft-identity_binary64_12807 add-cube-cbrt_binary64_12842
div-exp_binary64_12858 cbrt-undiv_binary64_12841
prod-exp_binary64_12856 cbrt-unprod_binary64_12840 cosh-def_binary64_12993 pow1_binary64_12868
associate-*l*_binary64_12748 associate-/l/_binary64_12754 associate-/r*_binary64_12751
div-inv_binary64_12804 associate-*r/_binary64_12749 associate-*l/_binary64_12750 add-log-exp_binary64_12846 frac-times_binary64_12817 unswap-sqr_binary64_12775
pow-prod-down_binary64_12878 *-commutative_binary64_12738 clear-num_binary64_12806 associate-/l*_binary64_12752 frac-2neg_binary64_12818
Counts
2 → 60
Calls

2 calls:

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

series405.0ms (9.1%)

Counts
2 → 6
Calls

2 calls:

256.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
149.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))

simplify79.0ms (1.8%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04953887
14953887

prune171.0ms (3.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New59766
Fresh000
Picked011
Done000
Total59867

Merged error: 0.0b

Counts
67 → 8
Compiler

Compiled 2884 to 1559 computations (45.9% 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))

rewrite28.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
46×add-exp-log_binary64_12845
28×add-cbrt-cube_binary64_12843
26×associate-*r*_binary64_12747
22×prod-exp_binary64_12856 add-sqr-sqrt_binary64_12829
19×times-frac_binary64_12813
17×*-un-lft-identity_binary64_12807 add-cube-cbrt_binary64_12842
12×cbrt-unprod_binary64_12840
11×div-exp_binary64_12858
pow1_binary64_12868
cosh-def_binary64_12993 associate-*l/_binary64_12750 cbrt-undiv_binary64_12841 frac-times_binary64_12817
pow-prod-down_binary64_12878 associate-*l*_binary64_12748 associate-*r/_binary64_12749
rec-exp_binary64_12857 1-exp_binary64_12851
*-commutative_binary64_12738 div-inv_binary64_12804 add-log-exp_binary64_12846 unswap-sqr_binary64_12775
un-div-inv_binary64_12805
Counts
2 → 84
Calls

2 calls:

12.0ms
(*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
8.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))

series416.0ms (9.4%)

Counts
2 → 6
Calls

2 calls:

257.0ms
(*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
159.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))

simplify78.0ms (1.8%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
050061265

prune106.0ms (2.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New88290
Fresh066
Picked011
Done011
Total881098

Merged error: 0.0b

Counts
98 → 10
Compiler

Compiled 1928 to 913 computations (52.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.4b
(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))
6.2b
(/.f64 z (/.f64 y x))

rewrite59.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
471×times-frac_binary64_12813
229×*-un-lft-identity_binary64_12807 add-sqr-sqrt_binary64_12829 add-cube-cbrt_binary64_12842
57×associate-/r*_binary64_12751
22×div-inv_binary64_12804
16×add-cbrt-cube_binary64_12843 add-exp-log_binary64_12845
div-exp_binary64_12858 cbrt-undiv_binary64_12841
associate-/r/_binary64_12753 associate-/l*_binary64_12752
pow1_binary64_12868 clear-num_binary64_12806 add-log-exp_binary64_12846 frac-2neg_binary64_12818
cosh-def_binary64_12993 associate-/l/_binary64_12754
Counts
2 → 267
Calls

2 calls:

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

series340.0ms (7.6%)

Counts
2 → 6
Calls

2 calls:

296.0ms
(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))
44.0ms
(/.f64 z (/.f64 y x))

simplify121.0ms (2.7%)

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049906874
149906874

prune292.0ms (6.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2694273
Fresh527
Picked101
Done022
Total2758283

Merged error: 0b

Counts
283 → 8
Compiler

Compiled 6708 to 1979 computations (70.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.4b
(/.f64 (cosh.f64 x) (*.f64 z (/.f64 x y)))
5.8b
(*.f64 z (/.f64 x y))

rewrite19.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_12829
16×add-cbrt-cube_binary64_12843 add-exp-log_binary64_12845
13×times-frac_binary64_12813 associate-*r*_binary64_12747
12×*-un-lft-identity_binary64_12807 add-cube-cbrt_binary64_12842
div-exp_binary64_12858 cbrt-undiv_binary64_12841
prod-exp_binary64_12856 cbrt-unprod_binary64_12840 pow1_binary64_12868
associate-/l*_binary64_12752 associate-*l*_binary64_12748
div-inv_binary64_12804 associate-*r/_binary64_12749 add-log-exp_binary64_12846 unswap-sqr_binary64_12775
pow-prod-down_binary64_12878 associate-/r/_binary64_12753 cosh-def_binary64_12993 *-commutative_binary64_12738 clear-num_binary64_12806 associate-/l/_binary64_12754 associate-/r*_binary64_12751 frac-2neg_binary64_12818
Counts
2 → 57
Calls

2 calls:

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

series336.0ms (7.6%)

Counts
2 → 6
Calls

2 calls:

297.0ms
(/.f64 (cosh.f64 x) (*.f64 z (/.f64 x y)))
39.0ms
(*.f64 z (/.f64 x y))

simplify73.0ms (1.6%)

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
05062769

prune37.0ms (0.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New63063
Fresh055
Picked011
Done022
Total63871

Merged error: 0b

Counts
71 → 8
Compiler

Compiled 787 to 192 computations (75.6% saved)

regimes140.0ms (3.2%)

Compiler

Compiled 429 to 377 computations (12.1% saved)

bsearch46.0ms (1%)

Steps
ItersRangePoint
8
1.5224217446416705e-42
2.3078150058084226e-39
2.15700900459188e-39
6
-1.7310837410767245e+87
-1.2753782187864486e+86
-1.6001095201590717e+86
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02448
12448

end0.0ms (0%)

sample1.0s (23.3%)

Algorithm
intervals
Results
270.0ms8000×body128valid
256.0ms7407×body128invalid
Compiler

Compiled 146 to 106 computations (27.4% saved)

Profiling

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