Details

Time bar (total: 3.2s)

analyze336.0ms (10.5%)

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)

sample30.0ms (0.9%)

Algorithm
intervals
Results
9.0ms267×body80invalid
8.0ms256×body80valid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify147.0ms (4.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (131.0ms)

IterNodesCost
0505912

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.7b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (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)

rewrite19.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
13×associate-*r*_binary64 times-frac_binary64
12×*-un-lft-identity_binary64 add-cube-cbrt_binary64
cbrt-undiv_binary64 div-exp_binary64
pow1_binary64 cbrt-unprod_binary64 prod-exp_binary64 cosh-def_binary64
associate-/l/_binary64 associate-/r*_binary64 associate-*l*_binary64
add-log-exp_binary64 associate-*r/_binary64 unswap-sqr_binary64 div-inv_binary64 frac-times_binary64 associate-*l/_binary64
pow-prod-down_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 *-commutative_binary64
Counts
2 → 60
Calls

2 calls:

10.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
7.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

series48.0ms (1.5%)

Counts
2 → 6
Calls

2 calls:

31.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
17.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))

simplify99.0ms (3.1%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
05016887

prune60.0ms (1.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New58866
Fresh000
Picked011
Done000
Total58967

Merged error: 0.0b

Counts
67 → 9
Compiler

Compiled 955 to 286 computations (70.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (cosh.f64 x) (/.f64 y x))
7.4b
(*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))

rewrite22.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
46×add-exp-log_binary64
28×add-cbrt-cube_binary64
26×associate-*r*_binary64
22×prod-exp_binary64 add-sqr-sqrt_binary64
19×times-frac_binary64
17×*-un-lft-identity_binary64 add-cube-cbrt_binary64
12×cbrt-unprod_binary64
11×div-exp_binary64
pow1_binary64
cbrt-undiv_binary64 frac-times_binary64 cosh-def_binary64 associate-*l/_binary64
pow-prod-down_binary64 associate-*r/_binary64 associate-*l*_binary64
1-exp_binary64 rec-exp_binary64
add-log-exp_binary64 unswap-sqr_binary64 div-inv_binary64 *-commutative_binary64
un-div-inv_binary64
Counts
2 → 84
Calls

2 calls:

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

series46.0ms (1.5%)

Counts
2 → 6
Calls

2 calls:

29.0ms
(*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
18.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))

simplify89.0ms (2.8%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049961265
149961265

prune58.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New88290
Fresh347
Picked101
Done011
Total92799

Merged error: 0.0b

Counts
99 → 7
Compiler

Compiled 1298 to 433 computations (66.6% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (*.f64 (cosh.f64 x) y) z)
0.0b
(*.f64 (cosh.f64 x) y)
5.9b
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x)

rewrite20.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
36×times-frac_binary64
25×add-sqr-sqrt_binary64
23×*-un-lft-identity_binary64 add-cube-cbrt_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64
cbrt-undiv_binary64 div-exp_binary64
associate-/r*_binary64 div-inv_binary64
pow1_binary64
add-log-exp_binary64 cbrt-unprod_binary64 associate-*r*_binary64 associate-*l*_binary64 prod-exp_binary64
associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64 cosh-def_binary64 associate-*l/_binary64
pow-prod-down_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
3 → 89
Calls

3 calls:

7.0ms
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x)
5.0ms
(/.f64 (*.f64 (cosh.f64 x) y) z)
4.0ms
(*.f64 (cosh.f64 x) y)

series71.0ms (2.2%)

Counts
3 → 9
Calls

3 calls:

31.0ms
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x)
23.0ms
(/.f64 (*.f64 (cosh.f64 x) y) z)
17.0ms
(*.f64 (cosh.f64 x) y)

simplify93.0ms (2.9%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
049811470
149811470

prune55.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New94498
Fresh325
Picked101
Done011
Total987105

Merged error: 0.0b

Counts
105 → 7
Compiler

Compiled 1382 to 371 computations (73.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.6b
(/.f64 (cosh.f64 x) (/.f64 z y))
5.9b
(/.f64 (/.f64 (cosh.f64 x) (/.f64 z y)) x)

rewrite40.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
471×times-frac_binary64
229×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
47×associate-/l*_binary64
22×div-inv_binary64
16×associate-/r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
cbrt-undiv_binary64 div-exp_binary64
associate-/r/_binary64
associate-/l/_binary64 add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64
cosh-def_binary64
Counts
2 → 267
Calls

2 calls:

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

series62.0ms (1.9%)

Counts
2 → 6
Calls

2 calls:

32.0ms
(/.f64 (/.f64 (cosh.f64 x) (/.f64 z y)) x)
29.0ms
(/.f64 (cosh.f64 x) (/.f64 z y))

simplify140.0ms (4.4%)

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
049787063
149787063

prune113.0ms (3.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2712273
Fresh235
Picked011
Done011
Total2737280

Merged error: 0b

Counts
280 → 7
Compiler

Compiled 5328 to 855 computations (84% saved)

regimes259.0ms (8.1%)

Compiler

Compiled 444 to 344 computations (22.5% saved)

bsearch1.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02464
12464

end0.0ms (0%)

sample1.4s (42.3%)

Algorithm
intervals
Results
262.0ms8000×body80valid
240.0ms7384×body80invalid
Compiler

Compiled 165 to 106 computations (35.8% saved)

Profiling

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