Details

Time bar (total: 4.4s)

analyze348.0ms (7.9%)

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 (0.7%)

Algorithm
intervals
Results
9.0ms256×body128valid
8.0ms227×body128invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify253.0ms (5.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
0533512

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.3b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (cosh.f64 x) (/.f64 y x))
4.9b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite20.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_13241
16×add-exp-log_binary64_13255 add-cbrt-cube_binary64_13253
13×associate-*r*_binary64_13162 times-frac_binary64_13226
12×add-cube-cbrt_binary64_13252 *-un-lft-identity_binary64_13220
cbrt-undiv_binary64_13251 div-exp_binary64_13268
cosh-def_binary64_13403 prod-exp_binary64_13266 pow1_binary64_13278 cbrt-unprod_binary64_13250
associate-/r*_binary64_13166 associate-*l*_binary64_13163 associate-/l/_binary64_13169
frac-times_binary64_13230 unswap-sqr_binary64_13188 div-inv_binary64_13217 associate-*l/_binary64_13165 add-log-exp_binary64_13256 associate-*r/_binary64_13164
clear-num_binary64_13219 pow-prod-down_binary64_13288 frac-2neg_binary64_13231 associate-/l*_binary64_13167 *-commutative_binary64_13153
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)

series410.0ms (9.3%)

Counts
2 → 6
Calls

2 calls:

259.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
150.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))

simplify77.0ms (1.7%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04953887
14953887

prune59.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New58866
Fresh000
Picked101
Done000
Total59867

Merged error: 0.0b

Counts
67 → 8
Compiler

Compiled 934 to 286 computations (69.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (cosh.f64 x) (/.f64 y x))
5.0b
(*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))

rewrite29.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
46×add-exp-log_binary64_13255
28×add-cbrt-cube_binary64_13253
26×associate-*r*_binary64_13162
22×add-sqr-sqrt_binary64_13241 prod-exp_binary64_13266
19×times-frac_binary64_13226
17×add-cube-cbrt_binary64_13252 *-un-lft-identity_binary64_13220
12×cbrt-unprod_binary64_13250
11×div-exp_binary64_13268
pow1_binary64_13278
frac-times_binary64_13230 associate-*l/_binary64_13165 cosh-def_binary64_13403 cbrt-undiv_binary64_13251
associate-*l*_binary64_13163 pow-prod-down_binary64_13288 associate-*r/_binary64_13164
rec-exp_binary64_13267 1-exp_binary64_13261
unswap-sqr_binary64_13188 div-inv_binary64_13217 add-log-exp_binary64_13256 *-commutative_binary64_13153
un-div-inv_binary64_13218
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))

series411.0ms (9.3%)

Counts
2 → 6
Calls

2 calls:

260.0ms
(*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
150.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))

simplify80.0ms (1.8%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049991265
149991265

prune64.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New88290
Fresh347
Picked011
Done000
Total91798

Merged error: 0.0b

Counts
98 → 7
Compiler

Compiled 1288 to 430 computations (66.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (cosh.f64 x) y)
0.3b
(*.f64 (*.f64 (cosh.f64 x) y) (/.f64 1 x))
4.9b
(/.f64 (*.f64 (*.f64 (cosh.f64 x) y) (/.f64 1 x)) z)

rewrite31.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
59×add-exp-log_binary64_13255
35×add-cbrt-cube_binary64_13253
25×prod-exp_binary64_13266
17×div-exp_binary64_13268
16×associate-*r*_binary64_13162 add-sqr-sqrt_binary64_13241
14×add-cube-cbrt_binary64_13252 *-un-lft-identity_binary64_13220
13×cbrt-unprod_binary64_13250
12×times-frac_binary64_13226
10×pow1_binary64_13278
cbrt-undiv_binary64_13251
associate-*l/_binary64_13165
cosh-def_binary64_13403
associate-*l*_binary64_13163 rec-exp_binary64_13267 associate-/l/_binary64_13169 pow-prod-down_binary64_13288 1-exp_binary64_13261
associate-/r*_binary64_13166 add-log-exp_binary64_13256
frac-times_binary64_13230 div-inv_binary64_13217 associate-*r/_binary64_13164 un-div-inv_binary64_13218 *-commutative_binary64_13153
clear-num_binary64_13219 unswap-sqr_binary64_13188 frac-2neg_binary64_13231 associate-/l*_binary64_13167
Counts
3 → 94
Calls

3 calls:

10.0ms
(/.f64 (*.f64 (*.f64 (cosh.f64 x) y) (/.f64 1 x)) z)
9.0ms
(*.f64 (*.f64 (cosh.f64 x) y) (/.f64 1 x))
4.0ms
(*.f64 (cosh.f64 x) y)

series523.0ms (11.8%)

Counts
3 → 9
Calls

3 calls:

253.0ms
(/.f64 (*.f64 (*.f64 (cosh.f64 x) y) (/.f64 1 x)) z)
149.0ms
(*.f64 (*.f64 (cosh.f64 x) y) (/.f64 1 x))
120.0ms
(*.f64 (cosh.f64 x) y)

simplify65.0ms (1.5%)

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049681262
149681262

prune66.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh235
Picked011
Done011
Total1046110

Merged error: 0.0b

Counts
110 → 6
Compiler

Compiled 1352 to 457 computations (66.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.5b
(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))
4.9b
(/.f64 z (/.f64 y x))

rewrite59.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
471×times-frac_binary64_13226
229×add-sqr-sqrt_binary64_13241 add-cube-cbrt_binary64_13252 *-un-lft-identity_binary64_13220
57×associate-/r*_binary64_13166
22×div-inv_binary64_13217
16×add-exp-log_binary64_13255 add-cbrt-cube_binary64_13253
cbrt-undiv_binary64_13251 div-exp_binary64_13268
associate-/r/_binary64_13168 associate-/l*_binary64_13167
clear-num_binary64_13219 pow1_binary64_13278 add-log-exp_binary64_13256 frac-2neg_binary64_13231
cosh-def_binary64_13403 associate-/l/_binary64_13169
Counts
2 → 267
Calls

2 calls:

14.0ms
(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))
9.0ms
(/.f64 z (/.f64 y x))

series351.0ms (7.9%)

Counts
2 → 6
Calls

2 calls:

304.0ms
(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))
46.0ms
(/.f64 z (/.f64 y x))

simplify122.0ms (2.8%)

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049836874
149836874

prune182.0ms (4.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2721273
Fresh033
Picked011
Done022
Total2727279

Merged error: 0b

Counts
279 → 7
Compiler

Compiled 5153 to 773 computations (85% saved)

regimes107.0ms (2.4%)

Compiler

Compiled 266 to 250 computations (6% saved)

bsearch56.0ms (1.3%)

Steps
ItersRangePoint
7
2.827141669504184e+19
7.614635943550124e+20
2.998544093326645e+19
11
-102021541.2747123
-5.841404453840011e-16
-0.00022260243656131037
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02751
12751

end0.0ms (0%)

sample1.1s (23.8%)

Algorithm
intervals
Results
280.0ms8000×body128valid
259.0ms7184×body128invalid
Compiler

Compiled 137 to 102 computations (25.5% saved)

Profiling

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