Details

Time bar (total: 1.8s)

analyze2.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
100%0%0%2
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample13.0ms (0.7%)

Algorithm
1×intervals
Results
8.0ms256×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify84.0ms (4.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
0469313
1469313

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite11.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
19×*-un-lft-identity_binary64
15×times-frac_binary64
11×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
5×associate-/r*_binary64
4×distribute-lft-out_binary64 2cosh-undef_binary64
3×add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
2×associate-/r/_binary64
1×flip3-+_binary64 add-log-exp_binary64 pow1_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64
Counts
1 → 37
Calls

1 calls:

8.0ms
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series99.0ms (5.7%)

Counts
1 → 3
Calls

1 calls:

99.0ms
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

simplify94.0ms (5.3%)

Algorithm
1×egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
04882739
14882739

prune70.0ms (4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New36440
Fresh000
Picked011
Done000
Total36541

Merged error: 0b

Counts
41 → 5
Compiler

Compiled 1166 to 608 computations (47.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 1 (cosh.f64 x))

rewrite6.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64
4×add-exp-log_binary64
3×associate-/r*_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
2×pow1_binary64
1×add-log-exp_binary64 cbrt-undiv_binary64 associate-/r/_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 rec-exp_binary64 div-inv_binary64 div-exp_binary64 pow-flip_binary64 cosh-def_binary64
Counts
1 → 31
Calls

1 calls:

4.0ms
(/.f64 1 (cosh.f64 x))

series117.0ms (6.7%)

Counts
1 → 3
Calls

1 calls:

117.0ms
(/.f64 1 (cosh.f64 x))

simplify82.0ms (4.7%)

Algorithm
1×egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
05152348

prune22.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New34034
Fresh033
Picked011
Done011
Total34539

Merged error: 0b

Counts
39 → 5
Compiler

Compiled 351 to 199 computations (43.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 2 (cosh.f64 x))

rewrite6.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64
3×associate-/r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
1×add-log-exp_binary64 pow1_binary64 cbrt-undiv_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 cosh-def_binary64
Counts
1 → 28
Calls

1 calls:

4.0ms
(/.f64 2 (cosh.f64 x))

series126.0ms (7.2%)

Counts
1 → 3
Calls

1 calls:

126.0ms
(/.f64 2 (cosh.f64 x))

simplify81.0ms (4.6%)

Algorithm
1×egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
06237359

prune23.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New31031
Fresh022
Picked011
Done022
Total31536

Merged error: 0b

Counts
36 → 5
Compiler

Compiled 405 to 265 computations (34.6% saved)

localize14.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0b
(cbrt.f64 2)
1.0b
(cbrt.f64 2)
1.0b
(cbrt.f64 2)

rewrite17.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
14×cbrt-prod_binary64
10×*-un-lft-identity_binary64
8×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×add-log-exp_binary64 pow1_binary64 pow1/3_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
2×cbrt-div_binary64
1×flip3-+_binary64 distribute-lft-out_binary64 flip-+_binary64 2cosh-undef_binary64
Counts
4 → 48
Calls

4 calls:

5.0ms
(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms
(cbrt.f64 2)
1.0ms
(cbrt.f64 2)
1.0ms
(cbrt.f64 2)

series227.0ms (12.9%)

Counts
4 → 6
Calls

4 calls:

227.0ms
(cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms
(cbrt.f64 2)
0.0ms
(cbrt.f64 2)
0.0ms
(cbrt.f64 2)

simplify48.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04871619
14871619

prune77.0ms (4.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New54054
Fresh011
Picked011
Done033
Total54559

Merged error: 0b

Counts
59 → 5
Compiler

Compiled 1912 to 728 computations (61.9% saved)

regimes53.0ms (3%)

Compiler

Compiled 401 to 263 computations (34.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
156

end0.0ms (0%)

sample470.0ms (26.7%)

Algorithm
1×intervals
Results
259.0ms8000×body128valid
Compiler

Compiled 92 to 63 computations (31.5% saved)

Profiling

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