Details

Time bar (total: 3.3s)

analyze14.0ms (0.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%1.6%48.5%9
50.4%1.2%48.5%10
50.4%1.2%48.5%11
50.4%1.1%48.6%12
50.4%1%48.6%13
50.5%0.9%48.6%14
Compiler

Compiled 14 to 8 computations (42.9% saved)

sample248.0ms (7.5%)

Algorithm
intervals
Results
220.0ms111×body1280valid
16.0ms76×body640valid
4.0ms34×body320valid
2.0ms22×body160valid
1.0ms13×body80valid
Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify113.0ms (3.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (98.0ms)

IterNodesCost
0497322
1497322

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.0b

Counts
2 → 1
Compiler

Compiled 26 to 14 computations (46.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.2b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.1b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite23.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity_binary64
30×times-frac_binary64
29×add-sqr-sqrt_binary64
15×add-cube-cbrt_binary64
distribute-lft-out_binary64 sinh-undef_binary64 cosh-undef_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
associate-/l*_binary64
associate-/r*_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l/_binary64 pow1_binary64 flip3--_binary64 associate-/r/_binary64 insert-posit16 flip--_binary64
flip3-+_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 tanh-undef_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64
Counts
2 → 75
Calls

2 calls:

14.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series171.0ms (5.2%)

Counts
2 → 6
Calls

2 calls:

128.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
42.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify79.0ms (2.4%)

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
050461681

prune66.0ms (2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New79281
Fresh000
Picked101
Done000
Total80282

Merged error: 0b

Counts
82 → 2
Compiler

Compiled 1392 to 429 computations (69.2% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(tanh.f64 x)

rewrite2.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 tanh-def-a_binary64 tanh-def-b_binary64 insert-posit16 tanh-def-c_binary64
Counts
1 → 11
Calls

1 calls:

1.0ms
(tanh.f64 x)

series83.0ms (2.5%)

Counts
1 → 3
Calls

1 calls:

82.0ms
(tanh.f64 x)

simplify91.0ms (2.8%)

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
05368129

prune9.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14014
Fresh011
Picked011
Done000
Total14216

Merged error: 0b

Counts
16 → 2
Compiler

Compiled 104 to 58 computations (44.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(sinh.f64 x)
1.2b
(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite7.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64 associate-/l*_binary64
add-log-exp_binary64 pow1_binary64 sinh-def_binary64 insert-posit16
associate-/l/_binary64 cbrt-undiv_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 cosh-def_binary64
Counts
2 → 39
Calls

2 calls:

5.0ms
(/.f64 (sinh.f64 x) (cosh.f64 x))
1.0ms
(sinh.f64 x)

series259.0ms (7.9%)

Counts
2 → 6
Calls

2 calls:

188.0ms
(/.f64 (sinh.f64 x) (cosh.f64 x))
70.0ms
(sinh.f64 x)

simplify120.0ms (3.6%)

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (100.0ms)

IterNodesCost
04888552
14888552

prune26.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New45045
Fresh000
Picked011
Done011
Total45247

Merged error: 0b

Counts
47 → 2
Compiler

Compiled 460 to 145 computations (68.5% saved)

regimes7.0ms (0.2%)

Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
033
133

end0.0ms (0%)

sample2.0s (59.4%)

Algorithm
intervals
Results
1.1s3312×body1280valid
498.0ms2471×body640valid
156.0ms1212×body320valid
48.0ms607×body160valid
17.0ms398×body80valid
Compiler

Compiled 23 to 17 computations (26.1% saved)

Profiling

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