Details

Time bar (total: 5.2s)

analyze1.8s (33.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
7.8%92%0.2%8
7.8%92%0.2%9
10.9%88.9%0.2%10
34.7%65.1%0.2%11
43.1%56.7%0.2%12
44.2%55.7%0.2%13
49.5%50.3%0.2%14
Compiler

Compiled 20 to 13 computations (35% saved)

sample115.0ms (2.2%)

Algorithm
intervals
Results
67.0ms250×body128valid
2.0msbody1024valid
1.0ms16×body128invalid
0.0msbody256valid
Compiler

Compiled 43 to 29 computations (32.6% saved)

simplify39.0ms (0.7%)

Algorithm
egg-herbie
Rules
509×fma-neg_binary64
396×distribute-rgt-in_binary64
366×distribute-lft-in_binary64
289×fma-def_binary64
260×associate-*l*_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01323
15521
215321
336221
4131521
5463921
6506721

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
4.3b
Counts
3 → 1
Alt Table
StatusErrorProgram
4.3b
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
Compiler

Compiled 69 to 35 computations (49.3% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.1b
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

series292.0ms (5.6%)

Counts
1 → 48
Calls

1 calls:

291.0ms
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

rewrite1.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

simplify121.0ms (2.3%)

Algorithm
egg-herbie
Rules
959×fma-neg_binary64
407×associate--l+_binary64
387×fma-def_binary64
301×times-frac_binary64
255×associate-/l*_binary64
Counts
58 → 43
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01355009
14234616
214163818
348013764
456503764

prune34.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh000
Picked011
Done000
Total40444
Error
0.0b
Counts
44 → 4
Alt Table
StatusErrorProgram
26.4b
(+.f64 x (*.f64 z (-.f64 t x)))
38.8b
(+.f64 x (*.f64 z (-.f64 (fma.f64 (/.f64 y (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (exp.f64 (/.f64 t y)) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)))) (fma.f64 (/.f64 y (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (exp.f64 (/.f64 x y)) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) 2)))))))
20.7b
x
4.3b
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
Compiler

Compiled 2017 to 706 computations (65% saved)

localize1.0ms (0%)

prune4.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044
Error
0.0b
Counts
4 → 4
Alt Table
StatusErrorProgram
26.4b
(+.f64 x (*.f64 z (-.f64 t x)))
38.8b
(+.f64 x (*.f64 z (-.f64 (fma.f64 (/.f64 y (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (exp.f64 (/.f64 t y)) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)))) (fma.f64 (/.f64 y (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (exp.f64 (/.f64 x y)) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) 2)))))))
20.7b
x
4.3b
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
Compiler

Compiled 171 to 91 computations (46.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (*.f64 z (-.f64 t x)))
0.0b
(*.f64 z (-.f64 t x))

series16.0ms (0.3%)

Counts
2 → 72
Calls

2 calls:

8.0ms
(*.f64 z (-.f64 t x))
7.0ms
(+.f64 x (*.f64 z (-.f64 t x)))

rewrite28.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt_binary64
36×prod-diff_binary64
35×*-un-lft-identity_binary64
33×add-cube-cbrt_binary64
26×associate-+r+_binary64
Counts
2 → 92
Calls

2 calls:

16.0ms
(*.f64 z (-.f64 t x))
5.0ms
(+.f64 x (*.f64 z (-.f64 t x)))

simplify94.0ms (1.8%)

Algorithm
egg-herbie
Rules
721×fma-neg_binary64
644×fma-def_binary64
344×distribute-rgt-in_binary64
306×distribute-lft-in_binary64
290×cancel-sign-sub-inv_binary64
Counts
164 → 139
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01671649
12901433
29661375
329241321
444241321
548581321

prune184.0ms (3.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1390139
Fresh011
Picked011
Done022
Total1394143
Error
0.0b
Counts
143 → 4
Alt Table
StatusErrorProgram
26.4b
(+.f64 x (*.f64 z (-.f64 t x)))
38.8b
(+.f64 x (*.f64 z (-.f64 (fma.f64 (/.f64 y (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (exp.f64 (/.f64 t y)) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)))) (fma.f64 (/.f64 y (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (exp.f64 (/.f64 x y)) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) 2)))))))
20.7b
x
4.3b
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
Compiler

Compiled 2566 to 658 computations (74.4% saved)

localize30.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (neg.f64 (/.f64 x y)))
0.2b
(fma.f64 (/.f64 y (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (exp.f64 (/.f64 t y)) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2))))
0.5b
(fma.f64 (/.f64 y (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (exp.f64 (/.f64 x y)) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) 2))))
2.4b
(-.f64 (fma.f64 (/.f64 y (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (exp.f64 (/.f64 t y)) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)))) (fma.f64 (/.f64 y (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (exp.f64 (/.f64 x y)) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) 2)))))

series758.0ms (14.5%)

Counts
4 → 124
Calls

4 calls:

394.0ms
(-.f64 (fma.f64 (/.f64 y (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (exp.f64 (/.f64 t y)) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)))) (fma.f64 (/.f64 y (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (exp.f64 (/.f64 x y)) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) 2)))))
182.0ms
(fma.f64 (/.f64 y (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (exp.f64 (/.f64 x y)) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) 2))))
176.0ms
(fma.f64 (/.f64 y (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (exp.f64 (/.f64 t y)) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2))))
6.0ms
(exp.f64 (neg.f64 (/.f64 x y)))

rewrite19.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
30×exp-prod_binary64
29×*-un-lft-identity_binary64
29×add-sqr-sqrt_binary64
27×add-cube-cbrt_binary64
18×times-frac_binary64
Counts
4 → 95
Calls

4 calls:

4.0ms
(exp.f64 (neg.f64 (/.f64 x y)))
3.0ms
(-.f64 (fma.f64 (/.f64 y (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (exp.f64 (/.f64 t y)) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)))) (fma.f64 (/.f64 y (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (exp.f64 (/.f64 x y)) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) 2)))))
0.0ms
(fma.f64 (/.f64 y (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (exp.f64 (/.f64 x y)) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) 2))))
0.0ms
(fma.f64 (/.f64 y (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (exp.f64 (/.f64 t y)) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2))))

simplify250.0ms (4.8%)

Algorithm
egg-herbie
Rules
635×fma-neg_binary64
413×distribute-rgt-in_binary64
362×times-frac_binary64
346×cancel-sign-sub-inv_binary64
303×sub-neg_binary64
Counts
219 → 224
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032010957
181410268
225729755
349789753
452899753

prune214.0ms (4.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2240224
Fresh000
Picked011
Done033
Total2244228
Error
0.0b
Counts
228 → 4
Alt Table
StatusErrorProgram
26.4b
(+.f64 x (*.f64 z (-.f64 t x)))
38.8b
(+.f64 x (*.f64 z (-.f64 (fma.f64 (/.f64 y (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (exp.f64 (/.f64 t y)) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 (/.f64 x y)) 2)))) (fma.f64 (/.f64 y (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (exp.f64 (/.f64 x y)) (/.f64 y (+.f64 1 (pow.f64 (exp.f64 (/.f64 t y)) 2)))))))
20.7b
x
4.3b
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
Compiler

Compiled 16720 to 5294 computations (68.3% saved)

regimes217.0ms (4.1%)

Accuracy

Total 0.8b remaining (95.1%)

Threshold costs 0.8b (95.1%)

Counts
22 → 3
Compiler

Compiled 3838 to 2151 computations (44% saved)

bsearch1.0ms (0%)

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02489
13689
24489
34889
45089
55089

end1.0ms (0%)

Compiler

Compiled 62 to 23 computations (62.9% saved)

sample1.0s (20%)

Algorithm
intervals
Results
528.0ms7795×body128valid
42.0ms582×body128invalid
42.0ms46×body256valid
24.0ms82×body1024valid
14.0ms77×body512valid
Compiler

Compiled 183 to 93 computations (49.2% saved)

Profiling

Loading profile data...