Details

Time bar (total: 4.4s)

analyze146.0ms (3.3%)

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
0%50%50%4
0%50%50%5
12.5%37.5%50%6
18.7%31.2%50%7
28.1%21.9%50%8
32.8%17.2%50%9
38.2%11.7%50%10
41%9%50%11
43.9%6%50%12
45.4%4.6%50%13
46.9%3.1%50%14
Compiler

Compiled 31 to 22 computations (29% saved)

sample1.2s (28.5%)

Results
1.2s8256×body128valid
1.0ms10×body128invalid
Compiler

Compiled 92 to 65 computations (29.3% saved)

simplify14.0ms (0.3%)

Algorithm
egg-herbie
Rules
826×times-frac_binary64
467×associate-/r*_binary64
351×associate-/l*_binary64
245×associate-*l*_binary64
222×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02043
15843
219038
394936
Stop Event
node limit
Counts
1 → 2

prune8.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.2b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.4b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
0.4b
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v)))
Compiler

Compiled 166 to 113 computations (31.9% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
0.0b
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v)))
0.2b
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
0.3b
(/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))

series226.0ms (5.2%)

Counts
4 → 84
Calls

4 calls:

114.0ms
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v)))
81.0ms
(/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))
24.0ms
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
6.0ms
(*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))

rewrite46.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
187×add-sqr-sqrt_binary64
178×log1p-expm1-u_binary64
178×expm1-log1p-u_binary64
176×add-cbrt-cube_binary64
175×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01894
138794
Stop Event
node limit
Counts
4 → 115
Calls

4 calls:

43.0ms
(*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
43.0ms
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v)))
43.0ms
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
43.0ms
(/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))

simplify70.0ms (1.6%)

Algorithm
egg-herbie
Rules
345×associate-/r*_binary64
307×fma-def_binary64
219×associate-*r*_binary64
202×associate-+r+_binary64
191×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03554369
113744312
Stop Event
node limit
Counts
199 → 215

prune232.0ms (5.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2096215
Fresh101
Picked101
Done000
Total2116217
Error
0.0b
Counts
217 → 6
Alt Table
StatusErrorProgram
0.3b
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -6 2) (pow.f64 (PI.f64) 2))))) (-.f64 1 (*.f64 v v)))
0.4b
(/.f64 (*.f64 (fma.f64 v (*.f64 v -5) 1) (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) (-.f64 1 (*.f64 v v)))
0.7b
(/.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (PI.f64) t)) (sqrt.f64 (/.f64 1 (-.f64 2 (*.f64 6 (pow.f64 v 2)))))) (-.f64 1 (*.f64 v v)))
0.4b
(/.f64 (*.f64 (/.f64 1 (*.f64 t (PI.f64))) (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) (-.f64 1 (*.f64 v v)))
0.3b
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v)))
1.0b
(+.f64 (fma.f64 3/4 (*.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (*.f64 (PI.f64) t))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))) (*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 v (/.f64 (PI.f64) v))) -4))
Compiler

Compiled 9092 to 6072 computations (33.2% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
0.0b
(/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
0.0b
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v)))
0.3b
(*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))

series199.0ms (4.5%)

Counts
3 → 60
Calls

3 calls:

112.0ms
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v)))
74.0ms
(*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))
12.0ms
(/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))

rewrite40.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
203×add-sqr-sqrt_binary64
193×log1p-expm1-u_binary64
193×expm1-log1p-u_binary64
191×add-cbrt-cube_binary64
190×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01980
141980
Stop Event
node limit
Counts
3 → 102
Calls

3 calls:

37.0ms
(/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
37.0ms
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v)))
37.0ms
(*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))

simplify81.0ms (1.8%)

Algorithm
egg-herbie
Rules
352×associate-/r*_binary64
304×fma-def_binary64
239×fma-neg_binary64
230×associate-+r+_binary64
216×+-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03483925
112913853
247643853
Stop Event
node limit
Counts
162 → 175

prune234.0ms (5.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2094213
Fresh415
Picked101
Done000
Total2145219
Error
0b
Counts
219 → 5
Alt Table
StatusErrorProgram
0.2b
(/.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) t) (-.f64 1 (*.f64 v v)))
1.6b
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 (sqrt.f64 1/2) (PI.f64))) (-.f64 1 (*.f64 v v)))
0.4b
(pow.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) (/.f64 (-.f64 1 (*.f64 v v)) (/.f64 (fma.f64 v (*.f64 v -5) 1) t))) -1)
0.3b
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -6 2) (pow.f64 (PI.f64) 2))))) (-.f64 1 (*.f64 v v)))
0.3b
(*.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) 1) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) (-.f64 1 (*.f64 v v))))
Compiler

Compiled 9100 to 6191 computations (32% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
0.0b
(*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
0.0b
(/.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) t) (-.f64 1 (*.f64 v v)))
0.1b
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) t)

series222.0ms (5.1%)

Counts
3 → 60
Calls

3 calls:

119.0ms
(/.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) t) (-.f64 1 (*.f64 v v)))
74.0ms
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) t)
29.0ms
(/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))

rewrite47.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
191×add-sqr-sqrt_binary64
182×log1p-expm1-u_binary64
182×expm1-log1p-u_binary64
180×add-cbrt-cube_binary64
179×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01887
139387
Stop Event
node limit
Counts
3 → 120
Calls

3 calls:

44.0ms
(/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
44.0ms
(/.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) t) (-.f64 1 (*.f64 v v)))
44.0ms
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) t)

simplify80.0ms (1.8%)

Algorithm
egg-herbie
Rules
351×associate-/r*_binary64
306×fma-def_binary64
255×fma-neg_binary64
243×associate-+r+_binary64
228×+-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03514051
113193977
248323977
Stop Event
node limit
Counts
180 → 193

prune264.0ms (6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2310231
Fresh044
Picked011
Done000
Total2315236
Error
0b
Counts
236 → 5
Alt Table
StatusErrorProgram
0.2b
(/.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) t) (-.f64 1 (*.f64 v v)))
1.6b
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 (sqrt.f64 1/2) (PI.f64))) (-.f64 1 (*.f64 v v)))
0.4b
(pow.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) (/.f64 (-.f64 1 (*.f64 v v)) (/.f64 (fma.f64 v (*.f64 v -5) 1) t))) -1)
0.3b
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -6 2) (pow.f64 (PI.f64) 2))))) (-.f64 1 (*.f64 v v)))
0.3b
(*.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) 1) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) (-.f64 1 (*.f64 v v))))
Compiler

Compiled 9922 to 6732 computations (32.2% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) (-.f64 1 (*.f64 v v)))
0.0b
(/.f64 (fma.f64 v (*.f64 v -5) 1) t)
0.0b
(/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
0.3b
(*.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) 1) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) (-.f64 1 (*.f64 v v))))

series188.0ms (4.3%)

Counts
4 → 72
Calls

4 calls:

144.0ms
(*.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) 1) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) (-.f64 1 (*.f64 v v))))
18.0ms
(/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) (-.f64 1 (*.f64 v v)))
14.0ms
(/.f64 (fma.f64 v (*.f64 v -5) 1) t)
11.0ms
(/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))

rewrite53.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
207×add-sqr-sqrt_binary64
197×log1p-expm1-u_binary64
197×expm1-log1p-u_binary64
195×add-cbrt-cube_binary64
194×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02093
145090
Stop Event
node limit
Counts
4 → 147
Calls

4 calls:

50.0ms
(/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) (-.f64 1 (*.f64 v v)))
50.0ms
(/.f64 (fma.f64 v (*.f64 v -5) 1) t)
50.0ms
(/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
50.0ms
(*.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) 1) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) (-.f64 1 (*.f64 v v))))

simplify79.0ms (1.8%)

Algorithm
egg-herbie
Rules
344×sub-neg_binary64
331×associate-/r*_binary64
268×fma-def_binary64
226×associate-+r+_binary64
215×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03453753
111943681
245203679
Stop Event
node limit
Counts
219 → 225

prune250.0ms (5.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2241225
Fresh123
Picked011
Done011
Total2255230
Error
0b
Counts
230 → 5
Alt Table
StatusErrorProgram
0.2b
(/.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) t) (-.f64 1 (*.f64 v v)))
1.6b
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 (sqrt.f64 1/2) (PI.f64))) (-.f64 1 (*.f64 v v)))
0.4b
(pow.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) (/.f64 (-.f64 1 (*.f64 v v)) (/.f64 (fma.f64 v (*.f64 v -5) 1) t))) -1)
0.3b
(/.f64 (/.f64 1 (PI.f64)) (*.f64 (/.f64 t (fma.f64 v (*.f64 v -5) 1)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))
0.3b
(*.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) 1) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) (-.f64 1 (*.f64 v v))))
Compiler

Compiled 9433 to 6612 computations (29.9% saved)

regimes491.0ms (11.2%)

Accuracy

Total 0.1b remaining (95.6%)

Threshold costs 0.1b (95.6%)

Counts
85 → 1
Compiler

Compiled 12552 to 9057 computations (27.8% saved)

simplify2.0ms (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
01939
12839
23539
33939
44139
Stop Event
saturated

end106.0ms (2.4%)

Compiler

Compiled 189 to 136 computations (28% saved)

Profiling

Loading profile data...