Details

Time bar (total: 11.0s)

analyze4.4s (39.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.5%0.5%0
0%99.5%0.5%1
0%99.5%0.5%2
0%99.5%0.5%3
0%99.5%0.5%4
0%99.5%0.5%5
0%99.5%0.5%6
0%99.5%0.5%7
0%99.5%0.5%8
0%99.5%0.5%9
0%99.5%0.5%10
0%99.5%0.5%11
0%99.5%0.5%12
0%99.5%0.5%13
0%99.5%0.5%14
Compiler

Compiled 42 to 30 computations (28.6% saved)

sample135.0ms (1.2%)

Algorithm
intervals
Results
31.0ms293×body128invalid
25.0ms256×body128valid
Compiler

Compiled 93 to 69 computations (25.8% saved)

simplify357.0ms (3.3%)

Algorithm
egg-herbie
Rules
6437×fma-neg_binary64
684×unsub-neg_binary64
621×distribute-rgt-neg-in_binary64
515×distribute-rgt-in_binary64
434×sub-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02943
17737
225535
377335
4171135
5277735
6347435
7347035
8349335
9351635
10353435
11353435
12352635
13354935
14354935
15354935
16363935
17413135
18367535
19367535
20367535
21938435

prune5.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
4.1b
(fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c))))
2.6b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
Compiler

Compiled 218 to 148 computations (32.1% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 x 18) y)
0.2b
(*.f64 (*.f64 j 27) k)
4.0b
(*.f64 (*.f64 (*.f64 x 18) y) z)
4.2b
(*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t)

series44.0ms (0.4%)

Counts
4 → 132
Calls

4 calls:

21.0ms
(*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t)
10.0ms
(*.f64 (*.f64 (*.f64 x 18) y) z)
7.0ms
(*.f64 (*.f64 x 18) y)
4.0ms
(*.f64 (*.f64 j 27) k)

rewrite24.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube_binary64
37×add-exp-log_binary64
37×pow1_binary64
22×cbrt-unprod_binary64
22×prod-exp_binary64
Counts
4 → 89
Calls

4 calls:

6.0ms
(*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t)
5.0ms
(*.f64 (*.f64 (*.f64 x 18) y) z)
4.0ms
(*.f64 (*.f64 x 18) y)
4.0ms
(*.f64 (*.f64 j 27) k)

simplify155.0ms (1.4%)

Algorithm
egg-herbie
Rules
708×unswap-sqr_binary64
612×sqr-pow_binary64
463×associate-*l*_binary64
289×associate-*r*_binary64
215×pow-sqr_binary64
Counts
221 → 127
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01502582
13512318
214072318
318312318
425852318
539632318
657602318

prune201.0ms (1.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1216127
Fresh011
Picked101
Done000
Total1227129
Error
0.0b
Counts
129 → 7
Alt Table
StatusErrorProgram
2.6b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 j (*.f64 27 k)))
2.6b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 27 (*.f64 k j)))
4.1b
(fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c))))
3.4b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 x 18) y) (*.f64 z t)) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
2.9b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 (*.f64 j 27) (*.f64 (cbrt.f64 k) (cbrt.f64 k))) (cbrt.f64 k)))
14.6b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (cbrt.f64 (*.f64 19683 (pow.f64 (*.f64 k j) 3))))
3.1b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x)))) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
Compiler

Compiled 5240 to 3067 computations (41.5% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 x 18) y)
0.2b
(*.f64 27 (*.f64 k j))
4.0b
(*.f64 (*.f64 (*.f64 x 18) y) z)
4.2b
(*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t)

series5.0ms (0%)

Counts
1 → 0
Calls

1 calls:

5.0ms
(*.f64 27 (*.f64 k j))

rewrite7.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
pow1_binary64
associate-*l*_binary64
cbrt-unprod_binary64
Counts
1 → 20
Calls

1 calls:

6.0ms
(*.f64 27 (*.f64 k j))

simplify64.0ms (0.6%)

Algorithm
egg-herbie
Rules
495×associate-/l*_binary64
484×cube-div_binary64
484×log-div_binary64
401×*-commutative_binary64
334×associate-*l*_binary64
Counts
20 → 20
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040210
184174
2255174
3647174
4824174
5953174
61171174
71550174
82413174
93887174
105001174

prune205.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1161117
Fresh246
Picked011
Done000
Total1186124
Error
0.0b
Counts
124 → 6
Alt Table
StatusErrorProgram
2.6b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 j (*.f64 27 k)))
2.6b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 27 (*.f64 k j)))
4.1b
(fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c))))
3.4b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 x 18) y) (*.f64 z t)) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
3.1b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x)))) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
2.7b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 k j))))
Compiler

Compiled 4760 to 2676 computations (43.8% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 x 18) y)
0.2b
(*.f64 j (*.f64 27 k))
4.0b
(*.f64 (*.f64 (*.f64 x 18) y) z)
4.2b
(*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t)

series5.0ms (0%)

Counts
1 → 24
Calls

1 calls:

5.0ms
(*.f64 j (*.f64 27 k))

rewrite5.0ms (0%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
pow1_binary64
associate-*l*_binary64
cbrt-unprod_binary64
Counts
1 → 20
Calls

1 calls:

4.0ms
(*.f64 j (*.f64 27 k))

simplify177.0ms (1.6%)

Algorithm
egg-herbie
Rules
525×associate-/r/_binary64
451×associate-*l*_binary64
384×associate-/l*_binary64
372×*-commutative_binary64
301×associate-*r*_binary64
Counts
44 → 30
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042378
190342
2302342
3821342
41011342
51137342
62002342
74806342
84922342

prune196.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh044
Picked011
Done011
Total1276133
Error
0.0b
Counts
133 → 6
Alt Table
StatusErrorProgram
2.6b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 j (*.f64 27 k)))
2.6b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 27 (*.f64 k j)))
4.1b
(fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c))))
3.4b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 x 18) y) (*.f64 z t)) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
3.1b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x)))) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
2.7b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 k j))))
Compiler

Compiled 5064 to 2946 computations (41.8% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 k j)))
0.3b
(*.f64 (sqrt.f64 27) (*.f64 k j))
4.0b
(*.f64 (*.f64 (*.f64 x 18) y) z)
4.2b
(*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t)

series45.0ms (0.4%)

Counts
2 → 48
Calls

2 calls:

26.0ms
(*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 k j)))
19.0ms
(*.f64 (sqrt.f64 27) (*.f64 k j))

rewrite16.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube_binary64
16×add-exp-log_binary64
16×pow1_binary64
12×associate-*l*_binary64
cbrt-unprod_binary64
Counts
2 → 49
Calls

2 calls:

7.0ms
(*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 k j)))
5.0ms
(*.f64 (sqrt.f64 27) (*.f64 k j))

simplify113.0ms (1%)

Algorithm
egg-herbie
Rules
383×unswap-sqr_binary64
346×*-commutative_binary64
338×associate-+l+_binary64
326×distribute-rgt-in_binary64
291×sqr-pow_binary64
Counts
97 → 73
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
071975
1164879
2556879
3859871
41168871
51833871
64012871
74659871
84999871
94933871

prune218.0ms (2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1400140
Fresh033
Picked011
Done022
Total1406146
Error
0.0b
Counts
146 → 6
Alt Table
StatusErrorProgram
2.6b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 j (*.f64 27 k)))
2.6b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 27 (*.f64 k j)))
4.1b
(fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c))))
3.4b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 x 18) y) (*.f64 z t)) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
3.1b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x)))) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
2.7b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 k j))))
Compiler

Compiled 5943 to 3630 computations (38.9% saved)

regimes461.0ms (4.2%)

Accuracy

Total 2.8b remaining (96.7%)

Threshold costs 0b (0%)

Counts
13 → 3
Compiler

Compiled 10856 to 7622 computations (29.8% saved)

bsearch72.0ms (0.7%)

Steps
ItersRangePoint
5
2.2675625499334424e-228
7.56293989999812e-228
7.421598214929802e-228
5
-1.8556804475450684e-79
-5.6919802217069474e-80
-9.975292116768165e-80
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
35×*-commutative_binary64
22×+-commutative_binary64
20×sub-neg_binary64
16×distribute-rgt-neg-in_binary64
14×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057139
1103139
2151139
3183139
4204139
5211139
6209139

end117.0ms (1.1%)

Remove

(sort b c)

Compiler

Compiled 1155 to 715 computations (38.1% saved)

sample3.9s (35.3%)

Algorithm
intervals
Results
996.0ms8193×body128invalid
833.0ms8000×body128valid
Compiler

Compiled 401 to 278 computations (30.7% saved)

Profiling

Loading profile data...