Details

Time bar (total: 11.9s)

analyze3.0s (25.5%)

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)

sample3.9s (32.6%)

Symmetry

(sort y z)

(sort b c)

(sort j k)

Results
1.9s8256×body128valid
1.9s8504×body128invalid
Compiler

Compiled 125 to 89 computations (28.8% saved)

simplify335.0ms (2.8%)

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
0.6b
Counts
3 → 2
Alt Table
StatusErrorProgram
6.8b
(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))))
4.9b
(-.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 j 27) k))
Compiler

Compiled 218 to 148 computations (32.1% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 x 18) y)
0.3b
(*.f64 (*.f64 j 27) k)
5.5b
(*.f64 (*.f64 (*.f64 x 18) y) z)
6.0b
(*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t)

series46.0ms (0.4%)

Counts
4 → 132
Calls

4 calls:

22.0ms
(*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t)
10.0ms
(*.f64 (*.f64 (*.f64 x 18) y) z)
9.0ms
(*.f64 (*.f64 j 27) k)
5.0ms
(*.f64 (*.f64 x 18) y)

rewrite27.0ms (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:

8.0ms
(*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t)
5.0ms
(*.f64 (*.f64 (*.f64 x 18) y) z)
4.0ms
(*.f64 (*.f64 j 27) k)
4.0ms
(*.f64 (*.f64 x 18) y)

simplify118.0ms (1%)

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

prune172.0ms (1.4%)

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
4.9b
(-.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 j (*.f64 27 k)))
5.1b
(-.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 (cbrt.f64 (*.f64 (*.f64 j 27) k)) (cbrt.f64 (*.f64 (*.f64 j 27) k))) (cbrt.f64 (*.f64 (*.f64 j 27) k))))
5.7b
(-.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))
31.8b
(-.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 (*.f64 (*.f64 j 27) k)) (sqrt.f64 (*.f64 (*.f64 j 27) k))))
4.9b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 18 (*.f64 y x)) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
6.8b
(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))))
34.8b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) (sqrt.f64 t)) (sqrt.f64 t)) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
Compiler

Compiled 5274 to 3093 computations (41.4% saved)

localize21.0ms (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))
5.5b
(*.f64 (*.f64 (*.f64 x 18) y) z)
6.0b
(*.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))

simplify67.0ms (0.6%)

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

prune269.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1270127
Fresh066
Picked011
Done000
Total1277134
Error
0.0b
Counts
134 → 7
Alt Table
StatusErrorProgram
4.9b
(-.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 j (*.f64 27 k)))
5.1b
(-.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 (cbrt.f64 (*.f64 (*.f64 j 27) k)) (cbrt.f64 (*.f64 (*.f64 j 27) k))) (cbrt.f64 (*.f64 (*.f64 j 27) k))))
5.7b
(-.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))
31.8b
(-.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 (*.f64 (*.f64 j 27) k)) (sqrt.f64 (*.f64 (*.f64 j 27) k))))
4.9b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 18 (*.f64 y x)) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
6.8b
(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))))
34.8b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) (sqrt.f64 t)) (sqrt.f64 t)) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
Compiler

Compiled 5233 to 3063 computations (41.5% saved)

localize70.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 18 (*.f64 y x))
0.3b
(*.f64 (*.f64 j 27) k)
5.5b
(*.f64 (*.f64 18 (*.f64 y x)) z)
6.0b
(*.f64 (*.f64 (*.f64 18 (*.f64 y x)) z) t)

series40.0ms (0.3%)

Counts
3 → 84
Calls

3 calls:

22.0ms
(*.f64 (*.f64 (*.f64 18 (*.f64 y x)) z) t)
12.0ms
(*.f64 (*.f64 18 (*.f64 y x)) z)
6.0ms
(*.f64 18 (*.f64 y x))

rewrite45.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
31×add-cbrt-cube_binary64
31×add-exp-log_binary64
31×pow1_binary64
19×cbrt-unprod_binary64
19×prod-exp_binary64
Counts
3 → 69
Calls

3 calls:

28.0ms
(*.f64 18 (*.f64 y x))
7.0ms
(*.f64 (*.f64 (*.f64 18 (*.f64 y x)) z) t)
6.0ms
(*.f64 (*.f64 18 (*.f64 y x)) z)

simplify118.0ms (1%)

Algorithm
egg-herbie
Rules
602×*-commutative_binary64
516×sqr-pow_binary64
393×associate-/l/_binary64
315×associate-*l*_binary64
246×unswap-sqr_binary64
Counts
153 → 85
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01032035
12431807
210411807
317471807
424271807
536761807
649741807
749621807

prune225.0ms (1.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1150115
Fresh055
Picked011
Done011
Total1157122
Error
0.0b
Counts
122 → 7
Alt Table
StatusErrorProgram
4.9b
(-.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 j (*.f64 27 k)))
5.1b
(-.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 (cbrt.f64 (*.f64 (*.f64 j 27) k)) (cbrt.f64 (*.f64 (*.f64 j 27) k))) (cbrt.f64 (*.f64 (*.f64 j 27) k))))
5.7b
(-.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))
31.8b
(-.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 (*.f64 (*.f64 j 27) k)) (sqrt.f64 (*.f64 (*.f64 j 27) k))))
4.9b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 18 (*.f64 y x)) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
6.8b
(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))))
34.8b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) (sqrt.f64 t)) (sqrt.f64 t)) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
Compiler

Compiled 4774 to 2703 computations (43.4% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (cbrt.f64 (*.f64 (*.f64 j 27) k)) (cbrt.f64 (*.f64 (*.f64 j 27) k)))
5.5b
(*.f64 (*.f64 (*.f64 x 18) y) z)
6.0b
(*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t)
7.8b
(cbrt.f64 (*.f64 (*.f64 j 27) k))

series1.4s (12.1%)

Counts
2 → 48
Calls

2 calls:

878.0ms
(cbrt.f64 (*.f64 (*.f64 j 27) k))
563.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 j 27) k)) (cbrt.f64 (*.f64 (*.f64 j 27) k)))

rewrite11.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64
add-sqr-sqrt_binary64
pow1/3_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
2 → 44
Calls

2 calls:

6.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 j 27) k)) (cbrt.f64 (*.f64 (*.f64 j 27) k)))
3.0ms
(cbrt.f64 (*.f64 (*.f64 j 27) k))

simplify99.0ms (0.8%)

Algorithm
egg-herbie
Rules
692×fma-neg_binary64
372×associate-*l*_binary64
332×exp-prod_binary64
289×fma-def_binary64
277×associate-*r*_binary64
Counts
92 → 82
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01191742
12431575
25101318
317321135
440141073
548861073
649321073

prune335.0ms (2.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1990199
Fresh044
Picked011
Done022
Total1997206
Error
0.0b
Counts
206 → 7
Alt Table
StatusErrorProgram
4.9b
(-.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 j (*.f64 27 k)))
5.1b
(-.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 (cbrt.f64 (*.f64 (*.f64 j 27) k)) (cbrt.f64 (*.f64 (*.f64 j 27) k))) (cbrt.f64 (*.f64 (*.f64 j 27) k))))
5.7b
(-.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))
31.8b
(-.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 (*.f64 (*.f64 j 27) k)) (sqrt.f64 (*.f64 (*.f64 j 27) k))))
4.9b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 18 (*.f64 y x)) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
6.8b
(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))))
34.8b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) (sqrt.f64 t)) (sqrt.f64 t)) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
Compiler

Compiled 10462 to 6672 computations (36.2% saved)

regimes890.0ms (7.5%)

Accuracy

Total 0.7b remaining (72.4%)

Threshold costs 0.7b (72.4%)

Counts
23 → 3
Compiler

Compiled 20032 to 14298 computations (28.6% saved)

bsearch2.0ms (0%)

Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
32×*-commutative_binary64
19×+-commutative_binary64
18×sub-neg_binary64
16×distribute-rgt-neg-in_binary64
14×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050185
192185
2142185
3174185
4194185
5200185
6198185

end595.0ms (5%)

Remove

(sort b c)

Compiler

Compiled 1928 to 1237 computations (35.8% saved)

Profiling

Loading profile data...