Details

Time bar (total: 6.2s)

analyze370.0ms (5.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14
Compiler

Compiled 43 to 31 computations (27.9% saved)

sample1.6s (26%)

Results
1.3s7913×body128valid
148.0ms999×body128invalid
94.0ms343×body256valid
Compiler

Compiled 106 to 76 computations (28.3% saved)

simplify350.0ms (5.6%)

Algorithm
egg-herbie
Rules
1968×fma-neg_binary64
1363×fma-def_binary64
898×div-sub_binary64
743×associate-/l*_binary64
567×times-frac_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01326
13022
26422
313522
420122
533522
655422
792922
8147722
9211522
10259922
11255422
12260222
13267122
14311722
15232722
16237522
17238322
18238922
19239522
20239722
21239722
22258522
23268522
24261922
25263122
26266122
27267722
28270722
29270722
30275122
31285122
32282722
33282722
34263822

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
27.7b
Counts
3 → 2
Alt Table
StatusErrorProgram
27.8b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
27.8b
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a))
Compiler

Compiled 111 to 74 computations (33.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(*.f64 (*.f64 3 a) c)
0.4b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
27.7b
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))

series141.0ms (2.3%)

Counts
4 → 100
Calls

4 calls:

90.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
35.0ms
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))
10.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
4.0ms
(*.f64 (*.f64 3 a) c)

rewrite30.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity_binary64
14×add-cbrt-cube_binary64
14×add-exp-log_binary64
10×add-log-exp_binary64
10×add-sqr-sqrt_binary64
Counts
4 → 93
Calls

4 calls:

9.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
7.0ms
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))
6.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
4.0ms
(*.f64 (*.f64 3 a) c)

simplify111.0ms (1.8%)

Algorithm
egg-herbie
Rules
791×fma-def_binary64
309×fma-neg_binary64
282×cancel-sign-sub-inv_binary64
189×associate-*r*_binary64
182×associate-*l*_binary64
Counts
193 → 187
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02473732
16873410
225793302
348083302
448893302

prune144.0ms (2.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New17314187
Fresh011
Picked101
Done000
Total17415189
Error
0.9b
Counts
189 → 15
Alt Table
StatusErrorProgram
27.8b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))) (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)))) (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))))
23.5b
(*.f64 -1/2 (/.f64 c b))
46.1b
(/.f64 (log.f64 (*.f64 (/.f64 1 (exp.f64 b)) (exp.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))) (*.f64 3 a))
6.1b
(/.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (fma.f64 9/8 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
27.6b
(/.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (*.f64 (*.f64 3 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))
8.3b
(/.f64 (fma.f64 -3/2 (/.f64 (*.f64 c a) b) (fma.f64 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) -9/8 (/.f64 -27/16 (/.f64 (pow.f64 b 5) (pow.f64 (*.f64 c a) 3))))) (*.f64 3 a))
28.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 c a) -3 (*.f64 b b)) 3)))) (*.f64 3 a))
27.8b
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a))
28.2b
(/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
27.7b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3))))) (*.f64 3 a))
27.9b
(/.f64 (+.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) 3)) (*.f64 (*.f64 3 a) (+.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))))
5.9b
(neg.f64 (fma.f64 9/16 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 1/2 (/.f64 c b) (*.f64 3/8 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b 3)))))))
27.9b
(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) 3)) (+.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))) (*.f64 3 a))
27.7b
(/.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))) (*.f64 3 a))
27.8b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))) 3) (/.f64 (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) a))
Compiler

Compiled 5812 to 3430 computations (41% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 3/8 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b 3)))
0.3b
(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.3b
(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.3b
(*.f64 (*.f64 a a) (pow.f64 c 3))

series200.0ms (3.2%)

Counts
4 → 120
Calls

4 calls:

98.0ms
(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
69.0ms
(*.f64 3/8 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b 3)))
18.0ms
(*.f64 (pow.f64 a 3) (pow.f64 c 4))
15.0ms
(*.f64 (*.f64 a a) (pow.f64 c 3))

rewrite43.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
123×add-exp-log_binary64
64×prod-exp_binary64
43×add-sqr-sqrt_binary64
39×div-exp_binary64
39×pow-exp_binary64
Counts
4 → 191
Calls

4 calls:

11.0ms
(*.f64 3/8 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b 3)))
7.0ms
(*.f64 (*.f64 a a) (pow.f64 c 3))
6.0ms
(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
6.0ms
(*.f64 (pow.f64 a 3) (pow.f64 c 4))

simplify116.0ms (1.9%)

Algorithm
egg-herbie
Rules
772×associate-/r/_binary64
399×associate-*l*_binary64
347×associate-*r*_binary64
243×times-frac_binary64
227×log-prod_binary64
Counts
311 → 228
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02924999
16184586
229834515
353804515

prune416.0ms (6.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New2253228
Fresh11314
Picked011
Done000
Total22617243
Error
0.8b
Counts
243 → 17
Alt Table
StatusErrorProgram
6.3b
(neg.f64 (fma.f64 9/16 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)))) (fma.f64 1/2 (/.f64 c b) (*.f64 3/8 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b 3)))))))
46.1b
(/.f64 (log.f64 (*.f64 (/.f64 1 (exp.f64 b)) (exp.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))) (*.f64 3 a))
6.1b
(/.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (fma.f64 9/8 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
27.6b
(/.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (*.f64 (*.f64 3 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))
8.3b
(/.f64 (fma.f64 -3/2 (/.f64 (*.f64 c a) b) (fma.f64 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) -9/8 (/.f64 -27/16 (/.f64 (pow.f64 b 5) (pow.f64 (*.f64 c a) 3))))) (*.f64 3 a))
28.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 c a) -3 (*.f64 b b)) 3)))) (*.f64 3 a))
27.8b
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a))
22.3b
(neg.f64 (fma.f64 9/16 (/.f64 (log.f64 (exp.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)))) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 1/2 (/.f64 c b) (*.f64 3/8 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b 3)))))))
27.8b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))) (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)))) (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))))
28.2b
(/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
27.7b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3))))) (*.f64 3 a))
27.9b
(/.f64 (+.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) 3)) (*.f64 (*.f64 3 a) (+.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))))
5.9b
(neg.f64 (fma.f64 9/16 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 1/2 (/.f64 c b) (*.f64 3/8 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b 3)))))))
27.9b
(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) 3)) (+.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))) (*.f64 3 a))
27.7b
(/.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))) (*.f64 3 a))
27.8b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))) 3) (/.f64 (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) a))
11.8b
(neg.f64 (fma.f64 9/16 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 1/2 (/.f64 c b) (log.f64 (exp.f64 (*.f64 3/8 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b 3)))))))))
Compiler

Compiled 12717 to 7883 computations (38% saved)

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5))
0.4b
(/.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (fma.f64 9/8 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
0.5b
(*.f64 (*.f64 c a) (*.f64 c a))
0.8b
(pow.f64 (*.f64 c a) 3)

series186.0ms (3%)

Counts
4 → 120
Calls

4 calls:

90.0ms
(/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5))
71.0ms
(/.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (fma.f64 9/8 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
14.0ms
(pow.f64 (*.f64 c a) 3)
10.0ms
(*.f64 (*.f64 c a) (*.f64 c a))

rewrite35.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
59×times-frac_binary64
46×pow1_binary64
44×add-exp-log_binary64
36×unpow-prod-down_binary64
33×*-un-lft-identity_binary64
Counts
4 → 182
Calls

4 calls:

7.0ms
(/.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (fma.f64 9/8 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
6.0ms
(*.f64 (*.f64 c a) (*.f64 c a))
5.0ms
(/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5))
3.0ms
(pow.f64 (*.f64 c a) 3)

simplify173.0ms (2.8%)

Algorithm
egg-herbie
Rules
382×unswap-sqr_binary64
349×associate-/l*_binary64
330×fma-def_binary64
277×times-frac_binary64
273×log-prod_binary64
Counts
302 → 225
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02957570
16306716
231626524
346816524
451266524

prune398.0ms (6.4%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New2196225
Fresh31215
Picked011
Done101
Total22319242
Error
0.8b
Counts
242 → 19
Alt Table
StatusErrorProgram
6.3b
(neg.f64 (fma.f64 9/16 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)))) (fma.f64 1/2 (/.f64 c b) (*.f64 3/8 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b 3)))))))
6.9b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (fma.f64 9/8 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))))) (cbrt.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (fma.f64 9/8 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))))) 3) (/.f64 (cbrt.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (fma.f64 9/8 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))))) a))
46.1b
(/.f64 (log.f64 (*.f64 (/.f64 1 (exp.f64 b)) (exp.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))) (*.f64 3 a))
6.1b
(/.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (fma.f64 9/8 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
6.1b
(/.f64 (/.f64 (-.f64 (*.f64 -3/2 (*.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) 27/16 (*.f64 405/128 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)))))) 3) a)
27.6b
(/.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (*.f64 (*.f64 3 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))
6.9b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 -3/2 (*.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) 27/16 (*.f64 405/128 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)))))) (*.f64 3 a))) (cbrt.f64 (/.f64 (-.f64 (*.f64 -3/2 (*.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) 27/16 (*.f64 405/128 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)))))) (*.f64 3 a)))) (cbrt.f64 (/.f64 (-.f64 (*.f64 -3/2 (*.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) 27/16 (*.f64 405/128 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)))))) (*.f64 3 a))))
27.9b
(/.f64 (+.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) 3)) (*.f64 (*.f64 3 a) (+.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))))
21.6b
(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (fma.f64 9/8 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))))
27.9b
(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) 3)) (+.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))) (*.f64 3 a))
28.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 c a) -3 (*.f64 b b)) 3)))) (*.f64 3 a))
27.8b
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a))
27.8b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))) (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)))) (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))))
28.2b
(/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
27.7b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3))))) (*.f64 3 a))
6.3b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 -3/2 (*.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) 27/16 (*.f64 405/128 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)))))) (*.f64 3 a)) 3))
6.1b
(/.f64 1 (/.f64 3 (/.f64 (-.f64 (*.f64 -3/2 (*.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) 27/16 (*.f64 405/128 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)))))) a)))
27.7b
(/.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))) (*.f64 3 a))
27.8b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))) 3) (/.f64 (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) a))
Compiler

Compiled 15679 to 9252 computations (41% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5))
0.5b
(pow.f64 (*.f64 c a) 2)
0.8b
(pow.f64 (*.f64 c a) 3)
0.9b
(pow.f64 (*.f64 c a) 4)

series23.0ms (0.4%)

Counts
2 → 48
Calls

2 calls:

16.0ms
(pow.f64 (*.f64 c a) 4)
7.0ms
(pow.f64 (*.f64 c a) 2)

rewrite6.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64
pow1_binary64
pow-unpow_binary64
pow-exp_binary64
pow-pow_binary64
Counts
2 → 39
Calls

2 calls:

2.0ms
(pow.f64 (*.f64 c a) 4)
2.0ms
(pow.f64 (*.f64 c a) 2)

simplify73.0ms (1.2%)

Algorithm
egg-herbie
Rules
783×fma-def_binary64
676×log-prod_binary64
671×exp-prod_binary64
654×unswap-sqr_binary64
451×cube-prod_binary64
Counts
87 → 44
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
055827
189656
2201656
3955653
42788653
54328650
64969650

prune314.0ms (5%)

Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New1780178
Fresh01717
Picked011
Done011
Total17819197
Error
0.8b
Counts
197 → 19
Alt Table
StatusErrorProgram
6.3b
(neg.f64 (fma.f64 9/16 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)))) (fma.f64 1/2 (/.f64 c b) (*.f64 3/8 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b 3)))))))
6.9b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (fma.f64 9/8 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))))) (cbrt.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (fma.f64 9/8 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))))) 3) (/.f64 (cbrt.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (fma.f64 9/8 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))))) a))
46.1b
(/.f64 (log.f64 (*.f64 (/.f64 1 (exp.f64 b)) (exp.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))) (*.f64 3 a))
6.1b
(/.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (fma.f64 9/8 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
6.1b
(/.f64 (/.f64 (-.f64 (*.f64 -3/2 (*.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) 27/16 (*.f64 405/128 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)))))) 3) a)
27.6b
(/.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (*.f64 (*.f64 3 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))
6.9b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 -3/2 (*.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) 27/16 (*.f64 405/128 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)))))) (*.f64 3 a))) (cbrt.f64 (/.f64 (-.f64 (*.f64 -3/2 (*.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) 27/16 (*.f64 405/128 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)))))) (*.f64 3 a)))) (cbrt.f64 (/.f64 (-.f64 (*.f64 -3/2 (*.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) 27/16 (*.f64 405/128 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)))))) (*.f64 3 a))))
27.9b
(/.f64 (+.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) 3)) (*.f64 (*.f64 3 a) (+.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))))
21.6b
(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (fma.f64 9/8 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))))
27.9b
(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) 3)) (+.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))) (*.f64 3 a))
28.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 c a) -3 (*.f64 b b)) 3)))) (*.f64 3 a))
27.8b
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a))
27.8b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))) (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)))) (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))))
28.2b
(/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
27.7b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3))))) (*.f64 3 a))
6.3b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 -3/2 (*.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) 27/16 (*.f64 405/128 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)))))) (*.f64 3 a)) 3))
6.1b
(/.f64 1 (/.f64 3 (/.f64 (-.f64 (*.f64 -3/2 (*.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) 27/16 (*.f64 405/128 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)))))) a)))
27.7b
(/.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))) (*.f64 3 a))
27.8b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))) 3) (/.f64 (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) a))
Compiler

Compiled 10441 to 6341 computations (39.3% saved)

regimes838.0ms (13.4%)

Accuracy

Total 5.1b remaining (87.1%)

Threshold costs 0b (0%)

Counts
102 → 1
Compiler

Compiled 24974 to 16544 computations (33.8% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03161
13561
23561

end559.0ms (9%)

Compiler

Compiled 1128 to 731 computations (35.2% saved)

Profiling

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