Details

Time bar (total: 11.9s)

analyze2.9s (24.2%)

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)

sample4.2s (35%)

Symmetry

(sort y z)

(sort b c)

(sort j k)

Results
2.0s8256×body128valid
2.0s8506×body128invalid
Compiler

Compiled 125 to 89 computations (28.8% saved)

simplify331.0ms (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
5.9b
(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))))
5.2b
(-.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)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (*.f64 a 4) t)
0.5b
(*.f64 (*.f64 j 27) k)
3.6b
(*.f64 (*.f64 (*.f64 x 18) y) z)
5.7b
(*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t)

series42.0ms (0.4%)

Counts
4 → 132
Calls

4 calls:

22.0ms
(*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t)
11.0ms
(*.f64 (*.f64 (*.f64 x 18) y) z)
4.0ms
(*.f64 (*.f64 a 4) t)
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:

7.0ms
(*.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 a 4) t)

simplify116.0ms (1%)

Algorithm
egg-herbie
Rules
692×sqr-pow_binary64
518×associate-*l*_binary64
339×associate-*r*_binary64
265×unswap-sqr_binary64
249×pow-sqr_binary64
Counts
221 → 129
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01712582
14092318
216662318
321122318
429582318
544342318
653402318

prune223.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1236129
Fresh011
Picked101
Done000
Total1247131
Error
0.0b
Counts
131 → 7
Alt Table
StatusErrorProgram
5.9b
(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 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))
17.6b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) (sqrt.f64 z)) (sqrt.f64 z)) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
5.8b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 x 18) (*.f64 y z)) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 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 j (*.f64 27 k)))
5.3b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x 18) y) z)) (cbrt.f64 (*.f64 (*.f64 (*.f64 x 18) y) z))) (cbrt.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))
5.4b
(-.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))
Compiler

Compiled 5328 to 3124 computations (41.4% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (*.f64 a 4) t)
0.5b
(*.f64 (*.f64 j 27) k)
3.6b
(*.f64 t (*.f64 z x))
6.3b
(*.f64 y (*.f64 t (*.f64 z x)))

series26.0ms (0.2%)

Counts
2 → 0
Calls

2 calls:

18.0ms
(*.f64 y (*.f64 t (*.f64 z x)))
8.0ms
(*.f64 t (*.f64 z x))

rewrite11.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube_binary64
16×add-exp-log_binary64
16×pow1_binary64
cbrt-unprod_binary64
prod-exp_binary64
Counts
2 → 43
Calls

2 calls:

5.0ms
(*.f64 y (*.f64 t (*.f64 z x)))
3.0ms
(*.f64 t (*.f64 z x))

simplify84.0ms (0.7%)

Algorithm
egg-herbie
Rules
589×log-div_binary64
469×associate-/l*_binary64
396×unswap-sqr_binary64
377×associate-/r/_binary64
357×*-commutative_binary64
Counts
43 → 42
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063569
1147440
2521440
3835440
41091440
51573440
62585440
73556440
84694440
95179440

prune195.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1013104
Fresh156
Picked011
Done000
Total1029111
Error
0.0b
Counts
111 → 9
Alt Table
StatusErrorProgram
5.9b
(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 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))
5.0b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (*.f64 (cbrt.f64 t) (*.f64 z x))))) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
6.2b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 18 (*.f64 (*.f64 y t) (*.f64 z x))) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
5.0b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 18 (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.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))
5.8b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 x 18) (*.f64 y z)) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 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 j (*.f64 27 k)))
5.3b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x 18) y) z)) (cbrt.f64 (*.f64 (*.f64 (*.f64 x 18) y) z))) (cbrt.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))
5.4b
(-.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))
Compiler

Compiled 4519 to 2396 computations (47% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 y)
2.6b
(*.f64 (cbrt.f64 y) (*.f64 t (*.f64 z x)))
3.6b
(*.f64 t (*.f64 z x))
3.9b
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 y) (*.f64 t (*.f64 z x))))

series737.0ms (6.2%)

Counts
3 → 108
Calls

3 calls:

672.0ms
(*.f64 (cbrt.f64 y) (*.f64 t (*.f64 z x)))
33.0ms
(cbrt.f64 y)
32.0ms
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 y) (*.f64 t (*.f64 z x))))

rewrite27.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
44×add-exp-log_binary64
44×pow1_binary64
30×cbrt-unprod_binary64
30×prod-exp_binary64
30×pow-prod-down_binary64
Counts
3 → 75
Calls

3 calls:

14.0ms
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 y) (*.f64 t (*.f64 z x))))
6.0ms
(*.f64 (cbrt.f64 y) (*.f64 t (*.f64 z x)))
1.0ms
(cbrt.f64 y)

simplify136.0ms (1.1%)

Algorithm
egg-herbie
Rules
952×fma-def_binary64
573×*-commutative_binary64
412×unswap-sqr_binary64
384×associate-+l+_binary64
279×associate-*r*_binary64
Counts
183 → 96
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01072287
12421982
29471982
318401982
439871976
547761976
649741976
750021976

prune282.0ms (2.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1520152
Fresh077
Picked011
Done011
Total1529161
Error
0.0b
Counts
161 → 9
Alt Table
StatusErrorProgram
5.9b
(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 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))
5.0b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (*.f64 (cbrt.f64 t) (*.f64 z x))))) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
6.2b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 18 (*.f64 (*.f64 y t) (*.f64 z x))) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
5.0b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 18 (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.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))
5.8b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 x 18) (*.f64 y z)) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 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 j (*.f64 27 k)))
5.3b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x 18) y) z)) (cbrt.f64 (*.f64 (*.f64 (*.f64 x 18) y) z))) (cbrt.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))
5.4b
(-.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))
Compiler

Compiled 7296 to 3316 computations (54.6% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(cbrt.f64 t)
1.5b
(*.f64 (cbrt.f64 t) (*.f64 z x))
2.3b
(*.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (*.f64 (cbrt.f64 t) (*.f64 z x)))
6.3b
(*.f64 y (*.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (*.f64 (cbrt.f64 t) (*.f64 z x))))

series534.0ms (4.5%)

Counts
4 → 132
Calls

4 calls:

445.0ms
(*.f64 (cbrt.f64 t) (*.f64 z x))
35.0ms
(*.f64 y (*.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (*.f64 (cbrt.f64 t) (*.f64 z x))))
33.0ms
(cbrt.f64 t)
21.0ms
(*.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (*.f64 (cbrt.f64 t) (*.f64 z x)))

rewrite35.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
59×add-exp-log_binary64
59×pow1_binary64
40×cbrt-unprod_binary64
40×prod-exp_binary64
40×pow-prod-down_binary64
Counts
4 → 101
Calls

4 calls:

14.0ms
(*.f64 y (*.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (*.f64 (cbrt.f64 t) (*.f64 z x))))
8.0ms
(*.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (*.f64 (cbrt.f64 t) (*.f64 z x)))
4.0ms
(*.f64 (cbrt.f64 t) (*.f64 z x))
1.0ms
(cbrt.f64 t)

simplify138.0ms (1.2%)

Algorithm
egg-herbie
Rules
853×fma-def_binary64
630×*-commutative_binary64
450×unswap-sqr_binary64
387×associate-+l+_binary64
308×associate-*r*_binary64
Counts
233 → 130
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01222477
12612129
210482126
320212126
442682126
549692126
649572126

prune297.0ms (2.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1660166
Fresh066
Picked011
Done022
Total1669175
Error
0.0b
Counts
175 → 9
Alt Table
StatusErrorProgram
5.9b
(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 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))
5.0b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (*.f64 (cbrt.f64 t) (*.f64 z x))))) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
6.2b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 18 (*.f64 (*.f64 y t) (*.f64 z x))) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
5.0b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 18 (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.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))
5.8b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 x 18) (*.f64 y z)) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 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 j (*.f64 27 k)))
5.3b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x 18) y) z)) (cbrt.f64 (*.f64 (*.f64 (*.f64 x 18) y) z))) (cbrt.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))
5.4b
(-.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))
Compiler

Compiled 7543 to 3418 computations (54.7% saved)

regimes1.2s (10%)

Accuracy

Total 1.0b remaining (97.3%)

Threshold costs 1.0b (97.3%)

Counts
28 → 3
Compiler

Compiled 24254 to 17194 computations (29.1% saved)

bsearch2.0ms (0%)

Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
27×*-commutative_binary64
16×+-commutative_binary64
15×sub-neg_binary64
12×distribute-rgt-neg-in_binary64
12×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049200
178200
2115200
3141200
4160200
5169200
6171200
7168200

end286.0ms (2.4%)

Remove

(sort j k)

(sort b c)

(sort y z)

Compiler

Compiled 1572 to 955 computations (39.2% saved)

Profiling

Loading profile data...