Details

Time bar (total: 11.6s)

analyze3.6s (31.2%)

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)

sample137.0ms (1.2%)

Algorithm
intervals
Results
28.0ms272×body128invalid
26.0ms256×body128valid
Compiler

Compiled 93 to 69 computations (25.8% saved)

simplify365.0ms (3.2%)

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

prune9.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.3b
Counts
3 → 2
Alt Table
StatusErrorProgram
5.1b
(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))))
3.6b
(-.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)
4.4b
(*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t)
5.5b
(*.f64 (*.f64 (*.f64 x 18) y) z)

series43.0ms (0.4%)

Counts
4 → 132
Calls

4 calls:

19.0ms
(*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t)
13.0ms
(*.f64 (*.f64 (*.f64 x 18) y) z)
6.0ms
(*.f64 (*.f64 j 27) k)
5.0ms
(*.f64 (*.f64 x 18) y)

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 x 18) y)

simplify122.0ms (1.1%)

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

prune213.0ms (1.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1207127
Fresh011
Picked101
Done000
Total1218129
Error
0.0b
Counts
129 → 8
Alt Table
StatusErrorProgram
3.9b
(-.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
(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))))
3.9b
(-.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 (cbrt.f64 (*.f64 (*.f64 j 27) k)) (cbrt.f64 (*.f64 (*.f64 j 27) k))) (cbrt.f64 (*.f64 (*.f64 j 27) k))))
4.6b
(-.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))
5.6b
(-.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))
5.3b
(-.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))
5.2b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 18 (*.f64 y (*.f64 z x))) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
3.6b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 18 y)) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
Compiler

Compiled 5332 to 3135 computations (41.2% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x (*.f64 18 y))
0.2b
(*.f64 (*.f64 j 27) k)
4.4b
(*.f64 (*.f64 (*.f64 x (*.f64 18 y)) z) t)
5.5b
(*.f64 (*.f64 x (*.f64 18 y)) z)

series36.0ms (0.3%)

Counts
3 → 108
Calls

3 calls:

19.0ms
(*.f64 (*.f64 (*.f64 x (*.f64 18 y)) z) t)
10.0ms
(*.f64 (*.f64 x (*.f64 18 y)) z)
7.0ms
(*.f64 x (*.f64 18 y))

rewrite19.0ms (0.2%)

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:

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

simplify109.0ms (0.9%)

Algorithm
egg-herbie
Rules
660×*-commutative_binary64
536×sqr-pow_binary64
400×associate-/l/_binary64
346×associate-*l*_binary64
346×unswap-sqr_binary64
Counts
177 → 98
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01052203
12511975
211071975
318111975
425311975
539911975
652591975

prune241.0ms (2.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1271128
Fresh077
Picked011
Done000
Total1279136
Error
0.0b
Counts
136 → 9
Alt Table
StatusErrorProgram
3.9b
(-.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
(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))))
4.6b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 x (*.f64 18 y)) (*.f64 z t)) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
3.9b
(-.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 (cbrt.f64 (*.f64 (*.f64 j 27) k)) (cbrt.f64 (*.f64 (*.f64 j 27) k))) (cbrt.f64 (*.f64 (*.f64 j 27) k))))
4.6b
(-.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))
5.6b
(-.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))
5.3b
(-.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))
5.2b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 18 (*.f64 y (*.f64 z x))) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
3.6b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 18 y)) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
Compiler

Compiled 5404 to 3181 computations (41.1% saved)

localize24.0ms (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)))
4.4b
(*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t)
5.5b
(*.f64 (*.f64 (*.f64 x 18) y) z)
7.4b
(cbrt.f64 (*.f64 (*.f64 j 27) k))

series962.0ms (8.3%)

Counts
2 → 48
Calls

2 calls:

584.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 j 27) k)) (cbrt.f64 (*.f64 (*.f64 j 27) k)))
377.0ms
(cbrt.f64 (*.f64 (*.f64 j 27) k))

rewrite13.0ms (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:

4.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 j 27) k)) (cbrt.f64 (*.f64 (*.f64 j 27) k)))
2.0ms
(cbrt.f64 (*.f64 (*.f64 j 27) k))

simplify102.0ms (0.9%)

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

prune436.0ms (3.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1981199
Fresh077
Picked011
Done011
Total19810208
Error
0.0b
Counts
208 → 10
Alt Table
StatusErrorProgram
3.9b
(-.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
(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))))
4.6b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 x (*.f64 18 y)) (*.f64 z t)) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
3.8b
(-.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 (*.f64 (cbrt.f64 (*.f64 (*.f64 j 27) k)) (*.f64 (cbrt.f64 (*.f64 j 27)) (cbrt.f64 k))) (cbrt.f64 (*.f64 (*.f64 j 27) k))))
3.9b
(-.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 (cbrt.f64 (*.f64 (*.f64 j 27) k)) (cbrt.f64 (*.f64 (*.f64 j 27) k))) (cbrt.f64 (*.f64 (*.f64 j 27) k))))
4.6b
(-.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))
5.6b
(-.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))
5.3b
(-.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))
5.2b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 18 (*.f64 y (*.f64 z x))) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
3.6b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 18 y)) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
Compiler

Compiled 10927 to 7002 computations (35.9% saved)

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 k)
4.4b
(*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t)
5.5b
(*.f64 (*.f64 (*.f64 x 18) y) z)
7.4b
(cbrt.f64 (*.f64 (*.f64 j 27) k))

series32.0ms (0.3%)

Counts
1 → 12
Calls

1 calls:

32.0ms
(cbrt.f64 k)

rewrite1.0ms (0%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
1 → 13
Calls

1 calls:

1.0ms
(cbrt.f64 k)

simplify84.0ms (0.7%)

Algorithm
egg-herbie
Rules
610×associate-/l/_binary64
374×log-prod_binary64
313×distribute-rgt-neg-in_binary64
310×distribute-lft-neg-in_binary64
287×*-commutative_binary64
Counts
25 → 18
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024145
137137
279137
3199137
4622133
51836133
62498133
73485133
84995133
94776133

prune272.0ms (2.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1350135
Fresh077
Picked011
Done022
Total13510145
Error
0.0b
Counts
145 → 10
Alt Table
StatusErrorProgram
3.9b
(-.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
(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))))
4.6b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 x (*.f64 18 y)) (*.f64 z t)) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
3.8b
(-.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 (*.f64 (cbrt.f64 (*.f64 (*.f64 j 27) k)) (*.f64 (cbrt.f64 (*.f64 j 27)) (cbrt.f64 k))) (cbrt.f64 (*.f64 (*.f64 j 27) k))))
3.9b
(-.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 (cbrt.f64 (*.f64 (*.f64 j 27) k)) (cbrt.f64 (*.f64 (*.f64 j 27) k))) (cbrt.f64 (*.f64 (*.f64 j 27) k))))
4.6b
(-.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))
5.6b
(-.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))
5.3b
(-.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))
5.2b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 18 (*.f64 y (*.f64 z x))) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
3.6b
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 18 y)) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k))
Compiler

Compiled 7522 to 4668 computations (37.9% saved)

regimes1.1s (9.6%)

Accuracy

Total 1.3b remaining (97.9%)

Threshold costs 0b (0%)

Counts
32 → 3
Compiler

Compiled 27431 to 19292 computations (29.7% saved)

bsearch2.0ms (0%)

Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
32×*-commutative_binary64
19×+-commutative_binary64
17×sub-neg_binary64
12×distribute-rgt-neg-in_binary64
12×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054167
198167
2141167
3165167
4183167
5189167
6187167

end72.0ms (0.6%)

Remove

(sort b c)

(sort y z)

Compiler

Compiled 1107 to 693 computations (37.4% saved)

sample3.4s (29.7%)

Algorithm
intervals
Results
881.0ms8104×body128invalid
854.0ms8000×body128valid
Compiler

Compiled 610 to 425 computations (30.3% saved)

Profiling

Loading profile data...