Details

Time bar (total: 18.4s)

analyze1.5s (8.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%74.8%25.2%8
0%74.8%25.2%9
0%74.8%25.2%10
0%74.8%25.2%11
0%74.8%25.2%12
24.9%49.9%25.2%13
24.9%37.4%37.7%14
Compiler

Compiled 26 to 20 computations (23.1% saved)

sample4.5s (24.5%)

Symmetry

(sort z t)

Results
1.4s1679×body1024valid
975.0ms4734×body128valid
869.0ms757×body2048valid
644.0ms3404×body128invalid
360.0ms738×body512valid
117.0ms348×body256valid
Compiler

Compiled 77 to 59 computations (23.4% saved)

simplify58.0ms (0.3%)

Algorithm
egg-herbie
Rules
718×fma-def_binary64
437×fma-neg_binary64
146×cancel-sign-sub-inv_binary64
110×distribute-rgt-neg-in_binary64
104×associate-/l*_binary64
Counts
1 → 2
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01929
13429
26429
311427
420925
532225
649425
764425
881025
997925
10119725
11129725
12130825
13132425
14132425
15121325

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
19.7b
Counts
3 → 2
Alt Table
StatusErrorProgram
20.2b
(fma.f64 a (/.f64 -1/3 b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
20.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 a (*.f64 b 3)))
Compiler

Compiled 138 to 101 computations (26.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (*.f64 z t) 3)
0.2b
(/.f64 a (*.f64 b 3))
0.2b
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
25.7b
(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

series76.0ms (0.4%)

Counts
4 → 120
Calls

4 calls:

53.0ms
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
10.0ms
(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
7.0ms
(/.f64 (*.f64 z t) 3)
6.0ms
(/.f64 a (*.f64 b 3))

rewrite32.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
29×cos-sum_binary64
24×*-un-lft-identity_binary64
24×add-sqr-sqrt_binary64
24×add-cube-cbrt_binary64
21×prod-diff_binary64
Counts
4 → 107
Calls

4 calls:

12.0ms
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
7.0ms
(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
3.0ms
(/.f64 (*.f64 z t) 3)
3.0ms
(/.f64 a (*.f64 b 3))

simplify189.0ms (1%)

Algorithm
egg-herbie
Rules
544×fma-def_binary64
441×cancel-sign-sub-inv_binary64
355×times-frac_binary64
315×fma-neg_binary64
307×associate-*l*_binary64
Counts
227 → 197
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04295768
18454618
225064006
347133886
449833886
548423886

prune674.0ms (3.7%)

Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New17324197
Fresh011
Picked101
Done000
Total17425199
Error
12.8b
Counts
199 → 25
Alt Table
StatusErrorProgram
35.3b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (sqrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (sqrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
20.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
20.2b
(fma.f64 a (/.f64 -1/3 b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
20.2b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
26.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (expm1.f64 (log1p.f64 (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
20.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3))))) (*.f64 (sin.f64 y) (sin.f64 (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
20.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 (/.f64 a b) 3))
20.2b
(-.f64 (*.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))) (/.f64 a (*.f64 b 3)))
19.9b
(-.f64 (+.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (/.f64 (*.f64 z t) 3))) (*.f64 2 (sqrt.f64 x))) (*.f64 (*.f64 (sin.f64 y) (sin.f64 (/.f64 (*.f64 z t) 3))) (*.f64 2 (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
20.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3)))))) (*.f64 (sin.f64 y) (sin.f64 (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
27.8b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (*.f64 (/.f64 1 3) (*.f64 z t))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (*.f64 z t) (*.f64 (/.f64 1 3) (*.f64 z t))))) (*.f64 (sin.f64 (fma.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (*.f64 (/.f64 1 3) (*.f64 z t))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (*.f64 z t) (*.f64 (/.f64 1 3) (*.f64 z t))))))) (/.f64 a (*.f64 b 3)))
20.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 1 (/.f64 3 (/.f64 a b))))
35.3b
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))) (sqrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
16.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
28.6b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 2 2) 2) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 (*.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
36.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3))))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3))))))) (/.f64 a (*.f64 b 3)))
28.5b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
20.3b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
20.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3))) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3))) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))))) (/.f64 a (*.f64 b 3)))
20.2b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 (/.f64 z (sqrt.f64 3)) (/.f64 t (sqrt.f64 3)))))) (/.f64 a (*.f64 b 3)))
19.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (neg.f64 (*.f64 z t)) (/.f64 1 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (neg.f64 (*.f64 z t)) (/.f64 1 3)))))) (/.f64 a (*.f64 b 3)))
20.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (neg.f64 (/.f64 z 1)) (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (neg.f64 (/.f64 z 1)) (/.f64 t 3)))))) (/.f64 a (*.f64 b 3)))
19.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (/.f64 (*.f64 z t) 3))))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))) (/.f64 a (*.f64 b 3)))
20.4b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
18.7b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
Compiler

Compiled 9655 to 6195 computations (35.8% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
0.2b
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
0.2b
(/.f64 a (*.f64 b 3))

series57.0ms (0.3%)

Counts
2 → 49
Calls

2 calls:

40.0ms
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
17.0ms
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))

rewrite15.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
cancel-sign-sub-inv_binary64
prod-diff_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
Counts
2 → 48
Calls

2 calls:

8.0ms
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
5.0ms
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))

simplify91.0ms (0.5%)

Algorithm
egg-herbie
Rules
754×fma-neg_binary64
651×fma-def_binary64
358×*-commutative_binary64
307×associate-*l/_binary64
253×associate-*r/_binary64
Counts
97 → 86
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01641861
14291652
214161562
342591558
448111558

prune407.0ms (2.2%)

Pruning

30 alts after pruning (30 fresh and 0 done)

PrunedKeptTotal
New11011121
Fresh51924
Picked101
Done000
Total11630146
Error
12.6b
Counts
146 → 30
Alt Table
StatusErrorProgram
35.3b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (sqrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (sqrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
20.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
20.2b
(fma.f64 a (/.f64 -1/3 b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
20.2b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
31.2b
(-.f64 (exp.f64 (log.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
19.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (neg.f64 (*.f64 z t)) (/.f64 1 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (neg.f64 (*.f64 z t)) (/.f64 1 3)))))) (/.f64 a (*.f64 b 3)))
21.4b
(-.f64 (expm1.f64 (log1p.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
20.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (neg.f64 (/.f64 z 1)) (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (neg.f64 (/.f64 z 1)) (/.f64 t 3)))))) (/.f64 a (*.f64 b 3)))
30.8b
(/.f64 (-.f64 (*.f64 x (*.f64 4 (*.f64 (cos.f64 y) (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 a b) 1/3)) 6)) (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) 1/3)))
26.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (expm1.f64 (log1p.f64 (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
33.3b
(*.f64 -1/3 (/.f64 a b))
20.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3))))) (*.f64 (sin.f64 y) (sin.f64 (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
16.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
16.7b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
20.2b
(-.f64 (*.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))) (/.f64 a (*.f64 b 3)))
19.9b
(-.f64 (+.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (/.f64 (*.f64 z t) 3))) (*.f64 2 (sqrt.f64 x))) (*.f64 (*.f64 (sin.f64 y) (sin.f64 (/.f64 (*.f64 z t) 3))) (*.f64 2 (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
20.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3)))))) (*.f64 (sin.f64 y) (sin.f64 (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
27.8b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (*.f64 (/.f64 1 3) (*.f64 z t))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (*.f64 z t) (*.f64 (/.f64 1 3) (*.f64 z t))))) (*.f64 (sin.f64 (fma.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (*.f64 (/.f64 1 3) (*.f64 z t))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (*.f64 z t) (*.f64 (/.f64 1 3) (*.f64 z t))))))) (/.f64 a (*.f64 b 3)))
16.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
62.2b
(log.f64 (exp.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))))
28.6b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 2 2) 2) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 (*.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
36.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3))))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3))))))) (/.f64 a (*.f64 b 3)))
30.5b
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))) (sqrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
18.7b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
20.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3))) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3))) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))))) (/.f64 a (*.f64 b 3)))
20.2b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 (/.f64 z (sqrt.f64 3)) (/.f64 t (sqrt.f64 3)))))) (/.f64 a (*.f64 b 3)))
24.6b
(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 a (*.f64 b 3)))
19.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (/.f64 (*.f64 z t) 3))))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))) (/.f64 a (*.f64 b 3)))
26.4b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
20.3b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
Compiler

Compiled 5266 to 3406 computations (35.3% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
0.2b
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
0.2b
(/.f64 (/.f64 a b) 3)

series46.0ms (0.3%)

Counts
2 → 61
Calls

2 calls:

36.0ms
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
10.0ms
(/.f64 (/.f64 a b) 3)

rewrite41.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
207×times-frac_binary64
114×*-un-lft-identity_binary64
114×add-sqr-sqrt_binary64
114×add-cube-cbrt_binary64
43×cancel-sign-sub-inv_binary64
Counts
2 → 172
Calls

2 calls:

14.0ms
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
4.0ms
(/.f64 (/.f64 a b) 3)

simplify162.0ms (0.9%)

Algorithm
egg-herbie
Rules
624×fma-def_binary64
546×associate-*r/_binary64
407×associate-*l/_binary64
222×distribute-neg-frac_binary64
201×associate-/l*_binary64
Counts
233 → 278
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04767435
114175665
247115659
351525659

prune788.0ms (4.3%)

Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New3112313
Fresh22729
Picked101
Done000
Total31429343
Error
12.6b
Counts
343 → 29
Alt Table
StatusErrorProgram
35.3b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (sqrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (sqrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
20.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
20.2b
(fma.f64 a (/.f64 -1/3 b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
20.2b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
31.2b
(-.f64 (exp.f64 (log.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
19.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (neg.f64 (*.f64 z t)) (/.f64 1 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (neg.f64 (*.f64 z t)) (/.f64 1 3)))))) (/.f64 a (*.f64 b 3)))
21.4b
(-.f64 (expm1.f64 (log1p.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
20.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (neg.f64 (/.f64 z 1)) (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (neg.f64 (/.f64 z 1)) (/.f64 t 3)))))) (/.f64 a (*.f64 b 3)))
30.8b
(/.f64 (-.f64 (*.f64 x (*.f64 4 (*.f64 (cos.f64 y) (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 a b) 1/3)) 6)) (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) 1/3)))
26.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (expm1.f64 (log1p.f64 (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
33.3b
(*.f64 -1/3 (/.f64 a b))
20.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3))))) (*.f64 (sin.f64 y) (sin.f64 (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
16.7b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
20.2b
(-.f64 (*.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))) (/.f64 a (*.f64 b 3)))
19.9b
(-.f64 (+.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (/.f64 (*.f64 z t) 3))) (*.f64 2 (sqrt.f64 x))) (*.f64 (*.f64 (sin.f64 y) (sin.f64 (/.f64 (*.f64 z t) 3))) (*.f64 2 (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
20.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3)))))) (*.f64 (sin.f64 y) (sin.f64 (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
27.8b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (*.f64 (/.f64 1 3) (*.f64 z t))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (*.f64 z t) (*.f64 (/.f64 1 3) (*.f64 z t))))) (*.f64 (sin.f64 (fma.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (*.f64 (/.f64 1 3) (*.f64 z t))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (*.f64 z t) (*.f64 (/.f64 1 3) (*.f64 z t))))))) (/.f64 a (*.f64 b 3)))
24.6b
(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a b) 3))
28.6b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 2 2) 2) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 (*.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
36.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3))))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3))))))) (/.f64 a (*.f64 b 3)))
26.4b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
16.8b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 (sqrt.f64 3)) (/.f64 (/.f64 a b) (sqrt.f64 3))))
30.5b
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))) (sqrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
18.7b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
20.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3))) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3))) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))))) (/.f64 a (*.f64 b 3)))
20.2b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 (/.f64 z (sqrt.f64 3)) (/.f64 t (sqrt.f64 3)))))) (/.f64 a (*.f64 b 3)))
62.2b
(log.f64 (exp.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))))
19.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (/.f64 (*.f64 z t) 3))))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))) (/.f64 a (*.f64 b 3)))
20.3b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
Compiler

Compiled 11790 to 6555 computations (44.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 a (*.f64 b 3))
0.3b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))))
0.5b
(*.f64 (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))))
0.5b
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))

series1.4s (7.4%)

Counts
3 → 52
Calls

3 calls:

683.0ms
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
652.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))))
28.0ms
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))))

rewrite26.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
29×pow1_binary64
16×pow1/3_binary64
11×pow-prod-up_binary64
11×add-sqr-sqrt_binary64
10×add-exp-log_binary64
Counts
3 → 79
Calls

3 calls:

10.0ms
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))))
5.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))))
3.0ms
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))

simplify90.0ms (0.5%)

Algorithm
egg-herbie
Rules
758×fma-neg_binary64
608×unswap-sqr_binary64
446×*-commutative_binary64
361×fma-def_binary64
278×cancel-sign-sub-inv_binary64
Counts
131 → 139
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01492762
13642420
212662108
329811978
450571978

prune731.0ms (4%)

Pruning

35 alts after pruning (35 fresh and 0 done)

PrunedKeptTotal
New21810228
Fresh32528
Picked101
Done000
Total22235257
Error
12.6b
Counts
257 → 35
Alt Table
StatusErrorProgram
35.3b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (sqrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (sqrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
16.6b
(-.f64 (*.f64 (cbrt.f64 (*.f64 4 (*.f64 x (pow.f64 (cos.f64 y) 2)))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
20.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
20.2b
(fma.f64 a (/.f64 -1/3 b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
20.2b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
20.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3))) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3))) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))))) (/.f64 a (*.f64 b 3)))
24.9b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (*.f64 (cbrt.f64 2) (pow.f64 x 1/6))) (/.f64 a (*.f64 b 3)))
16.7b
(-.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 2 (sqrt.f64 x))) (cbrt.f64 (*.f64 2 (sqrt.f64 x)))) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
36.1b
(-.f64 (pow.f64 (*.f64 8 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 3)) 1/3) (/.f64 a (*.f64 b 3)))
20.2b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 (/.f64 z (sqrt.f64 3)) (/.f64 t (sqrt.f64 3)))))) (/.f64 a (*.f64 b 3)))
31.2b
(-.f64 (exp.f64 (log.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
17.0b
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))) 8) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
19.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (neg.f64 (*.f64 z t)) (/.f64 1 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (neg.f64 (*.f64 z t)) (/.f64 1 3)))))) (/.f64 a (*.f64 b 3)))
20.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (neg.f64 (/.f64 z 1)) (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (neg.f64 (/.f64 z 1)) (/.f64 t 3)))))) (/.f64 a (*.f64 b 3)))
17.5b
(-.f64 (*.f64 (pow.f64 (*.f64 4 (*.f64 x (pow.f64 (cos.f64 y) 2))) 1/3) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
30.8b
(/.f64 (-.f64 (*.f64 x (*.f64 4 (*.f64 (cos.f64 y) (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 a b) 1/3)) 6)) (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) 1/3)))
31.2b
(-.f64 (exp.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))))) (log.f64 (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))))) (/.f64 a (*.f64 b 3)))
26.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (expm1.f64 (log1p.f64 (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
33.3b
(*.f64 -1/3 (/.f64 a b))
20.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3))))) (*.f64 (sin.f64 y) (sin.f64 (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
19.9b
(-.f64 (+.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (/.f64 (*.f64 z t) 3))) (*.f64 2 (sqrt.f64 x))) (*.f64 (*.f64 (sin.f64 y) (sin.f64 (/.f64 (*.f64 z t) 3))) (*.f64 2 (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
20.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3)))))) (*.f64 (sin.f64 y) (sin.f64 (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
27.8b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (*.f64 (/.f64 1 3) (*.f64 z t))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (*.f64 z t) (*.f64 (/.f64 1 3) (*.f64 z t))))) (*.f64 (sin.f64 (fma.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (*.f64 (/.f64 1 3) (*.f64 z t))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (*.f64 z t) (*.f64 (/.f64 1 3) (*.f64 z t))))))) (/.f64 a (*.f64 b 3)))
24.6b
(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a b) 3))
19.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (/.f64 (*.f64 z t) 3))))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))) (/.f64 a (*.f64 b 3)))
17.5b
(-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 1/3 (+.f64 (log.f64 x) (log.f64 (pow.f64 (cos.f64 y) 2))))) (pow.f64 (cbrt.f64 2) 2)) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
26.4b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
16.8b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 (sqrt.f64 3)) (/.f64 (/.f64 a b) (sqrt.f64 3))))
16.9b
(-.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))) 6)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))) 6))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))) 6))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
18.7b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
16.8b
(-.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))))) (cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
20.3b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
20.2b
(-.f64 (*.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))) (/.f64 a (*.f64 b 3)))
62.2b
(log.f64 (exp.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))))
28.6b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 2 2) 2) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 (*.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
Compiler

Compiled 9889 to 6210 computations (37.2% saved)

regimes6.4s (34.8%)

Accuracy

Total 3.2b remaining (19.9%)

Threshold costs 0b (0%)

Counts
191 → 3
Compiler

Compiled 141284 to 103826 computations (26.5% saved)

bsearch10.0ms (0.1%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
20×*-commutative_binary64
13×+-commutative_binary64
13×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049170
181170
2107170
3123170
4132170
5134170
6133170

end1.0s (5.6%)

Compiler

Compiled 2097 to 1514 computations (27.8% saved)

Profiling

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