Details

Time bar (total: 10.4s)

analyze1.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1
Compiler

Compiled 10 to 7 computations (30% saved)

sample5.1s (49.5%)

Results
2.3s4059×body1024valid
2.1s2078×body2048valid
473.0ms1394×body512valid
118.0ms476×body256valid
33.0ms246×body128valid
8.0ms3×body4096valid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
14×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11011
21511
32211
42911
54611
67211
79311
811011
912011
1012411
1112611
1211211

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
42.3b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶42.3b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1.0b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓3.9b
(cos.f64 (+.f64 x eps))

series11.0ms (0.1%)

Counts
2 → 48
Calls

2 calls:

6.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
5.0ms
(cos.f64 (+.f64 x eps))

rewrite11.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
12×*-un-lft-identity_binary64
12×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
9×prod-diff_binary64
4×add-log-exp_binary64
Counts
2 → 42
Calls

2 calls:

6.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
3.0ms
(cos.f64 (+.f64 x eps))

simplify83.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
757×fma-neg_binary64
498×cancel-sign-sub-inv_binary64
477×fma-def_binary64
311×sub-neg_binary64
244×distribute-rgt-in_binary64
Counts
90 → 92
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01341274
13091207
29651144
323731120
445221120
548381120

prune83.0ms (0.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New83992
Fresh000
Picked101
Done000
Total84993
Error
0.3b
Counts
93 → 9
Alt Table
StatusErrorProgram
29.6b
(+.f64 (*.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 (*.f64 eps eps) -1/2))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
27.4b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
27.4b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
29.4b
(neg.f64 (fma.f64 eps (sin.f64 x) (*.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)))))
▶14.7b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
48.6b
(*.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))))
42.3b
(/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
42.3b
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (cos.f64 (+.f64 eps x)) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
27.4b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
Compiler

Compiled 1919 to 676 computations (64.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
✓0.0b
(+.f64 x (+.f64 eps x))
✓0.3b
(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
✓4.0b
(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))

series36.0ms (0.3%)

Counts
4 → 96
Calls

4 calls:

16.0ms
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
11.0ms
(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
5.0ms
(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))
3.0ms
(+.f64 x (+.f64 eps x))

rewrite30.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
13×*-un-lft-identity_binary64
11×add-cbrt-cube_binary64
11×add-exp-log_binary64
11×pow1_binary64
10×add-sqr-sqrt_binary64
Counts
4 → 71
Calls

4 calls:

8.0ms
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
8.0ms
(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
5.0ms
(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))
5.0ms
(+.f64 x (+.f64 eps x))

simplify145.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
549×fma-def_binary64
428×*-commutative_binary64
417×cancel-sign-sub-inv_binary64
354×sub-neg_binary64
330×distribute-rgt-neg-in_binary64
Counts
167 → 164
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01843349
15002908
215282564
336862549
447102549
549852549
649252549

prune247.0ms (2.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New15410164
Fresh268
Picked101
Done000
Total15716173
Error
0.2b
Counts
173 → 16
Alt Table
StatusErrorProgram
29.6b
(+.f64 (*.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 (*.f64 eps eps) -1/2))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
15.5b
(*.f64 -2 (*.f64 (*.f64 (cbrt.f64 (sin.f64 (/.f64 eps 2))) (cbrt.f64 (sin.f64 (/.f64 eps 2)))) (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (cbrt.f64 (sin.f64 (/.f64 eps 2))))))
27.4b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
46.3b
(*.f64 (sqrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (sqrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
16.7b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))))
27.4b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
28.5b
(*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))) (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
29.3b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (-.f64 (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))))
42.3b
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (cos.f64 (+.f64 eps x)) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
39.7b
(*.f64 -2 (*.f64 (*.f64 (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (sin.f64 (/.f64 eps 2))) (sqrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))))
15.4b
(*.f64 (*.f64 (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
25.6b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
32.0b
(*.f64 -2 (+.f64 (*.f64 x (*.f64 x (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))))))
48.6b
(*.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))))
▶14.7b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
27.4b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
Compiler

Compiled 4505 to 3133 computations (30.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))
✓0.3b
(log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))
✓0.3b
(*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))
✓3.9b
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

series32.0ms (0.3%)

Counts
4 → 96
Calls

4 calls:

12.0ms
(*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))
11.0ms
(expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))
4.0ms
(log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))
4.0ms
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

rewrite8.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64
6×*-un-lft-identity_binary64
6×add-cube-cbrt_binary64
6×add-cbrt-cube_binary64
6×add-exp-log_binary64
Counts
4 → 51
Calls

4 calls:

4.0ms
(*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))
2.0ms
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
0.0ms
(expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))
0.0ms
(log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))

simplify101.0ms (1%)

Algorithm
1×egg-herbie
Rules
664×sub-neg_binary64
501×*-commutative_binary64
472×cancel-sign-sub-inv_binary64
261×associate--l+_binary64
258×associate--r+_binary64
Counts
147 → 115
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01882948
15112724
217092620
343862620
450942620

prune191.0ms (1.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1150115
Fresh01515
Picked011
Done000
Total11516131
Error
0.2b
Counts
131 → 16
Alt Table
StatusErrorProgram
29.6b
(+.f64 (*.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 (*.f64 eps eps) -1/2))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
15.5b
(*.f64 -2 (*.f64 (*.f64 (cbrt.f64 (sin.f64 (/.f64 eps 2))) (cbrt.f64 (sin.f64 (/.f64 eps 2)))) (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (cbrt.f64 (sin.f64 (/.f64 eps 2))))))
27.4b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
46.3b
(*.f64 (sqrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (sqrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
16.7b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))))
27.4b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
28.5b
(*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))) (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
29.3b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (-.f64 (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))))
42.3b
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (cos.f64 (+.f64 eps x)) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
39.7b
(*.f64 -2 (*.f64 (*.f64 (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (sin.f64 (/.f64 eps 2))) (sqrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))))
▶15.4b
(*.f64 (*.f64 (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
25.6b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
32.0b
(*.f64 -2 (+.f64 (*.f64 x (*.f64 x (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))))))
48.6b
(*.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))))
✓14.7b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
27.4b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
Compiler

Compiled 3949 to 2970 computations (24.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (*.f64 (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
✓0.5b
(*.f64 (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
3.9b
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
✓4.6b
(cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))

series1.4s (13.8%)

Counts
3 → 72
Calls

3 calls:

856.0ms
(*.f64 (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
496.0ms
(cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))
77.0ms
(*.f64 (*.f64 (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))

rewrite29.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
29×pow1_binary64
21×associate-*r/_binary64
17×cbrt-div_binary64
17×sin-mult_binary64
16×pow1/3_binary64
Counts
3 → 90
Calls

3 calls:

10.0ms
(*.f64 (*.f64 (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
5.0ms
(*.f64 (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
4.0ms
(cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))

simplify138.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
762×fma-def_binary64
684×cancel-sign-sub-inv_binary64
425×associate-*r*_binary64
360×associate-*l*_binary64
306×unswap-sqr_binary64
Counts
162 → 183
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02976825
18156382
230705871
355595871

prune560.0ms (5.4%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New3362338
Fresh01414
Picked011
Done011
Total33618354
Error
0.2b
Counts
354 → 18
Alt Table
StatusErrorProgram
16.0b
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 2 x eps) 2)) (sin.f64 (/.f64 eps 2)))))) 6) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 2 x eps) 2)) (sin.f64 (/.f64 eps 2))))))
29.6b
(+.f64 (*.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 (*.f64 eps eps) -1/2))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
15.5b
(*.f64 -2 (*.f64 (*.f64 (cbrt.f64 (sin.f64 (/.f64 eps 2))) (cbrt.f64 (sin.f64 (/.f64 eps 2)))) (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (cbrt.f64 (sin.f64 (/.f64 eps 2))))))
27.4b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
46.3b
(*.f64 (sqrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (sqrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
16.7b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))))
27.4b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
28.5b
(*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))) (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
31.5b
(*.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 2)))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
25.6b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
29.3b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (-.f64 (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))))
42.3b
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (cos.f64 (+.f64 eps x)) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
39.7b
(*.f64 -2 (*.f64 (*.f64 (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (sin.f64 (/.f64 eps 2))) (sqrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))))
✓15.4b
(*.f64 (*.f64 (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
32.0b
(*.f64 -2 (+.f64 (*.f64 x (*.f64 x (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))))))
48.6b
(*.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))))
✓14.7b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
27.4b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
Compiler

Compiled 20687 to 16434 computations (20.6% saved)

regimes1.6s (15.2%)

Accuracy

Total 0.3b remaining (61.7%)

Threshold costs 0.3b (61.7%)

Counts
220 → 3
Compiler

Compiled 14237 to 10535 computations (26% saved)

bsearch103.0ms (1%)

Steps
ItersRangePoint
6
0.0009507961391347643
0.01034996365816025
0.002525349589805082
11
-16022758.512664964
-7.0178891848139565e-22
-0.002995313784217456
Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
12×+-commutative_binary64
12×*-commutative_binary64
10×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03594
15494
27594
38994
49694
59794
69794

end364.0ms (3.5%)

Compiler

Compiled 641 to 448 computations (30.1% saved)

Profiling

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