Details

Time bar (total: 8.8s)

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)

sample5.7s (64.7%)

Results
2.5s3957×body1024valid
2.4s2136×body2048valid
527.0ms1380×body512valid
187.0ms543×body256valid
34.0ms238×body128valid
5.0ms2×body4096valid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify11.0ms (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

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
42.5b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶42.5b
(-.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
✓0.8b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓3.5b
(cos.f64 (+.f64 x eps))

series14.0ms (0.2%)

Counts
2 → 48
Calls

2 calls:

9.0ms
(-.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))

simplify84.0ms (1%)

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

prune85.0ms (1%)

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
26.2b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
50.3b
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
42.7b
(/.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)))
42.5b
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3))
42.5b
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
42.6b
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 x))))
▶15.8b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
26.2b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
31.1b
(+.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)))
Compiler

Compiled 1855 to 656 computations (64.6% saved)

localize12.0ms (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)))
✓3.6b
(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))

series41.0ms (0.5%)

Counts
4 → 96
Calls

4 calls:

18.0ms
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
13.0ms
(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
6.0ms
(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))
3.0ms
(+.f64 x (+.f64 eps x))

rewrite32.0ms (0.4%)

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:

10.0ms
(*.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)))
6.0ms
(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))
4.0ms
(+.f64 x (+.f64 eps x))

simplify155.0ms (1.8%)

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

prune192.0ms (2.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New15212164
Fresh538
Picked101
Done000
Total15815173
Error
0.2b
Counts
173 → 15
Alt Table
StatusErrorProgram
23.2b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
42.7b
(/.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)))
26.2b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
15.7b
(*.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
34.4b
(*.f64 -2 (cbrt.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 eps 2))) (*.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))))))
30.9b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/8) 1) (sin.f64 x)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/48))))))
26.2b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
16.5b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3))))
46.1b
(*.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))))))
16.4b
(*.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))))))
35.8b
(*.f64 -2 (fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
41.6b
(*.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)))))
▶15.7b
(log1p.f64 (expm1.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
40.6b
(*.f64 -2 (*.f64 (sqrt.f64 (sin.f64 (/.f64 eps 2))) (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sqrt.f64 (sin.f64 (/.f64 eps 2))))))
16.4b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (*.f64 (*.f64 (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
Compiler

Compiled 4427 to 3099 computations (30% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(expm1.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))
✓0.2b
(log1p.f64 (expm1.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
✓0.3b
(*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))
✓3.6b
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

series67.0ms (0.8%)

Counts
4 → 96
Calls

4 calls:

33.0ms
(expm1.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))
17.0ms
(log1p.f64 (expm1.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
12.0ms
(*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))
5.0ms
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

rewrite10.0ms (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 → 52
Calls

4 calls:

5.0ms
(*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))
2.0ms
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
0.0ms
(expm1.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))
0.0ms
(log1p.f64 (expm1.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))

simplify143.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
784×fma-neg_binary64
631×cancel-sign-sub-inv_binary64
284×associate-*r*_binary64
252×distribute-rgt-neg-in_binary64
236×distribute-lft-neg-in_binary64
Counts
148 → 128
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02263905
16593616
223373510
344053496
449683496
549683496

prune174.0ms (2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1271128
Fresh01414
Picked101
Done000
Total12815143
Error
0.2b
Counts
143 → 15
Alt Table
StatusErrorProgram
23.2b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
34.3b
(log1p.f64 (cbrt.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (expm1.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))) (expm1.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))))
42.7b
(/.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)))
26.2b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
▶15.7b
(*.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
34.4b
(*.f64 -2 (cbrt.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 eps 2))) (*.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))))))
30.9b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/8) 1) (sin.f64 x)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/48))))))
26.2b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
16.5b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3))))
46.1b
(*.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))))))
16.4b
(*.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))))))
35.8b
(*.f64 -2 (fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
41.6b
(*.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)))))
40.6b
(*.f64 -2 (*.f64 (sqrt.f64 (sin.f64 (/.f64 eps 2))) (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sqrt.f64 (sin.f64 (/.f64 eps 2))))))
16.4b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (*.f64 (*.f64 (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
Compiler

Compiled 4467 to 3418 computations (23.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sin.f64 (/.f64 eps 2))
0.0b
(+.f64 x (+.f64 eps x))
✓0.3b
(*.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
3.6b
(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))

series22.0ms (0.3%)

Counts
2 → 36
Calls

2 calls:

20.0ms
(*.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
2.0ms
(sin.f64 (/.f64 eps 2))

rewrite12.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
7×add-cbrt-cube_binary64
7×add-exp-log_binary64
7×pow1_binary64
3×associate-*r*_binary64
3×*-un-lft-identity_binary64
Counts
2 → 29
Calls

2 calls:

9.0ms
(*.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
2.0ms
(sin.f64 (/.f64 eps 2))

simplify132.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
553×fma-neg_binary64
408×sub-neg_binary64
387×cancel-sign-sub-inv_binary64
349×*-commutative_binary64
286×distribute-rgt-neg-in_binary64
Counts
65 → 68
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01211472
13121272
29351165
318091144
432621140
544391140
648131140
749471140
848381140

prune157.0ms (1.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1330133
Fresh01414
Picked011
Done000
Total13315148
Error
0.2b
Counts
148 → 15
Alt Table
StatusErrorProgram
23.2b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
34.3b
(log1p.f64 (cbrt.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (expm1.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))) (expm1.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))))
42.7b
(/.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)))
26.2b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
✓15.7b
(*.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
34.4b
(*.f64 -2 (cbrt.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 eps 2))) (*.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))))))
30.9b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/8) 1) (sin.f64 x)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/48))))))
26.2b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
16.5b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3))))
46.1b
(*.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))))))
16.4b
(*.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))))))
35.8b
(*.f64 -2 (fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
41.6b
(*.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)))))
40.6b
(*.f64 -2 (*.f64 (sqrt.f64 (sin.f64 (/.f64 eps 2))) (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sqrt.f64 (sin.f64 (/.f64 eps 2))))))
16.4b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (*.f64 (*.f64 (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
Compiler

Compiled 3247 to 2235 computations (31.2% saved)

regimes1.3s (14.8%)

Accuracy

Total 0.3b remaining (61.6%)

Threshold costs 0.3b (61.6%)

Counts
209 → 3
Compiler

Compiled 12643 to 9280 computations (26.6% saved)

bsearch103.0ms (1.2%)

Steps
ItersRangePoint
9
1.3590822255356844e-5
15538.016200043478
0.003535501464615805
7
-0.004348006495541241
-0.00010254809672089107
-0.0034224773079427465
Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
041102
160102
271102
387102
497102
5103102
6105102
7104102

end310.0ms (3.5%)

Compiler

Compiled 569 to 406 computations (28.6% saved)

Profiling

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