Details

Time bar (total: 8.6s)

analyze54.0ms (0.6%)

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)

sample136.0ms (1.6%)

Algorithm
1×intervals
Results
58.0ms66×body2048valid
54.0ms125×body1024valid
10.0ms43×body512valid
2.0ms16×body256valid
0.0ms6×body128valid
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify16.0ms (0.2%)

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 → 0
Iterations

Useful iterations: 0 (0.0ms)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
38.4b
Counts
1 → 1
Alt Table
StatusErrorProgram
▶38.4b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.6b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
3.0b
(cos.f64 (+.f64 x eps))

rewrite102.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Error
16.7b
Rules
20×add-cube-cbrt_binary64
10×add-sqr-sqrt_binary64
9×cos-sum_binary64
8×add-log-exp_binary64
8×pow1_binary64
Counts
2 → 85
Calls

2 calls:

17.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
13.0ms
(cos.f64 (+.f64 x eps))
Compiler

Compiled 1615 to 274 computations (83% saved)

series47.0ms (0.5%)

Error
13.6b
Counts
2 → 23
Calls

2 calls:

17.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
12.0ms
(cos.f64 (+.f64 x eps))
Compiler

Compiled 691 to 426 computations (38.4% saved)

simplify141.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
729×associate-*l*_binary64
610×fma-def_binary64
403×sub-neg_binary64
329×cancel-sign-sub-inv_binary64
222×unswap-sqr_binary64
Counts
108 → 63
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01651602
14371582
213531520
340331499
448561493
549971493
648161493

prune52.0ms (0.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New55863
Fresh000
Picked101
Done000
Total56864
Error
0.3b
Counts
64 → 8
Alt Table
StatusErrorProgram
23.9b
(-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (fma.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (cos.f64 x))) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))) (cos.f64 x))
23.7b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
38.5b
(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3)) (cos.f64 x))
▶14.8b
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) -2) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2)))
38.5b
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (cos.f64 (+.f64 eps x)) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))))
38.5b
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3))
23.7b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))) (cos.f64 x))
31.6b
(fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) -1/2))))
Compiler

Compiled 1337 to 487 computations (63.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (sin.f64 (/.f64 eps 2)) -2)
0.0b
(+.f64 (+.f64 x eps) x)
0.3b
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) -2) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2)))
3.2b
(sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))

rewrite167.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Error
0.2b
Rules
35×pow1_binary64
24×add-sqr-sqrt_binary64
21×add-cube-cbrt_binary64
18×add-exp-log_binary64
16×add-cbrt-cube_binary64
Counts
4 → 143
Calls

4 calls:

19.0ms
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) -2) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2)))
15.0ms
(+.f64 (+.f64 x eps) x)
13.0ms
(*.f64 (sin.f64 (/.f64 eps 2)) -2)
12.0ms
(sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))
Compiler

Compiled 2594 to 1595 computations (38.5% saved)

series92.0ms (1.1%)

Error
0.3b
Counts
4 → 40
Calls

4 calls:

30.0ms
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) -2) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2)))
16.0ms
(sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))
15.0ms
(+.f64 (+.f64 x eps) x)
6.0ms
(*.f64 (sin.f64 (/.f64 eps 2)) -2)
Compiler

Compiled 1566 to 1220 computations (22.1% saved)

simplify192.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
696×fma-def_binary64
611×fma-neg_binary64
346×cancel-sign-sub-inv_binary64
268×times-frac_binary64
225×distribute-rgt-in_binary64
Counts
183 → 116
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02082655
15092351
216802140
344412124
449472124
548572124

prune106.0ms (1.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New10412116
Fresh437
Picked101
Done000
Total10915124
Error
0.2b
Counts
124 → 15
Alt Table
StatusErrorProgram
23.7b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))) (cos.f64 x))
36.1b
(*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2)))) (sqrt.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))))) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2)))
15.4b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2)))) (cbrt.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))))) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2)))
▶14.8b
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))))
27.5b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))) 3)) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2)))
30.5b
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (fma.f64 x x -2) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2)))
15.4b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) (*.f64 -2 (sin.f64 (/.f64 eps 2)))) (cbrt.f64 (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))))
23.8b
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) -2) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) 1))
47.7b
(*.f64 (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))) (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))))
23.7b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
23.9b
(-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (fma.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (cos.f64 x))) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))) (cos.f64 x))
15.5b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2)))))) (cbrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))))
31.6b
(fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) -1/2)))
23.8b
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) -2) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))
44.8b
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) -2) (exp.f64 (log.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))
Compiler

Compiled 2510 to 1844 computations (26.5% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(expm1.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2)))))
0.2b
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))))
0.3b
(*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))
3.2b
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

rewrite168.0ms (2%)

Algorithm
1×rewrite-expression-head
Error
0.2b
Rules
28×pow1_binary64
20×add-sqr-sqrt_binary64
19×add-cube-cbrt_binary64
14×add-exp-log_binary64
14×add-cbrt-cube_binary64
Counts
4 → 125
Calls

4 calls:

22.0ms
(*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))
10.0ms
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
10.0ms
(expm1.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2)))))
8.0ms
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))))
Compiler

Compiled 2489 to 2060 computations (17.2% saved)

series175.0ms (2%)

Error
0.2b
Counts
4 → 39
Calls

4 calls:

60.0ms
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))))
47.0ms
(expm1.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2)))))
22.0ms
(*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))
14.0ms
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
Compiler

Compiled 2306 to 1828 computations (20.7% saved)

simplify119.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
317×associate-+l+_binary64
299×cancel-sign-sub-inv_binary64
232×fma-neg_binary64
221×associate-+r+_binary64
214×associate--l+_binary64
Counts
164 → 70
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02083525
15273161
217243089
347223089
449583089

prune83.0ms (1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New68270
Fresh11314
Picked011
Done000
Total691685
Error
0.2b
Counts
85 → 16
Alt Table
StatusErrorProgram
23.7b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))) (cos.f64 x))
36.1b
(*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2)))) (sqrt.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))))) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2)))
15.4b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2)))) (cbrt.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))))) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2)))
✓14.8b
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))))
27.5b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))) 3)) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2)))
30.5b
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (fma.f64 x x -2) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2)))
44.6b
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) (*.f64 -2 (sin.f64 (/.f64 eps 2))))))
23.8b
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) -2) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))
▶15.4b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) (*.f64 -2 (sin.f64 (/.f64 eps 2)))) (cbrt.f64 (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))))
23.8b
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) -2) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) 1))
47.7b
(*.f64 (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))) (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))))
23.7b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
23.9b
(-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (fma.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (cos.f64 x))) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))) (cos.f64 x))
15.5b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2)))))) (cbrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))))
30.0b
(log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))) 3)))
31.6b
(fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) -1/2)))
Compiler

Compiled 2125 to 1607 computations (24.4% saved)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))
3.2b
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
3.2b
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
3.2b
(sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))

rewrite161.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Error
0.2b
Rules
22×add-cube-cbrt_binary64
16×add-sqr-sqrt_binary64
14×pow1_binary64
12×log1p-expm1-u_binary64
12×expm1-log1p-u_binary64
Counts
4 → 114
Calls

4 calls:

14.0ms
(cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))
14.0ms
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
12.0ms
(sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))
11.0ms
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
Compiler

Compiled 3195 to 2302 computations (27.9% saved)

series166.0ms (1.9%)

Error
0.2b
Counts
4 → 46
Calls

4 calls:

53.0ms
(cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))
21.0ms
(sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))
21.0ms
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
21.0ms
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
Compiler

Compiled 4301 to 3268 computations (24% saved)

simplify88.0ms (1%)

Algorithm
1×egg-herbie
Rules
896×fma-neg_binary64
630×unswap-sqr_binary64
513×associate-*r*_binary64
482×associate-*l*_binary64
284×cancel-sign-sub-inv_binary64
Counts
160 → 88
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01362316
13292219
29231964
332561853
454111853

prune102.0ms (1.2%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New88088
Fresh01414
Picked011
Done011
Total8816104
Error
0.2b
Counts
104 → 16
Alt Table
StatusErrorProgram
23.7b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))) (cos.f64 x))
36.1b
(*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2)))) (sqrt.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))))) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2)))
15.4b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2)))) (cbrt.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))))) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2)))
14.8b
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))))
27.5b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))) 3)) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2)))
30.5b
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (fma.f64 x x -2) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2)))
44.6b
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) (*.f64 -2 (sin.f64 (/.f64 eps 2))))))
23.8b
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) -2) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))
15.4b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) (*.f64 -2 (sin.f64 (/.f64 eps 2)))) (cbrt.f64 (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))))
23.8b
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) -2) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) 1))
47.7b
(*.f64 (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))) (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))))
23.7b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
23.9b
(-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (fma.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (cos.f64 x))) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))) (cos.f64 x))
15.5b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2)))))) (cbrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))))
30.0b
(log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (*.f64 -2 (sin.f64 (/.f64 eps 2))))) 3)))
31.6b
(fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) -1/2)))
Compiler

Compiled 3285 to 2333 computations (29% saved)

regimes2.0s (22.9%)

Accuracy

Total 0.3b remaining (61.7%)

Threshold costs 0.3b (61.7%)

Compiler

Compiled 13136 to 9512 computations (27.6% saved)

bsearch110.0ms (1.3%)

Steps
ItersRangePoint
11
1.3556844781487358e-6
1.8391325032610354e+21
0.0023954047667611917
10
-934087.5488259362
-1.8989900153616647e-6
-0.0027141351705622318
Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
11×*-commutative_binary64
7×+-commutative_binary64
7×sub-neg_binary64
5×neg-sub0_binary64
5×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03376
15476
26876
37776
48176
58176

end1.0ms (0%)

Compiler

Compiled 51 to 32 computations (37.3% saved)

sample4.3s (49.7%)

Algorithm
1×intervals
Results
1.7s2046×body2048valid
1.6s3874×body1024valid
307.0ms1329×body512valid
77.0ms523×body256valid
18.0ms226×body128valid
6.0ms2×body4096valid
Compiler

Compiled 499 to 368 computations (26.3% saved)

Profiling

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