Details

Time bar (total: 9.0s)

analyze2.0ms (0%)

Algorithm
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 (57%)

Results
2.5s3646×body1024valid
1.6s1257×body2048valid
556.0ms1396×body512valid
193.0ms1317×body128valid
175.0ms638×body256valid
7.0msbody4096valid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify11.0ms (0.1%)

Algorithm
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
38.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
38.1b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.3b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
1.9b
(sin.f64 (+.f64 x eps))

series11.0ms (0.1%)

Counts
2 → 48
Calls

2 calls:

7.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms
(sin.f64 (+.f64 x eps))

rewrite10.0ms (0.1%)

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

2 calls:

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

simplify98.0ms (1.1%)

Algorithm
egg-herbie
Rules
639×fma-neg_binary64
483×fma-def_binary64
351×cancel-sign-sub-inv_binary64
291×sub-neg_binary64
284×associate-+l-_binary64
Counts
90 → 92
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01281256
12971180
29601116
324261108
447761108
549531108
648391108

prune73.0ms (0.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New89392
Fresh000
Picked101
Done000
Total90393
Error
0.2b
Counts
93 → 3
Alt Table
StatusErrorProgram
30.3b
(-.f64 (*.f64 eps (cos.f64 x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
24.3b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
24.3b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
Compiler

Compiled 1665 to 509 computations (69.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
0.2b
(*.f64 (sin.f64 x) (cos.f64 eps))
0.2b
(*.f64 (cos.f64 x) (sin.f64 eps))
3.3b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))

series83.0ms (0.9%)

Counts
4 → 64
Calls

4 calls:

41.0ms
(*.f64 (cos.f64 x) (sin.f64 eps))
20.0ms
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
11.0ms
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
10.0ms
(*.f64 (sin.f64 x) (cos.f64 eps))

rewrite26.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64
12×*-un-lft-identity_binary64
12×add-cube-cbrt_binary64
11×add-log-exp_binary64
add-cbrt-cube_binary64
Counts
4 → 86
Calls

4 calls:

8.0ms
(*.f64 (cos.f64 x) (sin.f64 eps))
8.0ms
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
4.0ms
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
3.0ms
(*.f64 (sin.f64 x) (cos.f64 eps))

simplify116.0ms (1.3%)

Algorithm
egg-herbie
Rules
1032×fma-neg_binary64
429×distribute-rgt-in_binary64
243×associate-*r*_binary64
235×associate-*l*_binary64
225×distribute-rgt-neg-in_binary64
Counts
150 → 192
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02422802
16442630
223702544
347652537
452462537

prune189.0ms (2.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New18210192
Fresh112
Picked101
Done000
Total18411195
Error
0.1b
Counts
195 → 11
Alt Table
StatusErrorProgram
30.3b
(-.f64 (*.f64 eps (cos.f64 x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
24.6b
(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))))))
0.6b
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
24.3b
(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (neg.f64 (sin.f64 x)))
21.3b
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 3))
24.8b
(+.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))))))
24.3b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
26.7b
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))))
28.4b
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))))))
33.9b
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
24.4b
(+.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (cbrt.f64 (cos.f64 eps)) (cbrt.f64 (cos.f64 eps)))) (cbrt.f64 (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
Compiler

Compiled 5008 to 1417 computations (71.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.2b
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
2.7b
(+.f64 (cos.f64 eps) -1)

series72.0ms (0.8%)

Counts
4 → 84
Calls

4 calls:

34.0ms
(expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
17.0ms
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
17.0ms
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
4.0ms
(+.f64 (cos.f64 eps) -1)

rewrite6.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-log-exp_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
log1p-expm1-u_binary64
Counts
4 → 50
Calls

4 calls:

3.0ms
(+.f64 (cos.f64 eps) -1)
0.0ms
(expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
0.0ms
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.0ms
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))

simplify105.0ms (1.2%)

Algorithm
egg-herbie
Rules
535×cancel-sign-sub-inv_binary64
511×sub-neg_binary64
470×associate--l+_binary64
245×fma-def_binary64
212×fma-neg_binary64
Counts
134 → 119
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02203163
16212854
220872768
345382768
451752768

prune150.0ms (1.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1154119
Fresh2810
Picked101
Done000
Total11812130
Error
0.1b
Counts
130 → 12
Alt Table
StatusErrorProgram
30.3b
(-.f64 (*.f64 eps (cos.f64 x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
24.6b
(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))))))
24.8b
(+.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))))))
0.6b
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1)))))))
26.7b
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))))
21.4b
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))))
33.9b
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
29.8b
(log1p.f64 (+.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 (*.f64 eps eps) 1/2) (-.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))))
24.3b
(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (neg.f64 (sin.f64 x)))
21.3b
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 3))
24.3b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
14.8b
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))))
Compiler

Compiled 3553 to 1781 computations (49.9% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1))))))
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1)))))
0.2b
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1)))))))
2.7b
(log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1)))

series1.5s (17.3%)

Counts
4 → 84
Calls

4 calls:

446.0ms
(expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1))))))
434.0ms
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1)))))))
428.0ms
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1)))))
239.0ms
(log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1)))

rewrite8.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64
*-un-lft-identity_binary64
add-exp-log_binary64
log1p-expm1-u_binary64
add-sqr-sqrt_binary64
Counts
4 → 47
Calls

4 calls:

5.0ms
(log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1)))
0.0ms
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1)))))
0.0ms
(expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1))))))
0.0ms
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1)))))))

simplify92.0ms (1%)

Algorithm
egg-herbie
Rules
590×sub-neg_binary64
341×cancel-sign-sub-inv_binary64
286×associate-+l+_binary64
273×distribute-rgt-in_binary64
269×associate--l+_binary64
Counts
131 → 113
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01752768
14322512
215202404
344862404
451652404

prune142.0ms (1.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1121113
Fresh11011
Picked011
Done000
Total11312125
Error
0.1b
Counts
125 → 12
Alt Table
StatusErrorProgram
24.8b
(+.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))))))
0.6b
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1)))))))
30.3b
(+.f64 (*.f64 (*.f64 (*.f64 eps eps) -1/2) (sin.f64 x)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6))))
24.3b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
26.7b
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))))
21.4b
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))))
33.9b
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
29.8b
(log1p.f64 (+.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 (*.f64 eps eps) 1/2) (-.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))))
24.3b
(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (neg.f64 (sin.f64 x)))
21.3b
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 3))
24.6b
(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))))))
14.8b
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))))
Compiler

Compiled 3086 to 1643 computations (46.8% saved)

regimes834.0ms (9.3%)

Accuracy

Total 0.3b remaining (66%)

Threshold costs 0.3b (66%)

Counts
239 → 1
Compiler

Compiled 13701 to 8987 computations (34.4% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
11319
21319

end223.0ms (2.5%)

Compiler

Compiled 363 to 196 computations (46% saved)

Profiling

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