Details

Time bar (total: 10.2s)

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)

sample5.4s (53%)

Results
2.3s2122×body2048valid
2.3s3974×body1024valid
486.0ms1356×body512valid
138.0ms542×body256valid
36.0ms260×body128valid
6.0ms2×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
39.8b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶39.8b
(-.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
✓0.7b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓2.9b
(cos.f64 (+.f64 x eps))

series12.0ms (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))

rewrite10.0ms (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:

5.0ms
(-.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

prune124.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New821092
Fresh000
Picked101
Done000
Total831093
Error
0.3b
Counts
93 → 10
Alt Table
StatusErrorProgram
24.2b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
40.1b
(fma.f64 (*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
39.8b
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
24.2b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
32.7b
(+.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 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
24.2b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
32.6b
(fma.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) -1/2)))
46.8b
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
39.9b
(cbrt.f64 (*.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
Compiler

Compiled 1925 to 684 computations (64.5% saved)

localize11.0ms (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)))
✓2.9b
(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))

series38.0ms (0.4%)

Counts
4 → 96
Calls

4 calls:

17.0ms
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
12.0ms
(*.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))

rewrite31.0ms (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:

9.0ms
(*.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
(+.f64 x (+.f64 eps x))
5.0ms
(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))

simplify146.0ms (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

prune186.0ms (1.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New15410164
Fresh459
Picked101
Done000
Total15915174
Error
0.2b
Counts
174 → 15
Alt Table
StatusErrorProgram
24.2b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
47.8b
(*.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))))))
16.2b
(*.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))))))
16.3b
(*.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))))))
23.0b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
39.8b
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
24.2b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
24.2b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
33.3b
(*.f64 -2 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))
16.3b
(*.f64 -2 (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))) (cbrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
32.6b
(fma.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) -1/2)))
32.1b
(*.f64 -2 (cbrt.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))) (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))) (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))))
▶15.5b
(*.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
35.9b
(*.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)))))
16.2b
(*.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 4421 to 3103 computations (29.8% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
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)))
2.9b
(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))

series17.0ms (0.2%)

Counts
1 → 24
Calls

1 calls:

17.0ms
(*.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))

rewrite35.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
6×add-cbrt-cube_binary64
6×add-exp-log_binary64
6×pow1_binary64
3×associate-*r*_binary64
3×cbrt-unprod_binary64
Counts
1 → 20
Calls

1 calls:

33.0ms
(*.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))

simplify78.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
964×fma-neg_binary64
628×cancel-sign-sub-inv_binary64
601×fma-def_binary64
340×unswap-sqr_binary64
318×*-commutative_binary64
Counts
44 → 48
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01001264
12591081
2795976
31493953
43096947
54234947
64948947

prune171.0ms (1.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1121113
Fresh11314
Picked011
Done000
Total11315128
Error
0.2b
Counts
128 → 15
Alt Table
StatusErrorProgram
24.2b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
47.8b
(*.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))))))
16.2b
(*.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))))))
16.3b
(*.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))))))
23.0b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
32.3b
(neg.f64 (fma.f64 eps (sin.f64 x) (*.f64 1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))))
39.8b
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
24.2b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
24.2b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
33.3b
(*.f64 -2 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))
16.3b
(*.f64 -2 (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))) (cbrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
32.1b
(*.f64 -2 (cbrt.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))) (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))) (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))))
✓15.5b
(*.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
35.9b
(*.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)))))
▶16.2b
(*.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 3177 to 2223 computations (30% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.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))))
✓0.4b
(*.f64 (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))
✓0.6b
(cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))
✓3.0b
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

series1.1s (10.9%)

Counts
4 → 96
Calls

4 calls:

644.0ms
(*.f64 (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))
456.0ms
(cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))
5.0ms
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
5.0ms
(*.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))))

rewrite27.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
30×pow1_binary64
25×add-sqr-sqrt_binary64
23×cbrt-prod_binary64
16×pow1/3_binary64
15×*-un-lft-identity_binary64
Counts
4 → 102
Calls

4 calls:

10.0ms
(*.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))))
8.0ms
(*.f64 (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))
2.0ms
(cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))
2.0ms
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

simplify124.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
753×fma-def_binary64
729×cancel-sign-sub-inv_binary64
395×fma-neg_binary64
298×unswap-sqr_binary64
277×associate-*r*_binary64
Counts
198 → 169
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02364362
16224122
221333814
342413765
449913765

prune458.0ms (4.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New2834287
Fresh21113
Picked101
Done011
Total28616302
Error
0.2b
Counts
302 → 16
Alt Table
StatusErrorProgram
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 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) 6) (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))))
24.2b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
47.8b
(*.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))))))
24.2b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
35.7b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (pow.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3) 1/3)))
16.3b
(*.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))))))
23.0b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
32.3b
(neg.f64 (fma.f64 eps (sin.f64 x) (*.f64 1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))))
16.3b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) 2) 1/3) (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
32.1b
(*.f64 -2 (cbrt.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))) (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))) (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))))
24.2b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
33.3b
(*.f64 -2 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))
16.3b
(*.f64 -2 (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))) (cbrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
15.9b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) 2)) (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
✓15.5b
(*.f64 (*.f64 -2 (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
35.9b
(*.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)))))
Compiler

Compiled 13592 to 10555 computations (22.3% saved)

regimes1.6s (16%)

Accuracy

Total 0.3b remaining (54.6%)

Threshold costs 0.3b (54.6%)

Counts
202 → 3
Compiler

Compiled 13117 to 9718 computations (25.9% saved)

bsearch116.0ms (1.1%)

Steps
ItersRangePoint
9
0.002384711820849888
6735.107269752059
0.0027524678397060076
10
-62296.2525525185
-9.374130856351376e-6
-0.0024476897834141763
Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify4.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03169
14269
25069
35469
45669
55669

end325.0ms (3.2%)

Compiler

Compiled 538 to 402 computations (25.3% saved)

Profiling

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