Details

Time bar (total: 6.0s)

analyze24.0ms (0.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%25%75%0
0%25%75%1
12.5%12.5%75%2
12.5%12.5%75%3
18.7%6.2%75%4
21.8%3.1%75%5
23.4%1.6%75%6
23.4%1.6%75%7
24.2%0.8%75%8
24.2%0.8%75%9
24.6%0.4%75%10
24.6%0.4%75%11
24.8%0.2%75%12
24.8%0.2%75%13
24.9%0.1%75%14
Compiler

Compiled 20 to 14 computations (30% saved)

sample3.0s (49.3%)

Results
1.6s2175×body1024valid
749.0ms4571×body128valid
430.0ms998×body512valid
158.0ms510×body256valid
3.0ms2×body2048valid
Compiler

Compiled 53 to 37 computations (30.2% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
2×associate-/l*_binary64
2×associate-/r/_binary64
2×fma-def_binary64
1×+-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01017
11715
22315
32615
42715
52615

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.1b
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
Compiler

Compiled 47 to 28 computations (40.4% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
✓0.1b
(*.f64 e (sin.f64 v))

series39.0ms (0.6%)

Counts
2 → 28
Calls

2 calls:

31.0ms
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
7.0ms
(*.f64 e (sin.f64 v))

rewrite10.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
9×add-cbrt-cube_binary64
9×add-exp-log_binary64
8×add-sqr-sqrt_binary64
6×*-un-lft-identity_binary64
6×add-cube-cbrt_binary64
Counts
2 → 43
Calls

2 calls:

4.0ms
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
3.0ms
(*.f64 e (sin.f64 v))

simplify70.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
590×associate-/r*_binary64
466×fma-def_binary64
433×fma-neg_binary64
287×associate-/r/_binary64
260×associate-/l/_binary64
Counts
71 → 79
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01751682
14751537
219111497
347951497
450521497

prune81.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New72779
Fresh000
Picked101
Done000
Total73780
Error
0.0b
Counts
80 → 7
Alt Table
StatusErrorProgram
▶0.2b
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
1.1b
(/.f64 (*.f64 (*.f64 e (*.f64 (cbrt.f64 (sin.f64 v)) (cbrt.f64 (sin.f64 v)))) (cbrt.f64 (sin.f64 v))) (fma.f64 e (cos.f64 v) 1))
0.9b
(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))
0.4b
(/.f64 (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (sin.f64 v))) (fma.f64 e (cos.f64 v) 1))
32.7b
(/.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 e (sin.f64 v)) (*.f64 e (sin.f64 v))) (*.f64 e (sin.f64 v)))) (fma.f64 e (cos.f64 v) 1))
0.8b
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
29.3b
(/.f64 (*.f64 e (-.f64 (fma.f64 1/120 (pow.f64 v 5) v) (*.f64 1/6 (pow.f64 v 3)))) (fma.f64 e (cos.f64 v) 1))
Compiler

Compiled 2009 to 1062 computations (47.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
✓0.2b
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))

series50.0ms (0.8%)

Counts
2 → 48
Calls

2 calls:

31.0ms
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
18.0ms
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))

rewrite16.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
84×times-frac_binary64
52×*-un-lft-identity_binary64
52×add-sqr-sqrt_binary64
52×add-cube-cbrt_binary64
16×associate-/r*_binary64
Counts
2 → 101
Calls

2 calls:

4.0ms
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
2.0ms
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))

simplify122.0ms (2%)

Algorithm
1×egg-herbie
Rules
565×associate-/r/_binary64
530×fma-def_binary64
425×associate-/l/_binary64
345×fma-neg_binary64
299×cancel-sign-sub-inv_binary64
Counts
149 → 181
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02854112
17113934
225363870
350003870
452073870

prune156.0ms (2.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1792181
Fresh246
Picked101
Done000
Total1826188
Error
0.0b
Counts
188 → 6
Alt Table
StatusErrorProgram
8.0b
(/.f64 e (cbrt.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) 3)))
29.3b
(/.f64 (*.f64 e (-.f64 (fma.f64 1/120 (pow.f64 v 5) v) (*.f64 1/6 (pow.f64 v 3)))) (fma.f64 e (cos.f64 v) 1))
0.8b
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
1.1b
(/.f64 (*.f64 (*.f64 e (*.f64 (cbrt.f64 (sin.f64 v)) (cbrt.f64 (sin.f64 v)))) (cbrt.f64 (sin.f64 v))) (fma.f64 e (cos.f64 v) 1))
0.9b
(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))
▶0.4b
(/.f64 (sqrt.f64 e) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) (sqrt.f64 e)))
Compiler

Compiled 4325 to 2108 computations (51.3% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
✓0.3b
(/.f64 (sqrt.f64 e) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) (sqrt.f64 e)))
✓0.3b
(/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) (sqrt.f64 e))

series80.0ms (1.3%)

Counts
2 → 32
Calls

2 calls:

43.0ms
(/.f64 (sqrt.f64 e) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) (sqrt.f64 e)))
37.0ms
(/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) (sqrt.f64 e))

rewrite182.0ms (3%)

Algorithm
1×rewrite-expression-head
Rules
1557×times-frac_binary64
728×*-un-lft-identity_binary64
728×add-sqr-sqrt_binary64
728×add-cube-cbrt_binary64
564×sqrt-prod_binary64
Counts
2 → 713
Calls

2 calls:

20.0ms
(/.f64 (sqrt.f64 e) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) (sqrt.f64 e)))
6.0ms
(/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) (sqrt.f64 e))

simplify658.0ms (10.9%)

Algorithm
1×egg-herbie
Rules
548×associate-*r/_binary64
512×associate-*l/_binary64
444×associate-/r/_binary64
391×associate-/l*_binary64
348×fma-def_binary64
Counts
745 → 836
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
078833772
1186032145
2480532121
3512432121

prune761.0ms (12.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New8794883
Fresh235
Picked011
Done000
Total8818889
Error
0b
Counts
889 → 8
Alt Table
StatusErrorProgram
1.1b
(/.f64 (sqrt.f64 e) (/.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 v)) (cbrt.f64 (sin.f64 v)))) (/.f64 (fma.f64 e (cos.f64 v) 1) (cbrt.f64 (sin.f64 v)))) (sqrt.f64 e)))
0.4b
(*.f64 (/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) (/.f64 (sqrt.f64 e) (/.f64 1 (sqrt.f64 e))))
0.8b
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
▶0.2b
(*.f64 1 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))
29.3b
(/.f64 (*.f64 e (-.f64 (fma.f64 1/120 (pow.f64 v 5) v) (*.f64 1/6 (pow.f64 v 3)))) (fma.f64 e (cos.f64 v) 1))
1.2b
(*.f64 (*.f64 (fabs.f64 (cbrt.f64 e)) (*.f64 (cbrt.f64 (sin.f64 v)) (cbrt.f64 (sin.f64 v)))) (*.f64 (/.f64 (sqrt.f64 e) (/.f64 (fma.f64 e (cos.f64 v) 1) (cbrt.f64 (sin.f64 v)))) (sqrt.f64 (cbrt.f64 e))))
0.9b
(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))
✓0.4b
(/.f64 (sqrt.f64 e) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) (sqrt.f64 e)))
Compiler

Compiled 29251 to 11621 computations (60.3% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
0.2b
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))

prune181.0ms (3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1801181
Fresh156
Picked101
Done011
Total1827189
Error
0b
Counts
189 → 7
Alt Table
StatusErrorProgram
1.1b
(/.f64 (sqrt.f64 e) (/.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 v)) (cbrt.f64 (sin.f64 v)))) (/.f64 (fma.f64 e (cos.f64 v) 1) (cbrt.f64 (sin.f64 v)))) (sqrt.f64 e)))
0.8b
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
0.2b
(*.f64 1 (/.f64 e (fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 1 (sin.f64 v)))))
29.3b
(/.f64 (*.f64 e (-.f64 (fma.f64 1/120 (pow.f64 v 5) v) (*.f64 1/6 (pow.f64 v 3)))) (fma.f64 e (cos.f64 v) 1))
1.2b
(*.f64 (*.f64 (fabs.f64 (cbrt.f64 e)) (*.f64 (cbrt.f64 (sin.f64 v)) (cbrt.f64 (sin.f64 v)))) (*.f64 (/.f64 (sqrt.f64 e) (/.f64 (fma.f64 e (cos.f64 v) 1) (cbrt.f64 (sin.f64 v)))) (sqrt.f64 (cbrt.f64 e))))
0.9b
(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))
✓0.4b
(/.f64 (sqrt.f64 e) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) (sqrt.f64 e)))
Compiler

Compiled 4624 to 2425 computations (47.6% saved)

regimes457.0ms (7.6%)

Accuracy

Total 0.1b remaining (72.5%)

Threshold costs 0.1b (72.5%)

Counts
148 → 1
Compiler

Compiled 8906 to 5585 computations (37.3% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
1×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
11517
21417

end114.0ms (1.9%)

Compiler

Compiled 165 to 105 computations (36.4% saved)

Profiling

Loading profile data...