Details

Time bar (total: 23.5s)

analyze1.6s (6.8%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
25%74.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
40.6%59.3%0.1%9
40.6%59.3%0.1%10
46%53.8%0.1%11
52.7%47.2%0.1%12
52.7%44.6%2.8%13
55.9%40.6%3.5%14
Compiler

Compiled 27 to 22 computations (18.5% saved)

sample149.0ms (0.6%)

Algorithm
1×intervals
Results
32.0ms48×body1024valid
26.0ms168×body128valid
24.0ms34×body1024invalid
14.0ms31×body512invalid
11.0ms9×body2048valid
8.0ms17×body512valid
6.0ms13×body256valid
6.0ms37×body128invalid
5.0ms1×body4096valid
2.0ms7×body256invalid
Compiler

Compiled 56 to 46 computations (17.9% saved)

simplify41.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
387×unsub-neg_binary64
380×neg-sub0_binary64
373×neg-mul-1_binary64
358×*-commutative_binary64
328×fma-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01737
13737
28437
322437
480337
5206137
6386137
7507637

prune6.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
29.5b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶29.5b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
Compiler

Compiled 101 to 78 computations (22.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.7b
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
✓8.5b
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
✓22.9b
(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
✓22.9b
(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

series72.0ms (0.3%)

Counts
4 → 66
Calls

4 calls:

57.0ms
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
7.0ms
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
4.0ms
(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
4.0ms
(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

rewrite53.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
64×prod-diff_binary64
64×unpow-prod-down_binary64
57×add-sqr-sqrt_binary64
45×*-un-lft-identity_binary64
41×add-cube-cbrt_binary64
Counts
4 → 151
Calls

4 calls:

18.0ms
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
17.0ms
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
1.0ms
(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
1.0ms
(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

simplify185.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
580×cancel-sign-sub-inv_binary64
482×fma-neg_binary64
457×unswap-sqr_binary64
363×associate-*r*_binary64
310×associate-*l*_binary64
Counts
217 → 222
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03388304
17014859
225063469
345943463
449813463
548713463

prune501.0ms (2.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New20121222
Fresh000
Picked101
Done000
Total20221223
Error
27.5b
Counts
223 → 21
Alt Table
StatusErrorProgram
29.5b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 3)))
32.2b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 1/180 (*.f64 angle (PI.f64)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
42.9b
(*.f64 (*.f64 (*.f64 2 (exp.f64 (log.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
50.3b
(*.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
29.6b
(*.f64 (*.f64 (*.f64 2 (fma.f64 (*.f64 (cbrt.f64 (pow.f64 b 2)) (cbrt.f64 (pow.f64 b 2))) (cbrt.f64 (pow.f64 b 2)) (neg.f64 (pow.f64 a 2)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
30.2b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 1)
47.5b
(*.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
29.8b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
45.8b
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 4) (pow.f64 a 4)))) (+.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
42.3b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 3))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
31.9b
(*.f64 (*.f64 angle (*.f64 1/90 (*.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
29.6b
(*.f64 (*.f64 (*.f64 2 (+.f64 (pow.f64 b 2) (*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 a 2)) (cbrt.f64 (pow.f64 a 2)))) (cbrt.f64 (pow.f64 a 2))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
39.9b
(*.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
▶29.4b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
29.5b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (expm1.f64 (log1p.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
53.9b
(*.f64 (exp.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (log.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
34.2b
(*.f64 (expm1.f64 (log1p.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
29.9b
(*.f64 (*.f64 (*.f64 2 (+.f64 (fma.f64 (pow.f64 (*.f64 (cbrt.f64 b) (cbrt.f64 b)) 2) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 a)) 2)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 a) 2)) (pow.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 a)) 2) (*.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 a)) 2))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
39.9b
(*.f64 (*.f64 -2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
29.8b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) (cbrt.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (cbrt.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
29.5b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
Compiler

Compiled 9978 to 7144 computations (28.4% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
8.5b
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
✓22.8b
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
22.9b
(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

series9.0ms (0%)

Counts
1 → 4
Calls

1 calls:

9.0ms
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))

rewrite4.0ms (0%)

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

1 calls:

3.0ms
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))

simplify99.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
861×distribute-rgt-neg-in_binary64
699×distribute-lft-neg-in_binary64
488×fma-def_binary64
475×cancel-sign-sub-inv_binary64
369×*-commutative_binary64
Counts
13 → 17
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040238
194217
2246213
3973211
42721205
54427205
64978205

prune1.0s (4.3%)

Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New2138221
Fresh61420
Picked101
Done000
Total22022242
Error
27.5b
Counts
242 → 22
Alt Table
StatusErrorProgram
29.5b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 3)))
32.2b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 1/180 (*.f64 angle (PI.f64)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
42.9b
(*.f64 (*.f64 (*.f64 2 (exp.f64 (log.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
50.3b
(*.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
42.9b
(*.f64 (*.f64 (*.f64 2 (exp.f64 (log.f64 (-.f64 (*.f64 b b) (*.f64 a a))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
29.6b
(*.f64 (*.f64 (*.f64 2 (+.f64 (pow.f64 b 2) (*.f64 (neg.f64 (pow.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 a)) 2)) (pow.f64 (cbrt.f64 a) 2)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
30.2b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 1)
29.5b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
29.5b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (expm1.f64 (log1p.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
42.2b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 3))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
53.9b
(*.f64 (exp.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (log.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
44.6b
(*.f64 (*.f64 (*.f64 2 (/.f64 (-.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 a a (*.f64 b b)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
45.8b
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 4) (pow.f64 a 4)))) (+.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
31.9b
(*.f64 (*.f64 angle (*.f64 1/90 (*.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
29.6b
(*.f64 (*.f64 (*.f64 2 (+.f64 (pow.f64 b 2) (*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 a 2)) (cbrt.f64 (pow.f64 a 2)))) (cbrt.f64 (pow.f64 a 2))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
39.9b
(*.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
29.5b
(*.f64 (*.f64 (*.f64 2 (fma.f64 (*.f64 (cbrt.f64 (pow.f64 b 2)) (cbrt.f64 (pow.f64 b 2))) (cbrt.f64 (pow.f64 b 2)) (neg.f64 (*.f64 a a)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
34.2b
(*.f64 (expm1.f64 (log1p.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
41.6b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a)))) 3)) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
▶29.4b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
39.9b
(*.f64 (*.f64 -2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
29.8b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) (cbrt.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (cbrt.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
Compiler

Compiled 9904 to 6872 computations (30.6% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
8.5b
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
22.8b
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
22.9b
(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

prune1.4s (6.1%)

Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New24312255
Fresh61521
Picked101
Done000
Total25027277
Error
27.3b
Counts
277 → 27
Alt Table
StatusErrorProgram
50.3b
(*.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
42.9b
(*.f64 (*.f64 (*.f64 2 (exp.f64 (log.f64 (-.f64 (*.f64 b b) (*.f64 a a))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
30.2b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 1)
40.8b
(*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
▶29.5b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
29.5b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (expm1.f64 (log1p.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
30.0b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 1)))
44.6b
(*.f64 (*.f64 (*.f64 2 (/.f64 (-.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 a a (*.f64 b b)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
53.9b
(*.f64 (exp.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (log.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
42.2b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 3))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
33.9b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (-.f64 1 (*.f64 1/64800 (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))))
29.6b
(*.f64 (*.f64 (*.f64 2 (+.f64 (pow.f64 b 2) (*.f64 (neg.f64 (pow.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 a)) 2)) (pow.f64 (cbrt.f64 a) 2)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
33.9b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (fma.f64 angle (*.f64 -1/64800 (*.f64 angle (pow.f64 (PI.f64) 2))) 1))))
45.8b
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 4) (pow.f64 a 4)))) (+.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
31.9b
(*.f64 (*.f64 angle (*.f64 1/90 (*.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
29.6b
(*.f64 (*.f64 (*.f64 2 (+.f64 (pow.f64 b 2) (*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 a 2)) (cbrt.f64 (pow.f64 a 2)))) (cbrt.f64 (pow.f64 a 2))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
42.9b
(*.f64 (*.f64 (*.f64 2 (exp.f64 (log.f64 (-.f64 (*.f64 b b) (*.f64 a a))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
39.9b
(*.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
53.2b
(*.f64 (*.f64 (*.f64 2 (/.f64 (-.f64 (pow.f64 (pow.f64 b 2) 3) (pow.f64 (pow.f64 a 2) 3)) (+.f64 (*.f64 (pow.f64 b 2) (pow.f64 b 2)) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 a 2)) (*.f64 (pow.f64 b 2) (pow.f64 a 2)))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
39.9b
(*.f64 (*.f64 -2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
29.8b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) (cbrt.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (cbrt.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
39.9b
(*.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 a a))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
47.4b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
39.8b
(*.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 b b))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
29.5b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 3)))
29.5b
(*.f64 (*.f64 (*.f64 2 (fma.f64 (*.f64 (cbrt.f64 (pow.f64 b 2)) (cbrt.f64 (pow.f64 b 2))) (cbrt.f64 (pow.f64 b 2)) (neg.f64 (*.f64 a a)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
41.6b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a)))) 3)) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
Compiler

Compiled 15971 to 10931 computations (31.6% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
✓8.4b
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
22.8b
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))
✓23.1b
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))

series122.0ms (0.5%)

Counts
2 → 40
Calls

2 calls:

115.0ms
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
7.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))

rewrite31.0ms (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×cbrt-unprod_binary64
Counts
2 → 31
Calls

2 calls:

23.0ms
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
4.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))

simplify173.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
742×fma-def_binary64
438×fma-neg_binary64
429×cancel-sign-sub-inv_binary64
236×associate-*r*_binary64
220×associate-*l*_binary64
Counts
71 → 64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01462456
14131947
216391903
345181901
449941901
549551901

prune1.2s (5%)

Pruning

30 alts after pruning (30 fresh and 0 done)

PrunedKeptTotal
New2135218
Fresh12526
Picked101
Done000
Total21530245
Error
27.3b
Counts
245 → 30
Alt Table
StatusErrorProgram
50.3b
(*.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
42.9b
(*.f64 (*.f64 (*.f64 2 (exp.f64 (log.f64 (-.f64 (*.f64 b b) (*.f64 a a))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
29.8b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
30.1b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) 1)
30.2b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 1)
40.8b
(*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
30.0b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 1)))
44.6b
(*.f64 (*.f64 (*.f64 2 (/.f64 (-.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 a a (*.f64 b b)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
53.9b
(*.f64 (exp.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (log.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
29.7b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))) (cbrt.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
42.2b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 3))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
33.9b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (-.f64 1 (*.f64 1/64800 (*.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))))
29.6b
(*.f64 (*.f64 (*.f64 2 (+.f64 (pow.f64 b 2) (*.f64 (neg.f64 (pow.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 a)) 2)) (pow.f64 (cbrt.f64 a) 2)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
33.9b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (fma.f64 angle (*.f64 -1/64800 (*.f64 angle (pow.f64 (PI.f64) 2))) 1))))
45.8b
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))) (*.f64 2 (-.f64 (pow.f64 b 4) (pow.f64 a 4)))) (+.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
31.9b
(*.f64 (*.f64 angle (*.f64 1/90 (*.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
29.6b
(*.f64 (*.f64 (*.f64 2 (+.f64 (pow.f64 b 2) (*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 a 2)) (cbrt.f64 (pow.f64 a 2)))) (cbrt.f64 (pow.f64 a 2))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
42.9b
(*.f64 (*.f64 (*.f64 2 (exp.f64 (log.f64 (-.f64 (*.f64 b b) (*.f64 a a))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
39.9b
(*.f64 (*.f64 2 (*.f64 (pow.f64 b 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
53.2b
(*.f64 (*.f64 (*.f64 2 (/.f64 (-.f64 (pow.f64 (pow.f64 b 2) 3) (pow.f64 (pow.f64 a 2) 3)) (+.f64 (*.f64 (pow.f64 b 2) (pow.f64 b 2)) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 a 2)) (*.f64 (pow.f64 b 2) (pow.f64 a 2)))))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
39.9b
(*.f64 (*.f64 -2 (*.f64 (pow.f64 a 2) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
29.8b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))) (cbrt.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (cbrt.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
39.9b
(*.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 a a))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
47.4b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
39.8b
(*.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (*.f64 b b))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))
29.5b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 3)))
29.5b
(*.f64 (*.f64 (*.f64 2 (fma.f64 (*.f64 (cbrt.f64 (pow.f64 b 2)) (cbrt.f64 (pow.f64 b 2))) (cbrt.f64 (pow.f64 b 2)) (neg.f64 (*.f64 a a)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
29.5b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) (expm1.f64 (log1p.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
40.7b
(*.f64 (exp.f64 (log.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (-.f64 (*.f64 b b) (*.f64 a a)))))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
29.6b
(*.f64 (*.f64 (*.f64 2 (fma.f64 (*.f64 (cbrt.f64 (pow.f64 b 2)) (cbrt.f64 (pow.f64 b 2))) (cbrt.f64 (pow.f64 b 2)) (neg.f64 (*.f64 a a)))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))) (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
Compiler

Compiled 9622 to 6412 computations (33.4% saved)

regimes6.3s (26.8%)

Accuracy

Total 2.3b remaining (7.5%)

Threshold costs 0b (0%)

Counts
205 → 1
Compiler

Compiled 93891 to 70857 computations (24.5% saved)

simplify6.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02037
13337
23737
34037
44137
54137

end1.0ms (0%)

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample10.4s (44.4%)

Algorithm
1×intervals
Results
2.0s1454×body1024valid
1.6s1247×body1024invalid
1.6s5200×body128valid
740.0ms745×body512valid
590.0ms663×body512invalid
537.0ms66×body4096valid
376.0ms1252×body128invalid
352.0ms162×body2048valid
226.0ms373×body256valid
201.0ms290×body256invalid
Compiler

Compiled 1217 to 929 computations (23.7% saved)

Profiling

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