Details

Time bar (total: 19.0s)

analyze3.1s (16.2%)

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)

sample289.0ms (1.5%)

Algorithm
1×intervals
Results
65.0ms48×body1024valid
52.0ms168×body128valid
47.0ms34×body1024invalid
28.0ms31×body512invalid
21.0ms9×body2048valid
16.0ms17×body512valid
11.0ms37×body128invalid
10.0ms1×body4096valid
8.0ms13×body256valid
4.0ms7×body256invalid
Compiler

Compiled 56 to 46 computations (17.9% saved)

simplify77.0ms (0.4%)

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

prune9.0ms (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)

localize27.0ms (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)))

series149.0ms (0.8%)

Counts
4 → 66
Calls

4 calls:

122.0ms
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
13.0ms
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
7.0ms
(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
7.0ms
(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

rewrite61.0ms (0.3%)

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:

21.0ms
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
15.0ms
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
2.0ms
(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
2.0ms
(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

simplify313.0ms (1.6%)

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

prune949.0ms (5%)

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
29.6b
(*.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))))
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))))
▶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)))))
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))))
30.2b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 1)
29.6b
(*.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))))
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))))
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))))
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))))
29.5b
(*.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))))))
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))))
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))))
29.5b
(*.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))))))
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))))
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))))
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))))
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))))
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))))
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))))
Compiler

Compiled 9978 to 7144 computations (28.4% saved)

localize30.0ms (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)))

series6.0ms (0%)

Counts
1 → 4
Calls

1 calls:

6.0ms
(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))

rewrite3.0ms (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))))

simplify85.0ms (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

prune831.0ms (4.4%)

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
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)))))
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)))))
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))))
30.2b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 1)
29.6b
(*.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))))
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))))
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))))
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)))))
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))))
29.5b
(*.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)))))
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))))
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))))
▶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)))))))
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))))
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))))))
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))))
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))))
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))))
29.5b
(*.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)))))
Compiler

Compiled 9904 to 6872 computations (30.6% saved)

localize46.0ms (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)))

prune1.3s (6.8%)

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)))))))
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)))
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)))))))
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)))))
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)))))
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)))))))
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))))
30.2b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 1)
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))))
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))))))
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)))))
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)))))))
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))))
▶29.5b
(*.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)))))
29.6b
(*.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)))))))
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)))))))
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))))
29.5b
(*.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)))))
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)))))))
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))))
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)))))))
29.6b
(*.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))))
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))))
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)))))))
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)))))))
39.9b
(*.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 (-.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)))
Compiler

Compiled 15971 to 10931 computations (31.6% saved)

localize25.0ms (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))))

series144.0ms (0.8%)

Counts
2 → 40
Calls

2 calls:

137.0ms
(*.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))))

rewrite26.0ms (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:

21.0ms
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))
3.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))

simplify165.0ms (0.9%)

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

prune1.1s (5.5%)

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)))))))
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)))
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)))))))
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)))))
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)))))))
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))))
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)
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)))))
30.2b
(*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 1)
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))))
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))))))
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))))
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)))))
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)))))
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)))))))
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 (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)))))))
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)))))
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))))
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)))))))
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))))
29.5b
(*.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)))))
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)))))
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)))))))
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))))
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)))))))
29.8b
(*.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))))
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)))))))
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)))))))
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)))
Compiler

Compiled 9622 to 6412 computations (33.4% saved)

regimes5.0s (26.5%)

Accuracy

Total 2.3b remaining (7.5%)

Threshold costs 0b (0%)

Counts
205 → 1
Compiler

Compiled 79874 to 59932 computations (25% saved)

simplify3.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02037
12837
23337
33537
43637
53637

end1.0ms (0%)

Compiler

Compiled 26 to 21 computations (19.2% saved)

sample5.3s (27.9%)

Algorithm
1×intervals
Results
991.0ms1454×body1024valid
845.0ms1247×body1024invalid
790.0ms5200×body128valid
355.0ms745×body512valid
344.0ms663×body512invalid
272.0ms66×body4096valid
200.0ms1252×body128invalid
185.0ms162×body2048valid
122.0ms373×body256valid
93.0ms290×body256invalid
Compiler

Compiled 1217 to 931 computations (23.5% saved)

Profiling

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