Details

Time bar (total: 2.5min)

analyze17.0s (11.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
2.3%97.4%0.2%9
3.5%96.2%0.2%10
5.3%94.5%0.2%11
6.1%93.6%0.2%12
9.2%90.6%0.2%13
13.8%85.9%0.2%14
Compiler

Compiled 170 to 127 computations (25.3% saved)

sample1.5s (1%)

Algorithm
1×intervals
Results
462.0ms46×body4096valid
339.0ms5×body8192exit
287.0ms59×body1024valid
246.0ms41×body2048valid
77.0ms23×body512valid
63.0ms81×body128valid
12.0ms6×body256valid
Compiler

Compiled 339 to 258 computations (23.9% saved)

simplify127.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
05229273

prune15.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
55.9b
Counts
2 → 1
Compiler

Compiled 338 to 245 computations (27.5% saved)

localize70.0ms (0%)

Local error

Found 4 expressions with local error:

26.2b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.2b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.2b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.2b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite22.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
4×*-un-lft-identity_binary64 add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64
Counts
4 → 28
Calls

4 calls:

4.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

series472.0ms (0.3%)

Counts
4 → 18
Calls

4 calls:

253.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
80.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
76.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
62.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 5236 to 3910 computations (25.3% saved)

simplify112.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (99.0ms)

IterNodesCost
04761684
14761684

prune591.0ms (0.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New361046
Fresh000
Picked101
Done000
Total371047
Error
48.4b
Counts
47 → 10
Compiler

Compiled 9720 to 6978 computations (28.2% saved)

localize73.0ms (0%)

Local error

Found 4 expressions with local error:

26.2b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.2b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.4b
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 1/180 (/.f64 PI.f64 angle)))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale))
29.5b
(sin.f64 (*.f64 1/180 (/.f64 PI.f64 angle)))

rewrite550.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
415×times-frac_binary64
272×*-un-lft-identity_binary64
246×add-sqr-sqrt_binary64
142×add-cube-cbrt_binary64
78×distribute-lft-out--_binary64
52×difference-of-squares_binary64
33×div-inv_binary64
31×add-exp-log_binary64 add-cbrt-cube_binary64
26×sqrt-prod_binary64
25×associate-/r*_binary64
15×cbrt-undiv_binary64 div-exp_binary64
8×associate-/l/_binary64 frac-sub_binary64
7×associate-/l*_binary64
6×cbrt-unprod_binary64 prod-exp_binary64 sqrt-div_binary64
4×add-log-exp_binary64 pow1_binary64
3×flip3-+_binary64 flip3--_binary64 flip--_binary64 flip-+_binary64
1×associate-/r/_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64
Counts
4 → 260
Calls

4 calls:

370.0ms
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 1/180 (/.f64 PI.f64 angle)))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale))
2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(sin.f64 (*.f64 1/180 (/.f64 PI.f64 angle)))
2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

series2.2min (86.3%)

Calls

1 calls:

120.0ms
(sin.f64 (*.f64 1/180 (/.f64 PI.f64 angle)))
Compiler

Compiled 41916 to 30496 computations (27.2% saved)

Profiling

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