Details

Time bar (total: 2.5min)

analyze20.9s (13.9%)

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)

sample1.8s (1.2%)

Algorithm
1×intervals
Results
538.0ms6×body8192exit
476.0ms41×body4096valid
323.0ms53×body1024valid
246.0ms38×body2048valid
124.0ms37×body512valid
64.0ms77×body128valid
22.0ms10×body256valid
Compiler

Compiled 339 to 258 computations (23.9% saved)

simplify165.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
05229273

prune18.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
56.7b
Counts
2 → 1
Compiler

Compiled 338 to 245 computations (27.5% saved)

localize70.0ms (0%)

Local error

Found 4 expressions with local error:

25.0b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
25.0b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
25.0b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
25.0b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite524.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Error
55.7b
Rules
4×pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_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))
Compiler

Compiled 4928 to 3522 computations (28.5% saved)

series507.0ms (0.3%)

Error
54.6b
Counts
4 → 16
Calls

4 calls:

119.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
87.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
81.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
72.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 7616 to 5579 computations (26.7% saved)

simplify101.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
04790636
14790636

prune564.0ms (0.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New36844
Fresh000
Picked101
Done000
Total37845
Error
53.6b
Counts
45 → 8
Compiler

Compiled 9004 to 6457 computations (28.3% saved)

localize70.0ms (0%)

Local error

Found 4 expressions with local error:

25.0b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
25.0b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
25.0b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
25.1b
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))

rewrite345.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Error
53.6b
Rules
4×pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
Counts
4 → 28
Calls

4 calls:

3.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle 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))
Compiler

Compiled 4928 to 3490 computations (29.2% saved)

series451.0ms (0.3%)

Error
53.6b
Counts
4 → 16
Calls

4 calls:

111.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
109.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
54.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
51.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 7616 to 5544 computations (27.2% saved)

simplify150.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (134.0ms)

IterNodesCost
04777636
14777636

prune522.0ms (0.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New43144
Fresh167
Picked101
Done000
Total45752
Error
53.6b
Counts
52 → 7
Compiler

Compiled 8835 to 6286 computations (28.9% saved)

localize109.0ms (0.1%)

Local error

Found 4 expressions with local error:

25.0b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
25.0b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
25.1b
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
28.1b
(/.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))) (*.f64 1/180 (*.f64 angle PI.f64))) (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 1/180 (*.f64 angle PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale))

rewrite10.8s (7.2%)

Algorithm
1×rewrite-expression-head
Error
51.5b
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×div-exp_binary64 cbrt-undiv_binary64
8×frac-sub_binary64 associate-/l/_binary64
7×associate-/l*_binary64
6×prod-exp_binary64 cbrt-unprod_binary64 sqrt-div_binary64
4×pow1_binary64 add-log-exp_binary64
3×flip3-+_binary64 flip-+_binary64 flip3--_binary64 flip--_binary64
1×frac-2neg_binary64 div-sub_binary64 clear-num_binary64 associate-/r/_binary64
Counts
4 → 260
Calls

4 calls:

486.0ms
(/.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))) (*.f64 1/180 (*.f64 angle PI.f64))) (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 1/180 (*.f64 angle PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale))
5.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
3.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
3.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 72657 to 50474 computations (30.5% saved)

series1.9min (75.2%)

Compiler

Compiled 38686 to 27948 computations (27.8% saved)

Profiling

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