Details

Time bar (total: 8.4s)

analyze1.2s (13.8%)

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 24 to 22 computations (8.3% saved)

sample123.0ms (1.5%)

Algorithm
1×intervals
Results
27.0ms48×body1024valid
24.0ms47×body1024invalid
20.0ms172×body128valid
11.0ms3×body4096valid
7.0ms21×body512invalid
6.0ms17×body512valid
5.0ms37×body128invalid
3.0ms13×body256valid
2.0ms9×body256invalid
2.0ms3×body2048valid
Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify147.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
0491237
1491237

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 29.9b

Counts
2 → 1
Compiler

Compiled 46 to 40 computations (13% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
10.7b
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
22.2b
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.4b
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite33.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64_100
16×difference-of-squares_binary64_47
13×unpow-prod-down_binary64_157
11×*-un-lft-identity_binary64_78
9×add-cbrt-cube_binary64_114 unpow2_binary64_143 sqr-pow_binary64_50 add-exp-log_binary64_116 pow1_binary64_139
8×cancel-sign-sub-inv_binary64_44
7×add-cube-cbrt_binary64_113
6×add-log-exp_binary64_117
3×cbrt-unprod_binary64_111 prod-exp_binary64_127 associate-*r*_binary64_18 pow-prod-down_binary64_149
2×distribute-lft-out--_binary64_30 flip3--_binary64_82 flip--_binary64_53 associate-*l/_binary64_21 associate-*r/_binary64_20
1×*-commutative_binary64_9 associate-*l*_binary64_19 diff-log_binary64_170 sub-neg_binary64_71
Counts
4 → 71
Calls

4 calls:

14.0ms
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
9.0ms
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
2.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series161.0ms (1.9%)

Counts
4 → 12
Calls

4 calls:

113.0ms
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
23.0ms
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
15.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
11.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify63.0ms (0.8%)

Algorithm
1×egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049311321
149311321

prune149.0ms (1.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New661783
Fresh000
Picked101
Done000
Total671784

Merged error: 28.2b

Counts
84 → 17
Compiler

Compiled 2768 to 1825 computations (34.1% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

22.2b
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.2b
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.2b
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.4b
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite12.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
4×add-cbrt-cube_binary64_114 add-sqr-sqrt_binary64_100 add-log-exp_binary64_117 add-cube-cbrt_binary64_113 add-exp-log_binary64_116 *-un-lft-identity_binary64_78 pow1_binary64_139
Counts
4 → 28
Calls

4 calls:

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

series43.0ms (0.5%)

Counts
4 → 12
Calls

4 calls:

14.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
10.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
9.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
9.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify56.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05135603

prune121.0ms (1.4%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New36440
Fresh11516
Picked101
Done000
Total381957

Merged error: 28.1b

Counts
57 → 19
Compiler

Compiled 2433 to 1868 computations (23.2% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

22.2b
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.2b
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.2b
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.4b
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite10.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
4×add-cbrt-cube_binary64_114 add-sqr-sqrt_binary64_100 add-log-exp_binary64_117 add-cube-cbrt_binary64_113 add-exp-log_binary64_116 *-un-lft-identity_binary64_78 pow1_binary64_139
Counts
4 → 28
Calls

4 calls:

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

series41.0ms (0.5%)

Counts
4 → 12
Calls

4 calls:

13.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
9.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
9.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
9.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify57.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05135603

prune125.0ms (1.5%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New39140
Fresh01818
Picked011
Done000
Total392059

Merged error: 28.1b

Counts
59 → 20
Compiler

Compiled 2515 to 1950 computations (22.5% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

22.2b
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.2b
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.2b
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.4b
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite11.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
4×add-cbrt-cube_binary64_114 add-sqr-sqrt_binary64_100 add-log-exp_binary64_117 add-cube-cbrt_binary64_113 add-exp-log_binary64_116 *-un-lft-identity_binary64_78 pow1_binary64_139
Counts
4 → 28
Calls

4 calls:

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

series40.0ms (0.5%)

Counts
4 → 12
Calls

4 calls:

13.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
9.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
9.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
9.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify57.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05135603

prune95.0ms (1.1%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New39140
Fresh11718
Picked101
Done011
Total411960

Merged error: 28.1b

Counts
60 → 19
Compiler

Compiled 1964 to 1517 computations (22.8% saved)

regimes841.0ms (10%)

Compiler

Compiled 11612 to 9690 computations (16.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03341
13341

end0.0ms (0%)

sample4.9s (59%)

Algorithm
1×intervals
Results
966.0ms1540×body1024valid
665.0ms1275×body1024invalid
623.0ms5068×body128valid
278.0ms740×body512valid
246.0ms68×body4096valid
226.0ms622×body512invalid
164.0ms183×body2048valid
159.0ms1275×body128invalid
111.0ms401×body256valid
70.0ms292×body256invalid
Compiler

Compiled 1199 to 1003 computations (16.3% saved)

Profiling

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