Details

analyze287.0ms (5.8%)

Algorithm

1×

Search

True	Other	False	Iter
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
49.9%	49.9%	0.1%	7
56.2%	43.7%	0.1%	8
56.2%	43.7%	0.1%	9
71.8%	28.1%	0.1%	10
76.5%	23.4%	0.1%	11
76.5%	23.4%	0.1%	12
85%	14.8%	0.1%	13
87.8%	12.1%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample50.0ms (1%)

Algorithm

1×

intervals

Results

22.0ms	61×	body	1024	valid
11.0ms	153×	body	128	valid
6.0ms	27×	body	512	valid
3.0ms	15×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify174.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 x (sin.f64 y))
0.1b	(*.f64 z (cos.f64 y))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_4573`
6×	`-un-lft-identity_binary64_4551` `pow1_binary64_4612` `associate-r_binary64_4491` `add-exp-log_binary64_4589` `add-cbrt-cube_binary64_4587` `associate-l*_binary64_4492` `add-cube-cbrt_binary64_4586`
2×	`*-commutative_binary64_4482` `prod-exp_binary64_4600` `unswap-sqr_binary64_4519` `add-log-exp_binary64_4590` `cbrt-unprod_binary64_4584` `pow-prod-down_binary64_4622`

Counts

2 → 36

Calls

2 calls:

5.0ms	(*.f64 z (cos.f64 y))
5.0ms	(*.f64 x (sin.f64 y))

series117.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

60.0ms	(*.f64 x (sin.f64 y))
57.0ms	(*.f64 z (cos.f64 y))

simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4977	341
1	4977	341

prune142.0ms (2.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	33	9	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	10	43

Merged error: 0.0b

Counts

43 → 10

Compiler

Compiled 2191 to 1278 computations (41.7% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_4582`
23×	`add-sqr-sqrt_binary64_4573`
15×	`*-un-lft-identity_binary64_4551` `add-cube-cbrt_binary64_4586`
11×	`pow1_binary64_4612`
9×	`pow1/3_binary64_4633`
6×	`swap-sqr_binary64_4518` `associate-r_binary64_4491` `add-exp-log_binary64_4589` `associate-l_binary64_4492`
4×	`unswap-sqr_binary64_4519` `add-log-exp_binary64_4590` `add-cbrt-cube_binary64_4587`
2×	`pow-prod-down_binary64_4622` `pow-sqr_binary64_4524` `pow-prod-up_binary64_4621`
1×	`pow2_binary64_4632` `*-commutative_binary64_4482` `prod-exp_binary64_4600` `pow-plus_binary64_4614` `cbrt-unprod_binary64_4584`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

series567.0ms (11.4%)

Counts

4 → 12

Calls

4 calls:

197.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
126.0ms	(cbrt.f64 (cos.f64 y))
123.0ms	(cbrt.f64 (cos.f64 y))
120.0ms	(cbrt.f64 (cos.f64 y))

simplify80.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4955	772
1	4955	772

prune116.0ms (2.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	84	11	95

Merged error: 0.0b

Counts

95 → 11

Compiler

Compiled 2404 to 905 computations (62.4% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
0.2b	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
0.2b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (cos.f64 y))

rewrite32.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-exp-log_binary64_4589`
22×	`add-sqr-sqrt_binary64_4573`
19×	`unpow-prod-down_binary64_4630`
18×	`associate-r_binary64_4491`
16×	`prod-exp_binary64_4600`
13×	`*-un-lft-identity_binary64_4551` `add-cube-cbrt_binary64_4586`
11×	`add-cbrt-cube_binary64_4587`
9×	`pow-exp_binary64_4619`
7×	`pow1_binary64_4612` `cbrt-unprod_binary64_4584`
6×	`unswap-sqr_binary64_4519` `cbrt-prod_binary64_4582`
5×	`sqr-pow_binary64_4523` `pow-to-exp_binary64_4620`
4×	`add-log-exp_binary64_4590` `associate-l_binary64_4492`
3×	`pow-unpow_binary64_4628` `unpow2_binary64_4616`
2×	`unpow1/3_binary64_4618` `*-commutative_binary64_4482`
1×	`pow-pow_binary64_4623` `pow-prod-down_binary64_4622` `pow1/3_binary64_4633`

Counts

4 → 90

Calls

4 calls:

11.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
10.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
3.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

series359.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

144.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
133.0ms	(cbrt.f64 (cos.f64 y))
57.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
25.0ms	(pow.f64 (cos.f64 y) 2)

simplify60.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4961	984
1	4961	984

prune94.0ms (1.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	102	11	113

Merged error: 0.0b

Counts

113 → 11

Compiler

Compiled 1995 to 799 computations (59.9% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_4582`
23×	`add-sqr-sqrt_binary64_4573`
15×	`*-un-lft-identity_binary64_4551` `add-cube-cbrt_binary64_4586`
11×	`pow1_binary64_4612`
9×	`pow1/3_binary64_4633`
6×	`swap-sqr_binary64_4518` `associate-r_binary64_4491` `add-exp-log_binary64_4589` `associate-l_binary64_4492`
4×	`unswap-sqr_binary64_4519` `add-log-exp_binary64_4590` `add-cbrt-cube_binary64_4587`
2×	`pow-prod-down_binary64_4622` `pow-sqr_binary64_4524` `pow-prod-up_binary64_4621`
1×	`pow2_binary64_4632` `*-commutative_binary64_4482` `prod-exp_binary64_4600` `pow-plus_binary64_4614` `cbrt-unprod_binary64_4584`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series617.0ms (12.4%)

Counts

4 → 12

Calls

4 calls:

166.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
160.0ms	(cbrt.f64 x)
154.0ms	(cbrt.f64 x)
136.0ms	(cbrt.f64 x)

simplify54.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5245	563

prune103.0ms (2.1%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	83	13	96

Merged error: 0.0b

Counts

96 → 13

Compiler

Compiled 2135 to 795 computations (62.8% saved)

regimes106.0ms (2.1%)

Compiler: Compiled 812 to 606 computations (25.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample1.8s (37.1%)

Algorithm

1×

intervals

Results

750.0ms	2018×	body	1024	valid
332.0ms	4526×	body	128	valid
226.0ms	989×	body	512	valid
69.0ms	466×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 216 to 163 computations (24.5% saved)

Details

analyze287.0ms (5.8%)

sample50.0ms (1%)

simplify174.0ms (3.5%)

prune2.0ms (0%)

localize9.0ms (0.2%)

rewrite12.0ms (0.2%)

series117.0ms (2.4%)

simplify61.0ms (1.2%)

prune142.0ms (2.9%)

localize13.0ms (0.3%)

rewrite18.0ms (0.4%)

series567.0ms (11.4%)

simplify80.0ms (1.6%)

prune116.0ms (2.3%)

localize15.0ms (0.3%)

rewrite32.0ms (0.6%)

series359.0ms (7.2%)

simplify60.0ms (1.2%)

prune94.0ms (1.9%)

localize13.0ms (0.3%)

rewrite16.0ms (0.3%)

series617.0ms (12.4%)

simplify54.0ms (1.1%)

prune103.0ms (2.1%)

regimes106.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (37.1%)

Profiling