Details

analyze280.0ms (5.4%)

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)

sample52.0ms (1%)

Algorithm

1×

intervals

Results

21.0ms	61×	body	1024	valid
14.0ms	153×	body	128	valid
6.0ms	27×	body	512	valid
2.0ms	15×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify170.0ms (3.2%)

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_6501`
6×	`add-exp-log_binary64_6515` `associate-r_binary64_6422` `-un-lft-identity_binary64_6480` `pow1_binary64_6538` `associate-l*_binary64_6423` `add-cube-cbrt_binary64_6512` `add-cbrt-cube_binary64_6513`
2×	`unswap-sqr_binary64_6448` `prod-exp_binary64_6526` `pow-prod-down_binary64_6548` `cbrt-unprod_binary64_6510` `add-log-exp_binary64_6516` `*-commutative_binary64_6413`

Counts

2 → 36

Calls

2 calls:

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

series118.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

61.0ms	(*.f64 z (cos.f64 y))
57.0ms	(*.f64 x (sin.f64 y))

simplify59.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4977	341
1	4977	341

prune47.0ms (0.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	33	9	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	9	43

Merged error: 0.0b

Counts

43 → 9

Compiler

Compiled 658 to 218 computations (66.9% saved)

localize12.0ms (0.2%)

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))

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_6508`
23×	`add-sqr-sqrt_binary64_6501`
15×	`*-un-lft-identity_binary64_6480` `add-cube-cbrt_binary64_6512`
11×	`pow1_binary64_6538`
9×	`pow1/3_binary64_6559`
6×	`add-exp-log_binary64_6515` `associate-r_binary64_6422` `swap-sqr_binary64_6447` `associate-l_binary64_6423`
4×	`unswap-sqr_binary64_6448` `add-log-exp_binary64_6516` `add-cbrt-cube_binary64_6513`
2×	`pow-prod-up_binary64_6547` `pow-prod-down_binary64_6548` `pow-sqr_binary64_6453`
1×	`prod-exp_binary64_6526` `pow-plus_binary64_6540` `cbrt-unprod_binary64_6510` `pow2_binary64_6558` `*-commutative_binary64_6413`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.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))

series559.0ms (10.7%)

Counts

4 → 12

Calls

4 calls:

185.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
133.0ms	(cbrt.f64 (cos.f64 y))
127.0ms	(cbrt.f64 (cos.f64 y))
114.0ms	(cbrt.f64 (cos.f64 y))

simplify76.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4906	772
1	4906	772

prune86.0ms (1.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

Compiler

Compiled 1904 to 544 computations (71.4% 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))

rewrite35.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-exp-log_binary64_6515`
22×	`add-sqr-sqrt_binary64_6501`
19×	`unpow-prod-down_binary64_6556`
18×	`associate-r_binary64_6422`
16×	`prod-exp_binary64_6526`
13×	`*-un-lft-identity_binary64_6480` `add-cube-cbrt_binary64_6512`
11×	`add-cbrt-cube_binary64_6513`
9×	`pow-exp_binary64_6545`
7×	`pow1_binary64_6538` `cbrt-unprod_binary64_6510`
6×	`unswap-sqr_binary64_6448` `cbrt-prod_binary64_6508`
5×	`sqr-pow_binary64_6452` `pow-to-exp_binary64_6546`
4×	`associate-l_binary64_6423` `add-log-exp_binary64_6516`
3×	`pow-unpow_binary64_6554` `unpow2_binary64_6542`
2×	`unpow1/3_binary64_6544` `*-commutative_binary64_6413`
1×	`pow-pow_binary64_6549` `pow-prod-down_binary64_6548` `pow1/3_binary64_6559`

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)))
9.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
3.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (cos.f64 y))

series362.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

157.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
124.0ms	(cbrt.f64 (cos.f64 y))
58.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
23.0ms	(pow.f64 (cos.f64 y) 2)

simplify84.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4806	984
1	4806	984

prune98.0ms (1.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	102	10	112

Merged error: 0.0b

Counts

112 → 10

Compiler

Compiled 1995 to 799 computations (59.9% saved)

localize13.0ms (0.2%)

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_6508`
23×	`add-sqr-sqrt_binary64_6501`
15×	`*-un-lft-identity_binary64_6480` `add-cube-cbrt_binary64_6512`
11×	`pow1_binary64_6538`
9×	`pow1/3_binary64_6559`
6×	`add-exp-log_binary64_6515` `associate-r_binary64_6422` `swap-sqr_binary64_6447` `associate-l_binary64_6423`
4×	`unswap-sqr_binary64_6448` `add-log-exp_binary64_6516` `add-cbrt-cube_binary64_6513`
2×	`pow-prod-up_binary64_6547` `pow-prod-down_binary64_6548` `pow-sqr_binary64_6453`
1×	`prod-exp_binary64_6526` `pow-plus_binary64_6540` `cbrt-unprod_binary64_6510` `pow2_binary64_6558` `*-commutative_binary64_6413`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series619.0ms (11.8%)

Counts

4 → 12

Calls

4 calls:

170.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
153.0ms	(cbrt.f64 x)
151.0ms	(cbrt.f64 x)
144.0ms	(cbrt.f64 x)

simplify68.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4957	563
1	4957	563

prune67.0ms (1.3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	83	12	95

Merged error: 0.0b

Counts

95 → 12

Compiler

Compiled 1584 to 394 computations (75.1% saved)

regimes165.0ms (3.2%)

Compiler: Compiled 1292 to 930 computations (28% 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%)

sample2.2s (41.8%)

Algorithm

1×

intervals

Results

934.0ms	2018×	body	1024	valid
324.0ms	4526×	body	128	valid
224.0ms	989×	body	512	valid
68.0ms	466×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 336 to 244 computations (27.4% saved)

Details

analyze280.0ms (5.4%)

sample52.0ms (1%)

simplify170.0ms (3.2%)

prune2.0ms (0%)

localize9.0ms (0.2%)

rewrite12.0ms (0.2%)

series118.0ms (2.2%)

simplify59.0ms (1.1%)

prune47.0ms (0.9%)

localize12.0ms (0.2%)

rewrite17.0ms (0.3%)

series559.0ms (10.7%)

simplify76.0ms (1.5%)

prune86.0ms (1.7%)

localize15.0ms (0.3%)

rewrite35.0ms (0.7%)

series362.0ms (6.9%)

simplify84.0ms (1.6%)

prune98.0ms (1.9%)

localize13.0ms (0.2%)

rewrite16.0ms (0.3%)

series619.0ms (11.8%)

simplify68.0ms (1.3%)

prune67.0ms (1.3%)

regimes165.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.2s (41.8%)

Profiling