Details

analyze865.0ms (7.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5431	154
0	2	2
1	2	2

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
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
74.9%	25%	0.1%	9
74.9%	25%	0.1%	10
74.9%	25%	0.1%	11
74.9%	25%	0.1%	12
74.9%	25%	0.1%	13
74.9%	25%	0.1%	14

Compiler

Compiled 51 to 41 computations (19.6% saved)

sample155.0ms (1.4%)

Algorithm

1×

intervals

Results

98.0ms	111×	body	1024	valid
22.0ms	34×	body	512	valid
15.0ms	89×	body	128	valid
8.0ms	22×	body	256	valid

Compiler

Compiled 101 to 83 computations (17.8% saved)

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4940	77
1	4940	77

prune8.0ms (0.1%)

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

Error

0.3b

Counts

2 → 2

Compiler

Compiled 146 to 116 computations (20.5% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
0.5b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0b	(-.f64 3 (sqrt.f64 5))
2.2b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite83.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64_5556`
41×	`cancel-sign-sub-inv_binary64_5500`
35×	`*-un-lft-identity_binary64_5534`
30×	`flip--_binary64_5509` `flip3--_binary64_5538`
28×	`associate-*r/_binary64_5476` `frac-times_binary64_5544`
27×	`add-cube-cbrt_binary64_5569`
19×	`times-frac_binary64_5540`
18×	`distribute-rgt-in_binary64_5484` `distribute-lft-in_binary64_5483`
15×	`add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572` `pow1_binary64_5595`
14×	`associate-*l/_binary64_5477`
12×	`associate-r_binary64_5474`
8×	`sqrt-prod_binary64_5550` `add-log-exp_binary64_5573`
7×	`cbrt-unprod_binary64_5567` `associate-l_binary64_5475` `prod-exp_binary64_5583` `pow-prod-down_binary64_5605`
6×	`difference-of-squares_binary64_5503` `sub-neg_binary64_5527`
4×	`distribute-lft-out--_binary64_5486`
2×	`div-inv_binary64_5531` `diff-log_binary64_5626` `*-commutative_binary64_5465` `unswap-sqr_binary64_5502` `diff-cos_binary64_5685`

Counts

4 → 150

Calls

4 calls:

27.0ms	(.f64 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
15.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
8.0ms	(-.f64 3 (sqrt.f64 5))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series275.0ms (2.5%)

Counts

4 → 10

Calls

4 calls:

174.0ms	(.f64 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
62.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
38.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(-.f64 3 (sqrt.f64 5))

simplify103.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5060	5629

prune581.0ms (5.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	152	8	160
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	153	9	162

Error

0.2b

Counts

162 → 9

Compiler

Compiled 10339 to 6700 computations (35.2% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0b	(-.f64 3 (sqrt.f64 5))
2.2b	(-.f64 (cos.f64 x) (cos.f64 y))
3.6b	(log.f64 (exp.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))))))

rewrite74.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`cancel-sign-sub-inv_binary64_5500`
70×	`distribute-rgt-in_binary64_5484` `distribute-lft-in_binary64_5483`
68×	`add-sqr-sqrt_binary64_5556`
59×	`*-un-lft-identity_binary64_5534` `log-prod_binary64_5620`
56×	`exp-sum_binary64_5580`
55×	`times-frac_binary64_5540`
53×	`add-cube-cbrt_binary64_5569`
11×	`add-log-exp_binary64_5573`
8×	`sqrt-prod_binary64_5550` `sub-neg_binary64_5527`
7×	`pow1_binary64_5595`
6×	`div-inv_binary64_5531` `associate-l_binary64_5475` `add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572` `associate-r_binary64_5474`
5×	`difference-of-squares_binary64_5503`
4×	`log-pow_binary64_5623`
3×	`diff-log_binary64_5626` `distribute-lft-out--_binary64_5486` `flip--_binary64_5509` `flip3--_binary64_5538`
2×	`associate-*r/_binary64_5476` `exp-to-pow_binary64_5596` `unswap-sqr_binary64_5502`
1×	`cbrt-unprod_binary64_5567` `*-commutative_binary64_5465` `exp-prod_binary64_5586` `rem-log-exp_binary64_5575` `prod-exp_binary64_5583` `pow-prod-down_binary64_5605` `diff-cos_binary64_5685`

Counts

4 → 163

Calls

4 calls:

20.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
12.0ms	(log.f64 (exp.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))))))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
5.0ms	(-.f64 3 (sqrt.f64 5))

series423.0ms (3.8%)

Counts

4 → 10

Calls

4 calls:

329.0ms	(log.f64 (exp.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))))))
57.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
37.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(-.f64 3 (sqrt.f64 5))

simplify102.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5223	6863

prune854.0ms (7.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	171	2	173
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	173	9	182

Error

0.1b

Counts

182 → 9

Compiler

Compiled 11406 to 7466 computations (34.5% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3))
0.5b	(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3)
1.0b	(-.f64 3 (sqrt.f64 5))
2.2b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite36.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_5556`
25×	`*-un-lft-identity_binary64_5534`
18×	`cbrt-prod_binary64_5565`
13×	`add-cube-cbrt_binary64_5569`
12×	`cube-prod_binary64_5562` `unpow-prod-down_binary64_5613`
9×	`cancel-sign-sub-inv_binary64_5500`
8×	`add-log-exp_binary64_5573`
7×	`difference-of-squares_binary64_5503`
6×	`distribute-lft-out--_binary64_5486`
5×	`add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572` `pow1_binary64_5595` `diff-cos_binary64_5685`
4×	`sqrt-prod_binary64_5550` `cube-div_binary64_5563` `flip--_binary64_5509` `flip3--_binary64_5538`
3×	`pow-unpow_binary64_5611`
2×	`cube-mult_binary64_5564` `diff-log_binary64_5626` `cbrt-div_binary64_5566` `sqr-pow_binary64_5506` `sub-neg_binary64_5527` `unpow3_binary64_5600`
1×	`rem-cbrt-cube_binary64_5558` `pow-pow_binary64_5606` `pow-to-exp_binary64_5603` `rem-cube-cbrt_binary64_5557` `pow-exp_binary64_5602` `pow1/3_binary64_5616`

Counts

4 → 97

Calls

4 calls:

6.0ms	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3))
5.0ms	(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3)
5.0ms	(-.f64 3 (sqrt.f64 5))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series154.0ms (1.4%)

Counts

4 → 10

Calls

4 calls:

73.0ms	(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3)
43.0ms	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3))
38.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(-.f64 3 (sqrt.f64 5))

simplify88.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4997	1587
1	4997	1587

prune307.0ms (2.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	107	9	116

Error

0.1b

Counts

116 → 9

Compiler

Compiled 6647 to 4456 computations (33% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2))))
0.3b	(*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2)))
1.0b	(-.f64 3 (sqrt.f64 5))
2.2b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite59.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_5556`
25×	`sqrt-prod_binary64_5550`
20×	`*-un-lft-identity_binary64_5534`
15×	`associate-l_binary64_5475`
14×	`add-cube-cbrt_binary64_5569`
11×	`add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572` `pow1_binary64_5595`
10×	`associate-r_binary64_5474`
9×	`cancel-sign-sub-inv_binary64_5500`
8×	`add-log-exp_binary64_5573`
5×	`difference-of-squares_binary64_5503`
4×	`associate-*l/_binary64_5477` `cbrt-unprod_binary64_5567` `flip--_binary64_5509` `flip3--_binary64_5538` `prod-exp_binary64_5583` `pow-prod-down_binary64_5605`
3×	`distribute-lft-out--_binary64_5486` `unswap-sqr_binary64_5502`
2×	`associate-r/_binary64_5476` `diff-log_binary64_5626` `-commutative_binary64_5465` `sub-neg_binary64_5527`
1×	`times-frac_binary64_5540` `diff-cos_binary64_5685`

Counts

4 → 94

Calls

4 calls:

17.0ms	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2))))
17.0ms	(*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2)))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
5.0ms	(-.f64 3 (sqrt.f64 5))

series174.0ms (1.6%)

Counts

4 → 10

Calls

4 calls:

74.0ms	(*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2)))
59.0ms	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2))))
41.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(-.f64 3 (sqrt.f64 5))

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5363	1865

prune323.0ms (2.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	105	8	113

Error

0.1b

Counts

113 → 8

Compiler

Compiled 6217 to 4310 computations (30.7% saved)

regimes283.0ms (2.5%)

Accuracy

Total 0.3b remaining (69.6%)

Threshold costs 0.3b (69.6%)

Compiler

Compiled 4310 to 3346 computations (22.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	124	84
1	124	84

end0.0ms (0%)

sample5.9s (53.1%)

Algorithm

1×

intervals

Results

3.0s	3479×	body	1024	valid
805.0ms	1395×	body	512	valid
449.0ms	2485×	body	128	valid
239.0ms	624×	body	256	valid
22.0ms	17×	body	2048	valid

Compiler

Compiled 1505 to 1171 computations (22.2% saved)

Details

analyze865.0ms (7.8%)

sample155.0ms (1.4%)

simplify48.0ms (0.4%)

prune8.0ms (0.1%)

localize30.0ms (0.3%)

rewrite83.0ms (0.7%)

series275.0ms (2.5%)

simplify103.0ms (0.9%)

prune581.0ms (5.2%)

localize33.0ms (0.3%)

rewrite74.0ms (0.7%)

series423.0ms (3.8%)

simplify102.0ms (0.9%)

prune854.0ms (7.7%)

localize37.0ms (0.3%)

rewrite36.0ms (0.3%)

series154.0ms (1.4%)

simplify88.0ms (0.8%)

prune307.0ms (2.8%)

localize32.0ms (0.3%)

rewrite59.0ms (0.5%)

series174.0ms (1.6%)

simplify76.0ms (0.7%)

prune323.0ms (2.9%)

regimes283.0ms (2.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample5.9s (53.1%)

Profiling