Details

analyze898.0ms (5.1%)

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)

sample163.0ms (0.9%)

Algorithm

1×

intervals

Results

93.0ms	109×	body	1024	valid
29.0ms	49×	body	512	valid
19.0ms	84×	body	128	valid
5.0ms	13×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 101 to 83 computations (17.8% saved)

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4940	77
1	4940	77

prune13.0ms (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 (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))
0.4b	(*.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))

rewrite619.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

87×	`add-sqr-sqrt_binary64_5556`
61×	`*-un-lft-identity_binary64_5534`
53×	`times-frac_binary64_5540`
43×	`associate-l_binary64_5475`
40×	`add-cube-cbrt_binary64_5569`
35×	`cancel-sign-sub-inv_binary64_5500`
20×	`sqrt-prod_binary64_5550`
17×	`difference-of-squares_binary64_5503`
14×	`distribute-rgt-in_binary64_5484` `distribute-lft-in_binary64_5483`
11×	`add-exp-log_binary64_5572` `add-cbrt-cube_binary64_5570`
9×	`distribute-lft-out--_binary64_5486` `associate-r_binary64_5474`
8×	`add-log-exp_binary64_5573` `pow1_binary64_5595`
6×	`difference-of-sqr-1_binary64_5504`
4×	`sub-neg_binary64_5527` `unswap-sqr_binary64_5502`
3×	`flip3--_binary64_5538` `flip--_binary64_5509` `prod-exp_binary64_5583` `cbrt-unprod_binary64_5567` `div-inv_binary64_5531`
2×	`diff-log_binary64_5626` `pow-prod-down_binary64_5605` `associate-r/_binary64_5476` `-commutative_binary64_5465`
1×	`diff-cos_binary64_5685` `div-exp_binary64_5585` `cbrt-undiv_binary64_5568` `associate-*l/_binary64_5477`

Counts

4 → 148

Calls

4 calls:

15.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
15.0ms	(*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))
5.0ms	(-.f64 3 (sqrt.f64 5))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 8805 to 6035 computations (31.5% saved)

series430.0ms (2.5%)

Error

0.3b

Counts

4 → 28

Calls

4 calls:

176.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
109.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
77.0ms	(*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))
0.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 3763 to 2911 computations (22.6% saved)

simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4936	3054
1	4936	3054

prune680.0ms (3.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	167	9	176
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	168	10	178

Error

0.1b

Counts

178 → 10

Compiler

Compiled 10526 to 7271 computations (30.9% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (sqrt.f64 2) (sin.f64 x))
1.0b	(-.f64 3 (sqrt.f64 5))
1.0b	(cbrt.f64 16)
2.2b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite254.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

21×	`add-sqr-sqrt_binary64_5556`
15×	`*-un-lft-identity_binary64_5534`
11×	`add-cube-cbrt_binary64_5569`
9×	`cancel-sign-sub-inv_binary64_5500`
8×	`add-log-exp_binary64_5573` `sqrt-prod_binary64_5550`
6×	`pow1_binary64_5595` `add-exp-log_binary64_5572` `add-cbrt-cube_binary64_5570` `associate-l_binary64_5475`
3×	`difference-of-squares_binary64_5503` `cbrt-prod_binary64_5565` `associate-r_binary64_5474`
2×	`diff-log_binary64_5626` `flip3--_binary64_5538` `sub-neg_binary64_5527` `flip--_binary64_5509` `distribute-lft-out--_binary64_5486` `unswap-sqr_binary64_5502`
1×	`diff-cos_binary64_5685` `pow1/3_binary64_5616` `pow-prod-down_binary64_5605` `prod-exp_binary64_5583` `cbrt-unprod_binary64_5567` `*-commutative_binary64_5465`

Counts

4 → 70

Calls

4 calls:

6.0ms	(*.f64 (sqrt.f64 2) (sin.f64 x))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
5.0ms	(-.f64 3 (sqrt.f64 5))
1.0ms	(cbrt.f64 16)

Compiler

Compiled 4419 to 3148 computations (28.8% saved)

series216.0ms (1.2%)

Error

0.1b

Counts

4 → 17

Calls

4 calls:

119.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
53.0ms	(*.f64 (sqrt.f64 2) (sin.f64 x))
0.0ms	(cbrt.f64 16)
0.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 2548 to 2038 computations (20% saved)

simplify99.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4833	978
1	4833	978

prune312.0ms (1.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	86	11	97

Error

0.1b

Counts

97 → 11

Compiler

Compiled 6014 to 4339 computations (27.9% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 16)
1.0b	(cbrt.f64 16)
1.0b	(cbrt.f64 16)
2.2b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite190.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

10×	`add-sqr-sqrt_binary64_5556` `*-un-lft-identity_binary64_5534`
9×	`cbrt-prod_binary64_5565`
8×	`add-cube-cbrt_binary64_5569`
6×	`add-log-exp_binary64_5573`
4×	`pow1_binary64_5595` `add-exp-log_binary64_5572` `add-cbrt-cube_binary64_5570`
3×	`cancel-sign-sub-inv_binary64_5500` `pow1/3_binary64_5616`
1×	`diff-cos_binary64_5685` `diff-log_binary64_5626` `flip3--_binary64_5538` `sub-neg_binary64_5527` `flip--_binary64_5509` `difference-of-squares_binary64_5503` `distribute-lft-out--_binary64_5486`

Counts

4 → 50

Calls

4 calls:

5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
1.0ms	(cbrt.f64 16)
1.0ms	(cbrt.f64 16)
1.0ms	(cbrt.f64 16)

Compiler

Compiled 3511 to 2611 computations (25.6% saved)

series164.0ms (0.9%)

Error

0.1b

Counts

4 → 11

Calls

4 calls:

128.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(cbrt.f64 16)
0.0ms	(cbrt.f64 16)
0.0ms	(cbrt.f64 16)

Compiler

Compiled 1866 to 1542 computations (17.4% saved)

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5061	578

prune240.0ms (1.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	61	11	72

Error

0.1b

Counts

72 → 11

Compiler

Compiled 4814 to 3616 computations (24.9% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
0.3b	(*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))
0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
2.2b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite982.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

101×	`add-sqr-sqrt_binary64_5556`
74×	`*-un-lft-identity_binary64_5534`
72×	`times-frac_binary64_5540`
55×	`cancel-sign-sub-inv_binary64_5500`
53×	`add-cube-cbrt_binary64_5569`
44×	`associate-l_binary64_5475`
28×	`distribute-rgt-in_binary64_5484` `distribute-lft-in_binary64_5483`
17×	`difference-of-squares_binary64_5503`
16×	`add-exp-log_binary64_5572` `add-cbrt-cube_binary64_5570` `sqrt-prod_binary64_5550`
15×	`associate-r_binary64_5474`
13×	`pow1_binary64_5595`
10×	`associate-*r/_binary64_5476`
9×	`distribute-lft-out--_binary64_5486`
8×	`flip3--_binary64_5538` `flip--_binary64_5509`
6×	`add-log-exp_binary64_5573` `prod-exp_binary64_5583` `cbrt-unprod_binary64_5567` `difference-of-sqr-1_binary64_5504`
5×	`sub-neg_binary64_5527` `pow-prod-down_binary64_5605` `div-inv_binary64_5531`
4×	`unswap-sqr_binary64_5502` `frac-times_binary64_5544`
3×	`-commutative_binary64_5465` `associate-l/_binary64_5477`
1×	`diff-cos_binary64_5685` `diff-log_binary64_5626` `div-exp_binary64_5585` `cbrt-undiv_binary64_5568`

Counts

4 → 185

Calls

4 calls:

22.0ms	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
17.0ms	(*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))
15.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 11974 to 8151 computations (31.9% saved)

series738.0ms (4.2%)

Error

0.1b

Counts

4 → 39

Calls

4 calls:

276.0ms	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
172.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
107.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
80.0ms	(*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))

Compiler

Compiled 5401 to 4229 computations (21.7% saved)

simplify99.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4979	6094
1	4979	6094

prune861.0ms (4.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	221	3	224
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	223	12	235

Error

0.1b

Counts

235 → 12

Compiler

Compiled 13688 to 9379 computations (31.5% saved)

regimes1.0s (5.8%)

Accuracy

Total 0.3b remaining (75.1%)

Threshold costs 0.3b (75.1%)

Compiler

Compiled 16118 to 13054 computations (19% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	154	106
1	154	106

end0.0ms (0%)

sample9.2s (52.5%)

Algorithm

1×

intervals

Results

3.1s	3502×	body	1024	valid
815.0ms	1331×	body	512	valid
458.0ms	2514×	body	128	valid
252.0ms	639×	body	256	valid
20.0ms	14×	body	2048	valid

Compiler

Compiled 5454 to 4420 computations (19% saved)

Details

analyze898.0ms (5.1%)

sample163.0ms (0.9%)

simplify48.0ms (0.3%)

prune13.0ms (0.1%)

localize30.0ms (0.2%)

rewrite619.0ms (3.5%)

series430.0ms (2.5%)

simplify82.0ms (0.5%)

prune680.0ms (3.9%)

localize36.0ms (0.2%)

rewrite254.0ms (1.5%)

series216.0ms (1.2%)

simplify99.0ms (0.6%)

prune312.0ms (1.8%)

localize43.0ms (0.2%)

rewrite190.0ms (1.1%)

series164.0ms (0.9%)

simplify66.0ms (0.4%)

prune240.0ms (1.4%)

localize32.0ms (0.2%)

rewrite982.0ms (5.6%)

series738.0ms (4.2%)

simplify99.0ms (0.6%)

prune861.0ms (4.9%)

regimes1.0s (5.8%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample9.2s (52.5%)

Profiling