Details

analyze753.0ms (5.7%)

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
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)

sample173.0ms (1.3%)

Algorithm

1×

intervals

Results

105.0ms	115×	body	1024	valid
25.0ms	40×	body	512	valid
16.0ms	83×	body	128	valid
7.0ms	17×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 101 to 83 computations (17.8% saved)

simplify135.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4940	77
1	4940	77

prune20.0ms (0.2%)

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)

localize32.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.1b	(+.f64 3 (+.f64 (.f64 (cos.f64 y) (.f64 3/2 (-.f64 3 (sqrt.f64 5)))) (.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))))
0.1b	(-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))
0.1b	(+.f64 2 (.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))))
0.0b	(-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))
0.5b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
0.6b	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
1.0b	(-.f64 3 (sqrt.f64 5))
2.5b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite59.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`cancel-sign-sub-inv_binary64_6523`
44×	`add-sqr-sqrt_binary64_6579`
35×	`*-un-lft-identity_binary64_6557`
30×	`distribute-lft-in_binary64_6506` `distribute-rgt-in_binary64_6507`
29×	`add-cube-cbrt_binary64_6592`
19×	`times-frac_binary64_6563`
11×	`add-cbrt-cube_binary64_6593` `pow1_binary64_6618` `add-exp-log_binary64_6595`
9×	`associate-l_binary64_6498`
8×	`sqrt-prod_binary64_6573` `sub-neg_binary64_6550` `add-log-exp_binary64_6596`
7×	`associate-r_binary64_6497`
6×	`associate-*r/_binary64_6499`
5×	`difference-of-squares_binary64_6526`
4×	`pow-prod-down_binary64_6628` `flip--_binary64_6532` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `flip3--_binary64_6561`
3×	`distribute-lft-out--_binary64_6509`
2×	`*-commutative_binary64_6488` `unswap-sqr_binary64_6525` `div-inv_binary64_6554` `diff-log_binary64_6649`
1×	`diff-cos_binary64_6708`

Counts

4 → 128

Calls

8 calls:

15.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
10.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
5.0ms	(-.f64 3 (sqrt.f64 5))
0.0ms	(-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))

series306.0ms (2.3%)

Counts

4 → 24

Calls

4 calls:

146.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
102.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
58.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
0.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 1897 to 1537 computations (19% saved)

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5009	2522

prune672.0ms (5.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	142	10	152
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	143	11	154

Error

0.1b

Counts

154 → 11

Compiler

Compiled 8594 to 5751 computations (33.1% saved)

localize45.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.1b	(+.f64 3 (+.f64 (.f64 (cos.f64 y) (.f64 3/2 (-.f64 3 (sqrt.f64 5)))) (.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))))
0.1b	(+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 16)) 3))))
0.1b	(-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))
0.1b	(+.f64 2 (.f64 (.f64 (+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 16)) 3)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))))
0.8b	(pow.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 16)) 3)
1.0b	(-.f64 3 (sqrt.f64 5))
1.0b	(cbrt.f64 16)
2.5b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite49.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`cbrt-prod_binary64_6588`
72×	`times-frac_binary64_6563`
65×	`add-sqr-sqrt_binary64_6579`
63×	`*-un-lft-identity_binary64_6557`
59×	`add-cube-cbrt_binary64_6592`
40×	`cube-prod_binary64_6585` `unpow-prod-down_binary64_6636`
9×	`cancel-sign-sub-inv_binary64_6523`
8×	`add-log-exp_binary64_6596`
7×	`add-exp-log_binary64_6595`
5×	`add-cbrt-cube_binary64_6593` `pow1_binary64_6618`
4×	`sqrt-prod_binary64_6573`
3×	`difference-of-squares_binary64_6526` `pow-unpow_binary64_6634`
2×	`pow-exp_binary64_6625` `flip--_binary64_6532` `sub-neg_binary64_6550` `div-inv_binary64_6554` `rem-cube-cbrt_binary64_6580` `diff-log_binary64_6649` `distribute-lft-out--_binary64_6509` `flip3--_binary64_6561`
1×	`diff-cos_binary64_6708` `pow-pow_binary64_6629` `sqr-pow_binary64_6529` `pow1/3_binary64_6639` `div-exp_binary64_6608` `unpow3_binary64_6623` `cube-div_binary64_6586` `pow-to-exp_binary64_6626` `cube-mult_binary64_6587` `cbrt-undiv_binary64_6591`

Counts

4 → 148

Calls

8 calls:

10.0ms	(pow.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 16)) 3)
5.0ms	(-.f64 3 (sqrt.f64 5))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
1.0ms	(cbrt.f64 16)
0.0ms	(+.f64 2 (.f64 (.f64 (+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 16)) 3)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))))

series339.0ms (2.6%)

Counts

4 → 16

Calls

4 calls:

226.0ms	(pow.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 16)) 3)
112.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(cbrt.f64 16)
0.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 1389 to 1162 computations (16.3% saved)

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4826	2436
1	4826	2436

prune699.0ms (5.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	162	2	164
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	163	12	175

Error

0.1b

Counts

175 → 12

Compiler

Compiled 10527 to 7273 computations (30.9% saved)

localize49.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.1b	(+.f64 3 (+.f64 (.f64 (cos.f64 y) (.f64 3/2 (-.f64 3 (sqrt.f64 5)))) (.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))))
0.1b	(+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 16) (cbrt.f64 16))) (cbrt.f64 (cbrt.f64 16)))) 3))))
0.1b	(-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))
0.1b	(+.f64 2 (.f64 (.f64 (+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 16) (cbrt.f64 16))) (cbrt.f64 (cbrt.f64 16)))) 3)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))))
1.0b	(cbrt.f64 16)
1.0b	(cbrt.f64 16)
1.0b	(cbrt.f64 16)
2.5b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite18.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
9×	`cbrt-prod_binary64_6588`
8×	`add-cube-cbrt_binary64_6592`
6×	`add-log-exp_binary64_6596`
4×	`add-cbrt-cube_binary64_6593` `pow1_binary64_6618` `add-exp-log_binary64_6595`
3×	`pow1/3_binary64_6639` `cancel-sign-sub-inv_binary64_6523`
1×	`diff-cos_binary64_6708` `flip--_binary64_6532` `sub-neg_binary64_6550` `difference-of-squares_binary64_6526` `diff-log_binary64_6649` `distribute-lft-out--_binary64_6509` `flip3--_binary64_6561`

Counts

4 → 50

Calls

8 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)
0.0ms	(+.f64 2 (.f64 (.f64 (+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 16) (cbrt.f64 16))) (cbrt.f64 (cbrt.f64 16)))) 3)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))))

series112.0ms (0.9%)

Counts

4 → 10

Calls

4 calls:

112.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(cbrt.f64 16)
0.0ms	(cbrt.f64 16)
0.0ms	(cbrt.f64 16)

Compiler

Compiled 1007 to 862 computations (14.4% saved)

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4894	554
1	4894	554

prune237.0ms (1.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	61	11	72

Error

0.1b

Counts

72 → 11

Compiler

Compiled 4678 to 3445 computations (26.4% saved)

localize40.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.1b	(+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 (sqrt.f64 2) (neg.f64 (log.f64 (exp.f64 (/.f64 (sin.f64 y) 16))))))
0.1b	(-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))
0.1b	(+.f64 2 (.f64 (.f64 (+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 (sqrt.f64 2) (neg.f64 (log.f64 (exp.f64 (/.f64 (sin.f64 y) 16)))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))))
0.0b	(exp.f64 (/.f64 (sin.f64 y) 16))
0.6b	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
1.0b	(-.f64 3 (sqrt.f64 5))
2.5b	(-.f64 (cos.f64 x) (cos.f64 y))
3.8b	(log.f64 (exp.f64 (/.f64 (sin.f64 y) 16)))

rewrite43.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_6579`
24×	`*-un-lft-identity_binary64_6557`
21×	`cancel-sign-sub-inv_binary64_6523`
20×	`add-cube-cbrt_binary64_6592`
16×	`distribute-lft-in_binary64_6506` `distribute-rgt-in_binary64_6507`
14×	`log-pow_binary64_6646`
13×	`exp-prod_binary64_6609`
10×	`pow1_binary64_6618`
9×	`add-cbrt-cube_binary64_6593` `add-exp-log_binary64_6595` `times-frac_binary64_6563`
8×	`add-log-exp_binary64_6596`
6×	`sub-neg_binary64_6550`
4×	`sqrt-prod_binary64_6573` `associate-*r/_binary64_6499`
3×	`pow-prod-down_binary64_6628` `flip--_binary64_6532` `difference-of-squares_binary64_6526` `log-prod_binary64_6643` `prod-exp_binary64_6606` `associate-l_binary64_6498` `cbrt-unprod_binary64_6590` `flip3--_binary64_6561`
2×	`diff-log_binary64_6649` `distribute-lft-out--_binary64_6509`
1×	`-commutative_binary64_6488` `diff-cos_binary64_6708` `associate-r*_binary64_6497` `rem-log-exp_binary64_6598` `div-inv_binary64_6554`

Counts

4 → 98

Calls

8 calls:

11.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
5.0ms	(log.f64 (exp.f64 (/.f64 (sin.f64 y) 16)))
5.0ms	(-.f64 3 (sqrt.f64 5))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(exp.f64 (/.f64 (sin.f64 y) 16))

series276.0ms (2.1%)

Counts

4 → 20

Calls

4 calls:

108.0ms	(log.f64 (exp.f64 (/.f64 (sin.f64 y) 16)))
104.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
64.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
0.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 1727 to 1430 computations (17.2% saved)

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5312	1519

prune417.0ms (3.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	117	12	129

Error

0.1b

Counts

129 → 12

Compiler

Compiled 6854 to 4728 computations (31% saved)

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	749	3311
1	749	3311

regimes296.0ms (2.3%)

Compiler: Compiled 4112 to 3294 computations (19.9% saved)

bsearch0.0ms (0%)

regimes267.0ms (2%)

Compiler: Compiled 3702 to 2972 computations (19.7% saved)

bsearch0.0ms (0%)

regimes67.0ms (0.5%)

Compiler: Compiled 766 to 640 computations (16.4% saved)

bsearch0.0ms (0%)

regimes61.0ms (0.5%)

Compiler: Compiled 670 to 564 computations (15.8% saved)

bsearch0.0ms (0%)

regimes85.0ms (0.6%)

Compiler: Compiled 574 to 488 computations (15% saved)

bsearch224.0ms (1.7%)

Steps

Iters	Range		Point
10	4.980887860223029e-07	3983.058783909042	0.023668285587148744
10	-14540.075069384438	-3.5396806990956674e-15	-0.028121830058273272

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes56.0ms (0.4%)

Compiler: Compiled 186 to 170 computations (8.6% saved)

bsearch220.0ms (1.7%)

Steps

Iters	Range		Point
10	4.980887860223029e-07	3983.058783909042	1.7349909248656208e-05
10	-14540.075069384438	-3.5396806990956674e-15	-0.0001083584555664739

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes22.0ms (0.2%)

Compiler: Compiled 96 to 96 computations (0% saved)

bsearch0.0ms (0%)

regimes19.0ms (0.1%)

Accuracy

Total 0.3b remaining (74.6%)

Threshold costs 0.3b (74.6%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch22.0ms (0.2%)

Compiler: Compiled 531 to 404 computations (23.9% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	217	717
1	217	717

end0.0ms (0%)

sample7.0s (52.9%)

Algorithm

1×

intervals

Results

3.1s	3504×	body	1024	valid
833.0ms	1371×	body	512	valid
476.0ms	2514×	body	128	valid
225.0ms	578×	body	256	valid
48.0ms	33×	body	2048	valid

Compiler

Compiled 2552 to 2036 computations (20.2% saved)

Pareto

0.2213550555390665

Details

analyze753.0ms (5.7%)

sample173.0ms (1.3%)

simplify135.0ms (1%)

prune20.0ms (0.2%)

localize32.0ms (0.2%)

rewrite59.0ms (0.4%)

series306.0ms (2.3%)

simplify82.0ms (0.6%)

prune672.0ms (5.1%)

localize45.0ms (0.3%)

rewrite49.0ms (0.4%)

series339.0ms (2.6%)

simplify93.0ms (0.7%)

prune699.0ms (5.3%)

localize49.0ms (0.4%)

rewrite18.0ms (0.1%)

series112.0ms (0.9%)

simplify63.0ms (0.5%)

prune237.0ms (1.8%)

localize40.0ms (0.3%)

rewrite43.0ms (0.3%)

series276.0ms (2.1%)

simplify66.0ms (0.5%)

prune417.0ms (3.2%)

simplify51.0ms (0.4%)

regimes296.0ms (2.3%)

bsearch0.0ms (0%)

regimes267.0ms (2%)

bsearch0.0ms (0%)

regimes67.0ms (0.5%)

bsearch0.0ms (0%)

regimes61.0ms (0.5%)

bsearch0.0ms (0%)

regimes85.0ms (0.6%)

bsearch224.0ms (1.7%)

regimes56.0ms (0.4%)

bsearch220.0ms (1.7%)

regimes22.0ms (0.2%)

bsearch0.0ms (0%)

regimes19.0ms (0.1%)

bsearch22.0ms (0.2%)

simplify11.0ms (0.1%)

end0.0ms (0%)

sample7.0s (52.9%)

Profiling