Details

analyze740.0ms (5%)

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)

sample170.0ms (1.1%)

Algorithm

1×

intervals

Results

103.0ms	107×	body	1024	valid
29.0ms	47×	body	512	valid
19.0ms	84×	body	128	valid
7.0ms	18×	body	256	valid

Compiler

Compiled 101 to 83 computations (17.8% saved)

simplify216.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4940	77
1	4940	77

prune14.0ms (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

Merged error: 0.4b

Counts

2 → 2

Compiler

Compiled 244 to 194 computations (20.5% saved)

localize34.0ms (0.2%)

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)))
0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0b	(-.f64 3 (sqrt.f64 5))
1.2b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite91.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64_6293`
41×	`cancel-sign-sub-inv_binary64_6237`
35×	`*-un-lft-identity_binary64_6271`
30×	`flip3--_binary64_6275` `flip--_binary64_6246`
28×	`frac-times_binary64_6281` `associate-*r/_binary64_6213`
27×	`add-cube-cbrt_binary64_6306`
19×	`times-frac_binary64_6277`
18×	`distribute-lft-in_binary64_6220` `distribute-rgt-in_binary64_6221`
15×	`pow1_binary64_6332` `add-exp-log_binary64_6309` `add-cbrt-cube_binary64_6307`
14×	`associate-*l/_binary64_6214`
12×	`associate-r_binary64_6211`
8×	`add-log-exp_binary64_6310` `sqrt-prod_binary64_6287`
7×	`pow-prod-down_binary64_6342` `associate-l_binary64_6212` `prod-exp_binary64_6320` `cbrt-unprod_binary64_6304`
6×	`sub-neg_binary64_6264` `difference-of-squares_binary64_6240`
4×	`distribute-lft-out--_binary64_6223`
2×	`unswap-sqr_binary64_6239` `diff-log_binary64_6363` `div-inv_binary64_6268` `*-commutative_binary64_6202` `diff-cos_binary64_6422`

Counts

4 → 150

Calls

4 calls:

31.0ms	(.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)))
19.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
6.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
6.0ms	(-.f64 3 (sqrt.f64 5))

series579.0ms (3.9%)

Counts

4 → 10

Calls

4 calls:

375.0ms	(.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)))
122.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
82.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(-.f64 3 (sqrt.f64 5))

simplify106.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5053	5629

prune1.1s (7.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	151	9	160
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	152	10	162

Merged error: 0.2b

Counts

162 → 10

Compiler

Compiled 21066 to 15001 computations (28.8% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
0.4b	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2))))
1.0b	(-.f64 3 (sqrt.f64 5))
1.2b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite95.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`associate-*l/_binary64_6214`
30×	`flip3--_binary64_6275` `flip--_binary64_6246`
28×	`frac-times_binary64_6281` `associate-*r/_binary64_6213`
23×	`pow1_binary64_6332` `add-exp-log_binary64_6309` `add-cbrt-cube_binary64_6307`
21×	`add-sqr-sqrt_binary64_6293`
19×	`*-un-lft-identity_binary64_6271`
15×	`cancel-sign-sub-inv_binary64_6237`
13×	`pow-prod-down_binary64_6342` `add-cube-cbrt_binary64_6306` `prod-exp_binary64_6320` `cbrt-unprod_binary64_6304` `sqrt-prod_binary64_6287`
10×	`associate-l_binary64_6212`
8×	`add-log-exp_binary64_6310`
7×	`associate-r_binary64_6211`
4×	`sub-neg_binary64_6264` `distribute-lft-in_binary64_6220` `distribute-rgt-in_binary64_6221` `difference-of-squares_binary64_6240`
3×	`distribute-lft-out--_binary64_6223`
2×	`diff-log_binary64_6363` `*-commutative_binary64_6202` `diff-cos_binary64_6422`

Counts

4 → 124

Calls

4 calls:

39.0ms	(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
19.0ms	(.f64 (sqrt.f64 (sqrt.f64 2)) (.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))

series581.0ms (3.9%)

Counts

4 → 10

Calls

4 calls:

377.0ms	(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
127.0ms	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2))))
76.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(-.f64 3 (sqrt.f64 5))

simplify100.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4960	5046
1	4960	5046

prune652.0ms (4.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	130	4	134
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	134	10	144

Merged error: 0.2b

Counts

144 → 10

Compiler

Compiled 12590 to 8604 computations (31.7% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
0.3b	(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
0.4b	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2))))
1.2b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite139.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`associate-*l/_binary64_6214`
36×	`associate-*r/_binary64_6213`
35×	`cancel-sign-sub-inv_binary64_6237` `flip3--_binary64_6275` `flip--_binary64_6246` `add-sqr-sqrt_binary64_6293`
32×	`pow1_binary64_6332` `frac-times_binary64_6281` `add-exp-log_binary64_6309` `*-un-lft-identity_binary64_6271` `add-cbrt-cube_binary64_6307`
26×	`add-cube-cbrt_binary64_6306`
19×	`pow-prod-down_binary64_6342` `prod-exp_binary64_6320` `cbrt-unprod_binary64_6304` `times-frac_binary64_6277`
18×	`distribute-lft-in_binary64_6220` `distribute-rgt-in_binary64_6221`
13×	`associate-r_binary64_6211`
11×	`associate-l_binary64_6212`
9×	`sqrt-prod_binary64_6287`
6×	`add-log-exp_binary64_6310`
5×	`sub-neg_binary64_6264`
4×	`difference-of-squares_binary64_6240`
3×	`distribute-lft-out--_binary64_6223` `*-commutative_binary64_6202`
2×	`div-inv_binary64_6268` `diff-cos_binary64_6422`
1×	`diff-log_binary64_6363`

Counts

4 → 164

Calls

4 calls:

38.0ms	(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
32.0ms	(.f64 (.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
19.0ms	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2))))
7.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series796.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

372.0ms	(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
219.0ms	(.f64 (.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
124.0ms	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2))))
81.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify130.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5029	7546

prune835.0ms (5.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	177	9	186

Merged error: 0.2b

Counts

186 → 9

Compiler

Compiled 13532 to 9069 computations (33% saved)

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
0.6b	(pow.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) 3)
1.2b	(-.f64 (cos.f64 x) (cos.f64 y))
7.8b	(cbrt.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) 3))

rewrite85.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_6293`
29×	`cancel-sign-sub-inv_binary64_6237`
28×	`*-un-lft-identity_binary64_6271`
24×	`add-cube-cbrt_binary64_6306`
19×	`times-frac_binary64_6277`
18×	`associate-*r/_binary64_6213`
16×	`cube-div_binary64_6300`
14×	`distribute-lft-in_binary64_6220` `flip3--_binary64_6275` `flip--_binary64_6246` `distribute-rgt-in_binary64_6221`
12×	`pow1_binary64_6332` `add-exp-log_binary64_6309` `add-cbrt-cube_binary64_6307`
8×	`cbrt-div_binary64_6303` `frac-times_binary64_6281` `cbrt-prod_binary64_6302`
6×	`associate-r_binary64_6211` `associate-l_binary64_6212` `add-log-exp_binary64_6310`
4×	`pow-prod-down_binary64_6342` `prod-exp_binary64_6320` `cbrt-unprod_binary64_6304` `associate-*l/_binary64_6214` `sqrt-prod_binary64_6287`
3×	`rem-cube-cbrt_binary64_6294` `sub-neg_binary64_6264` `pow-pow_binary64_6343` `difference-of-squares_binary64_6240` `pow-unpow_binary64_6348` `pow-exp_binary64_6339`
2×	`unswap-sqr_binary64_6239` `distribute-lft-out--_binary64_6223` `cube-prod_binary64_6299` `unpow-prod-down_binary64_6350` `div-inv_binary64_6268` `cube-mult_binary64_6301` `sqr-pow_binary64_6243` `unpow3_binary64_6337`
1×	`pow-to-exp_binary64_6340` `diff-log_binary64_6363` `rem-cbrt-cube_binary64_6295` `pow1/3_binary64_6353` `*-commutative_binary64_6202` `diff-cos_binary64_6422`

Counts

4 → 130

Calls

4 calls:

24.0ms	(pow.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) 3)
18.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
6.0ms	(cbrt.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) 3))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series1.3s (8.8%)

Counts

4 → 12

Calls

4 calls:

882.0ms	(pow.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) 3)
226.0ms	(cbrt.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) 3))
122.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
73.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify117.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4929	4298
1	4929	4298

prune761.0ms (5.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	140	11	151

Merged error: 0.1b

Counts

151 → 11

Compiler

Compiled 11162 to 7829 computations (29.9% saved)

regimes117.0ms (0.8%)

Compiler: Compiled 1338 to 1062 computations (20.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	122	80
1	122	80

end0.0ms (0%)

sample6.0s (40.2%)

Algorithm

1×

intervals

Results

3.5s	3460×	body	1024	valid
864.0ms	1406×	body	512	valid
472.0ms	2480×	body	128	valid
252.0ms	634×	body	256	valid
37.0ms	20×	body	2048	valid

Compiler

Compiled 768 to 610 computations (20.6% saved)

Details

analyze740.0ms (5%)

sample170.0ms (1.1%)

simplify216.0ms (1.5%)

prune14.0ms (0.1%)

localize34.0ms (0.2%)

rewrite91.0ms (0.6%)

series579.0ms (3.9%)

simplify106.0ms (0.7%)

prune1.1s (7.4%)

localize36.0ms (0.2%)

rewrite95.0ms (0.6%)

series581.0ms (3.9%)

simplify100.0ms (0.7%)

prune652.0ms (4.4%)

localize43.0ms (0.3%)

rewrite139.0ms (0.9%)

series796.0ms (5.4%)

simplify130.0ms (0.9%)

prune835.0ms (5.6%)

localize42.0ms (0.3%)

rewrite85.0ms (0.6%)

series1.3s (8.8%)

simplify117.0ms (0.8%)

prune761.0ms (5.1%)

regimes117.0ms (0.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample6.0s (40.2%)

Profiling