Details

analyze460.0ms (9.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	18
1	29	18
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
0%	99.9%	0.1%	4
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
74.9%	25%	0.1%	7
76.5%	23.4%	0.1%	8
84.3%	15.6%	0.1%	9
86.2%	13.7%	0.1%	10
91.3%	8.6%	0.1%	11
92.6%	7.3%	0.1%	12
95.4%	4.5%	0.1%	13
96.1%	3.8%	0.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample42.0ms (0.9%)

Algorithm

1×

intervals

Results

12.0ms	179×	body	128	valid
10.0ms	40×	body	1024	valid
5.0ms	24×	body	512	valid
2.0ms	13×	body	256	valid

Compiler

Compiled 13 to 13 computations (0% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	17	9
1	17	9

prune3.0ms (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

0.2b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (sin.f64 y) y)
0.1b	(*.f64 x (/.f64 (sin.f64 y) y))

rewrite75.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-sqr-sqrt_binary64_2828`
19×	`times-frac_binary64_2812`
18×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
13×	`associate-r_binary64_2746`
9×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
4×	`pow1_binary64_2867`
3×	`associate-l_binary64_2747` `associate-/l_binary64_2751` `associate-/r_binary64_2750`
2×	`div-exp_binary64_2857` `prod-exp_binary64_2855` `add-log-exp_binary64_2845` `cbrt-unprod_binary64_2839` `cbrt-undiv_binary64_2840` `unswap-sqr_binary64_2774` `div-inv_binary64_2803`
1×	`pow-prod-down_binary64_2877` `associate-r/_binary64_2748` `-commutative_binary64_2737` `frac-2neg_binary64_2817` `clear-num_binary64_2805`

Counts

2 → 59

Calls

2 calls:

14.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 765 to 200 computations (73.9% saved)

series172.0ms (3.7%)

Error

0.0b

Counts

2 → 13

Calls

2 calls:

122.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
42.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 280 to 206 computations (26.4% saved)

simplify97.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4938	843
1	4938	843

prune56.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	65	7	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	7	73

Error

0.0b

Counts

73 → 7

Compiler

Compiled 854 to 241 computations (71.8% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
0.1b	(/.f64 y (sin.f64 y))
0.2b	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite220.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

156×	`times-frac_binary64_2812`
103×	`add-sqr-sqrt_binary64_2828`
91×	`*-un-lft-identity_binary64_2806`
89×	`add-cube-cbrt_binary64_2841`
44×	`associate-r_binary64_2746`
35×	`add-exp-log_binary64_2844`
19×	`add-cbrt-cube_binary64_2842`
16×	`associate-/r*_binary64_2750`
15×	`div-exp_binary64_2857`
10×	`div-inv_binary64_2803`
7×	`cbrt-undiv_binary64_2840` `prod-exp_binary64_2855`
6×	`pow1_binary64_2867` `associate-/l*_binary64_2751`
5×	`unswap-sqr_binary64_2774`
4×	`1-exp_binary64_2850` `rec-exp_binary64_2856`
3×	`add-log-exp_binary64_2845` `cbrt-unprod_binary64_2839` `associate-l_binary64_2747`
2×	`frac-2neg_binary64_2817` `clear-num_binary64_2805` `associate-/r/_binary64_2752`
1×	`inv-pow_binary64_2891` `pow-flip_binary64_2880` `pow-prod-down_binary64_2877` `un-div-inv_binary64_2804` `associate-r/_binary64_2748` `-commutative_binary64_2737`

Counts

3 → 176

Calls

3 calls:

20.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
7.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
3.0ms	(/.f64 y (sin.f64 y))

Compiler

Compiled 3068 to 1321 computations (56.9% saved)

series205.0ms (4.4%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

106.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
53.0ms	(/.f64 y (sin.f64 y))
33.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

Compiler

Compiled 417 to 322 computations (22.8% saved)

simplify138.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4931	2726
1	4931	2726

prune150.0ms (3.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	191	3	194
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	194	7	201

Error

Counts

201 → 7

Compiler

Compiled 2732 to 915 computations (66.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
0.1b	(/.f64 y (sin.f64 y))

rewrite92.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

84×	`times-frac_binary64_2812`
52×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
16×	`associate-/r*_binary64_2750`
9×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
6×	`div-inv_binary64_2803` `associate-/l*_binary64_2751`
4×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840`
2×	`pow1_binary64_2867` `add-log-exp_binary64_2845` `frac-2neg_binary64_2817` `clear-num_binary64_2805`
1×	`associate-/r/_binary64_2752`

Counts

2 → 97

Calls

2 calls:

6.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
3.0ms	(/.f64 y (sin.f64 y))

Compiler

Compiled 1475 to 366 computations (75.2% saved)

series184.0ms (3.9%)

Error

Counts

2 → 13

Calls

2 calls:

114.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
64.0ms	(/.f64 y (sin.f64 y))

Compiler

Compiled 280 to 206 computations (26.4% saved)

simplify88.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4948	1841
1	4948	1841

prune78.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	110	7	117

Error

Counts

117 → 7

Compiler

Compiled 1479 to 338 computations (77.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (sin.f64 y))
0.1b	(.f64 x (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
0.2b	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))
0.2b	(*.f64 y (/.f64 1 (sin.f64 y)))

rewrite201.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

104×	`add-exp-log_binary64_2844`
44×	`prod-exp_binary64_2855`
36×	`div-exp_binary64_2857`
34×	`add-cbrt-cube_binary64_2842` `add-sqr-sqrt_binary64_2828`
26×	`*-un-lft-identity_binary64_2806` `times-frac_binary64_2812`
25×	`add-cube-cbrt_binary64_2841`
22×	`associate-r_binary64_2746`
18×	`1-exp_binary64_2850` `rec-exp_binary64_2856`
12×	`pow1_binary64_2867`
10×	`cbrt-unprod_binary64_2839` `cbrt-undiv_binary64_2840`
6×	`associate-l_binary64_2747` `associate-/l*_binary64_2751`
4×	`add-log-exp_binary64_2845` `un-div-inv_binary64_2804` `unswap-sqr_binary64_2774` `associate-r/_binary64_2748` `div-inv_binary64_2803` `associate-/r/_binary64_2752` `associate-/r_binary64_2750`
3×	`pow-prod-down_binary64_2877` `pow-flip_binary64_2880`
2×	`*-commutative_binary64_2737` `inv-pow_binary64_2891` `frac-2neg_binary64_2817` `clear-num_binary64_2805`

Counts

4 → 151

Calls

4 calls:

11.0ms	(.f64 x (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
10.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))
7.0ms	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))
5.0ms	(/.f64 1 (sin.f64 y))

Compiler

Compiled 2425 to 1464 computations (39.6% saved)

series261.0ms (5.6%)

Error

Counts

4 → 23

Calls

4 calls:

133.0ms	(.f64 x (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
42.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))
31.0ms	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))
28.0ms	(/.f64 1 (sin.f64 y))

Compiler

Compiled 584 to 455 computations (22.1% saved)

simplify145.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4907	1624
1	4907	1624

prune109.0ms (2.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	174	7	181

Error

Counts

181 → 7

Compiler

Compiled 1962 to 855 computations (56.4% saved)

regimes287.0ms (6.1%)

Accuracy

Total 0.2b remaining (98.9%)

Threshold costs 0.2b (98.9%)

Compiler

Compiled 2009 to 1189 computations (40.8% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	9
1	6	9

end0.0ms (0%)

sample1.6s (33.7%)

Algorithm

1×

intervals

Results

283.0ms	1296×	body	1024	valid
275.0ms	5400×	body	128	valid
148.0ms	868×	body	512	valid
43.0ms	431×	body	256	valid
2.0ms	5×	body	2048	valid

Compiler

Compiled 449 to 273 computations (39.2% saved)

Details

analyze460.0ms (9.8%)

sample42.0ms (0.9%)

simplify13.0ms (0.3%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite75.0ms (1.6%)

series172.0ms (3.7%)

simplify97.0ms (2.1%)

prune56.0ms (1.2%)

localize6.0ms (0.1%)

rewrite220.0ms (4.7%)

series205.0ms (4.4%)

simplify138.0ms (2.9%)

prune150.0ms (3.2%)

localize5.0ms (0.1%)

rewrite92.0ms (2%)

series184.0ms (3.9%)

simplify88.0ms (1.9%)

prune78.0ms (1.7%)

localize7.0ms (0.2%)

rewrite201.0ms (4.3%)

series261.0ms (5.6%)

simplify145.0ms (3.1%)

prune109.0ms (2.3%)

regimes287.0ms (6.1%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.6s (33.7%)

Profiling