Details

analyze362.0ms (14%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4754	20
1	4754	20
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
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
56.2%	43.7%	0.1%	7
56.2%	43.7%	0.1%	8
76.5%	23.4%	0.1%	9
76.5%	23.4%	0.1%	10
87.8%	12.1%	0.1%	11
87.8%	12.1%	0.1%	12
93.8%	6.1%	0.1%	13
93.8%	6.1%	0.1%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample19.0ms (0.8%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify147.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	5248	10

prune5.0ms (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

0.0b

Counts

2 → 2

Compiler

Compiled 23 to 21 computations (8.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

rewrite31.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`*-un-lft-identity_binary64_12013`
3×	`add-log-exp_binary64_12052`
2×	`times-frac_binary64_12019` `distribute-lft-out_binary64_11964`
1×	`sum-log_binary64_12104` `pow1_binary64_12074` `add-exp-log_binary64_12051` `add-cbrt-cube_binary64_12049` `add-cube-cbrt_binary64_12048` `add-sqr-sqrt_binary64_12035` `frac-add_binary64_12021` `flip3-+_binary64_12016` `flip-+_binary64_11987` `+-commutative_binary64_11943`

Counts

1 → 14

Calls

1 calls:

13.0ms

(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

Compiler

Compiled 200 to 154 computations (23% saved)

series172.0ms (6.7%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

169.0ms

(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

Compiler

Compiled 167 to 171 computations (-2.4% saved)

simplify78.0ms (3%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4854	293
1	4854	293

prune23.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Error

0.0b

Counts

28 → 2

Compiler

Compiled 195 to 147 computations (24.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 x 2) y)
13.6b	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

rewrite66.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-exp-log_binary64_12051` `add-cbrt-cube_binary64_12049`
9×	`add-sqr-sqrt_binary64_12035` `*-un-lft-identity_binary64_12013`
7×	`pow1_binary64_12074`
6×	`prod-exp_binary64_12062` `cbrt-unprod_binary64_12046`
5×	`add-cube-cbrt_binary64_12048` `times-frac_binary64_12019` `associate-/l*_binary64_11958`
3×	`div-exp_binary64_12064` `cbrt-undiv_binary64_12047` `pow-prod-down_binary64_12084` `associate-r_binary64_11953`
2×	`add-log-exp_binary64_12052` `difference-of-squares_binary64_11982` `distribute-lft-out--_binary64_11965` `associate-/l/_binary64_11960`
1×	`frac-2neg_binary64_12024` `div-sub_binary64_12018` `clear-num_binary64_12012` `div-inv_binary64_12010` `flip3--_binary64_12017` `flip--_binary64_11988` `associate-/r_binary64_11957` `associate-l_binary64_11954` `-commutative_binary64_11944`

Counts

2 → 48

Calls

2 calls:

9.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))
5.0ms	(.f64 (.f64 x 2) y)

Compiler

Compiled 704 to 344 computations (51.1% saved)

series294.0ms (11.4%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

204.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))
84.0ms	(.f64 (.f64 x 2) y)

Compiler

Compiled 284 to 260 computations (8.5% saved)

simplify49.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	6489	712

prune44.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	65	3	68

Error

Counts

68 → 3

Compiler

Compiled 486 to 251 computations (48.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) y)
9.3b	(*.f64 (/.f64 1/2 x) (/.f64 (-.f64 x y) y))

rewrite128.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

54×	`add-sqr-sqrt_binary64_12035`
43×	`times-frac_binary64_12019`
42×	`*-un-lft-identity_binary64_12013`
28×	`add-cube-cbrt_binary64_12048`
19×	`associate-r_binary64_11953`
16×	`add-exp-log_binary64_12051` `add-cbrt-cube_binary64_12049`
13×	`associate-l_binary64_11954`
7×	`difference-of-squares_binary64_11982` `distribute-lft-out--_binary64_11965`
5×	`div-exp_binary64_12064` `cbrt-undiv_binary64_12047` `associate-/l*_binary64_11958`
4×	`pow1_binary64_12074` `prod-exp_binary64_12062` `cbrt-unprod_binary64_12046` `unswap-sqr_binary64_11981`
3×	`div-inv_binary64_12010` `associate-/r*_binary64_11957`
2×	`add-log-exp_binary64_12052` `associate-/l/_binary64_11960`
1×	`pow-prod-down_binary64_12084` `frac-times_binary64_12023` `associate-l/_binary64_11956` `associate-r/_binary64_11955` `*-commutative_binary64_11944` `frac-2neg_binary64_12024` `div-sub_binary64_12018` `clear-num_binary64_12012` `flip3--_binary64_12017` `flip--_binary64_11988`

Counts

2 → 94

Calls

2 calls:

15.0ms	(*.f64 (/.f64 1/2 x) (/.f64 (-.f64 x y) y))
6.0ms	(/.f64 (-.f64 x y) y)

Compiler

Compiled 1504 to 565 computations (62.4% saved)

series343.0ms (13.3%)

Error

Counts

2 → 24

Calls

2 calls:

209.0ms	(*.f64 (/.f64 1/2 x) (/.f64 (-.f64 x y) y))
126.0ms	(/.f64 (-.f64 x y) y)

Compiler

Compiled 332 to 316 computations (4.8% saved)

simplify61.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5762	1591

prune95.0ms (3.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	118	3	121

Error

Counts

121 → 3

Compiler

Compiled 1273 to 578 computations (54.6% saved)

regimes83.0ms (3.2%)

Accuracy

Total 0.0b remaining (60.2%)

Threshold costs 0.0b (60.2%)

Compiler

Compiled 337 to 319 computations (5.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end1.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

sample555.0ms (21.6%)

Algorithm

1×

intervals

Results

232.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 52 to 54 computations (-3.8% saved)

Details

analyze362.0ms (14%)

sample19.0ms (0.8%)

simplify147.0ms (5.7%)

prune5.0ms (0.2%)

localize5.0ms (0.2%)

rewrite31.0ms (1.2%)

series172.0ms (6.7%)

simplify78.0ms (3%)

prune23.0ms (0.9%)

localize6.0ms (0.2%)

rewrite66.0ms (2.6%)

series294.0ms (11.4%)

simplify49.0ms (1.9%)

prune44.0ms (1.7%)

localize6.0ms (0.2%)

rewrite128.0ms (5%)

series343.0ms (13.3%)

simplify61.0ms (2.4%)

prune95.0ms (3.7%)

regimes83.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end1.0ms (0%)

sample555.0ms (21.6%)

Profiling