Details

analyze78.0ms (4%)

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
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
62.4%	34.3%	3.2%	7
62.4%	32.8%	4.8%	8
68.7%	21.1%	10.2%	9
68.7%	19.1%	12.2%	10
71.8%	11.5%	16.7%	11
71.8%	10.2%	18%	12
73.4%	6%	20.6%	13
73.4%	5.3%	21.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	14×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify177.0ms (9.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	10
1	12	10

prune2.0ms (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: 5.7b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

10.4b

(/.f64 x (*.f64 y y))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_10093` `add-cbrt-cube_binary64_10091`
3×	`add-sqr-sqrt_binary64_10077` `associate-/l_binary64_10000` `times-frac_binary64_10061` `-un-lft-identity_binary64_10055` `add-cube-cbrt_binary64_10090`
2×	`div-exp_binary64_10106` `cbrt-undiv_binary64_10089`
1×	`clear-num_binary64_10054` `cbrt-unprod_binary64_10088` `div-inv_binary64_10052` `associate-/r*_binary64_9999` `add-log-exp_binary64_10094` `frac-2neg_binary64_10066` `prod-exp_binary64_10104` `pow1_binary64_10116`

Counts

1 → 21

Calls

1 calls:

5.0ms

(/.f64 x (*.f64 y y))

series34.0ms (1.8%)

Counts

1 → 3

Calls

1 calls:

34.0ms

(/.f64 x (*.f64 y y))

simplify114.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4760	223
1	4760	223

prune56.0ms (2.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	5	25

Merged error: 0.0b

Counts

25 → 5

Compiler

Compiled 731 to 430 computations (41.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 (/.f64 x y) y)

rewrite13.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64_10061`
43×	`add-sqr-sqrt_binary64_10077` `*-un-lft-identity_binary64_10055` `add-cube-cbrt_binary64_10090`
13×	`associate-/l*_binary64_10000`
6×	`add-exp-log_binary64_10093` `add-cbrt-cube_binary64_10091`
5×	`div-inv_binary64_10052`
3×	`div-exp_binary64_10106` `cbrt-undiv_binary64_10089` `associate-/r*_binary64_9999`
1×	`clear-num_binary64_10054` `add-log-exp_binary64_10094` `frac-2neg_binary64_10066` `pow1_binary64_10116` `associate-/l/_binary64_10002`

Counts

1 → 70

Calls

1 calls:

7.0ms

(/.f64 (/.f64 x y) y)

series38.0ms (2%)

Counts

1 → 3

Calls

1 calls:

38.0ms

(/.f64 (/.f64 x y) y)

simplify75.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5096	1112

prune92.0ms (4.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	71	7	78

Merged error: 0b

Counts

78 → 7

Compiler

Compiled 1567 to 761 computations (51.4% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite20.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_10077`
25×	`times-frac_binary64_10061`
23×	`add-exp-log_binary64_10093`
17×	`*-un-lft-identity_binary64_10055`
15×	`add-cube-cbrt_binary64_10090`
13×	`associate-l_binary64_9996` `associate-r_binary64_9995` `add-cbrt-cube_binary64_10091`
8×	`div-exp_binary64_10106` `prod-exp_binary64_10104`
6×	`unswap-sqr_binary64_10023`
4×	`cbrt-unprod_binary64_10088` `cbrt-undiv_binary64_10089`
3×	`pow1_binary64_10116`
2×	`1-exp_binary64_10099` `div-inv_binary64_10052` `rec-exp_binary64_10105`
1×	`associate-l/_binary64_9998` `pow-prod-down_binary64_10126` `-commutative_binary64_9986` `add-log-exp_binary64_10094` `frac-times_binary64_10065` `associate-*r/_binary64_9997`

Counts

1 → 56

Calls

1 calls:

14.0ms

(*.f64 (/.f64 1 y) (/.f64 x y))

series30.0ms (1.5%)

Counts

1 → 3

Calls

1 calls:

29.0ms

(*.f64 (/.f64 1 y) (/.f64 x y))

simplify86.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4927	614
1	4927	614

prune46.0ms (2.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	59	7	66

Merged error: 0b

Counts

66 → 7

Compiler

Compiled 792 to 371 computations (53.2% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 y (/.f64 x y))
0.6b	(/.f64 1 (/.f64 y (/.f64 x y)))

rewrite55.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64_10061`
229×	`add-sqr-sqrt_binary64_10077` `*-un-lft-identity_binary64_10055` `add-cube-cbrt_binary64_10090`
57×	`associate-/r*_binary64_9999`
28×	`add-exp-log_binary64_10093`
22×	`div-inv_binary64_10052`
18×	`div-exp_binary64_10106`
16×	`add-cbrt-cube_binary64_10091`
9×	`cbrt-undiv_binary64_10089`
6×	`associate-/l*_binary64_10000` `associate-/r/_binary64_10001`
3×	`1-exp_binary64_10099` `pow1_binary64_10116` `rec-exp_binary64_10105`
2×	`clear-num_binary64_10054` `add-log-exp_binary64_10094` `frac-2neg_binary64_10066`
1×	`pow-flip_binary64_10129` `inv-pow_binary64_10140`

Counts

2 → 274

Calls

2 calls:

14.0ms	(/.f64 1 (/.f64 y (/.f64 x y)))
6.0ms	(/.f64 y (/.f64 x y))

series65.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

37.0ms	(/.f64 1 (/.f64 y (/.f64 x y)))
27.0ms	(/.f64 y (/.f64 x y))

simplify131.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

280 → 280

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4942	5163
1	4942	5163

prune226.0ms (11.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	279	1	280
Fresh	1	2	3
Picked	1	0	1
Done	0	3	3
Total	281	6	287

Merged error: 0b

Counts

287 → 6

Compiler

Compiled 4784 to 1833 computations (61.7% saved)

regimes63.0ms (3.3%)

Compiler: Compiled 334 to 284 computations (15% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms (0%)

sample487.0ms (25.2%)

Algorithm

1×

intervals

Results

200.0ms	8000×	body	128	valid
10.0ms	403×	body	128	invalid

Compiler

Compiled 82 to 71 computations (13.4% saved)

Details

analyze78.0ms (4%)

sample13.0ms (0.7%)

simplify177.0ms (9.2%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite7.0ms (0.3%)

series34.0ms (1.8%)

simplify114.0ms (5.9%)

prune56.0ms (2.9%)

localize4.0ms (0.2%)

rewrite13.0ms (0.7%)

series38.0ms (2%)

simplify75.0ms (3.9%)

prune92.0ms (4.8%)

localize6.0ms (0.3%)

rewrite20.0ms (1%)

series30.0ms (1.5%)

simplify86.0ms (4.5%)

prune46.0ms (2.4%)

localize6.0ms (0.3%)

rewrite55.0ms (2.9%)

series65.0ms (3.4%)

simplify131.0ms (6.8%)

prune226.0ms (11.7%)

regimes63.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample487.0ms (25.2%)

Profiling