Details

analyze39.0ms (3.4%)

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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify133.0ms (11.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	690	10
1	690	10

prune2.0ms (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 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite17.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`*-un-lft-identity_binary64_4852` `add-sqr-sqrt_binary64_4874`
30×	`times-frac_binary64_4858`
19×	`difference-of-squares_binary64_4821`
14×	`add-cube-cbrt_binary64_4887`
13×	`distribute-lft-out--_binary64_4804`
6×	`associate-/r*_binary64_4796`
5×	`associate-/l*_binary64_4797`
3×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
2×	`flip3--_binary64_4856` `associate-/l/_binary64_4799` `associate-/r/_binary64_4798` `flip--_binary64_4827`
1×	`div-sub_binary64_4857` `div-inv_binary64_4849` `clear-num_binary64_4851` `add-log-exp_binary64_4891` `pow1_binary64_4913` `cbrt-undiv_binary64_4886` `frac-2neg_binary64_4863` `div-exp_binary64_4903`

Counts

1 → 58

Calls

1 calls:

9.0ms

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

series27.0ms (2.4%)

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify108.0ms (9.4%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4842	1144
1	4842	1144

prune47.0ms (4.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	2	62

Error

Counts

62 → 2

Compiler

Compiled 917 to 446 computations (51.4% saved)

localize8.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 1 y))
12.2b	(/.f64 (-.f64 x y) (-.f64 1 (*.f64 y y)))

rewrite33.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`add-sqr-sqrt_binary64_4874`
61×	`*-un-lft-identity_binary64_4852`
51×	`times-frac_binary64_4858`
33×	`difference-of-squares_binary64_4821`
31×	`associate-l_binary64_4793`
26×	`add-cube-cbrt_binary64_4887`
11×	`distribute-lft-out--_binary64_4804`
9×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
5×	`associate-/l_binary64_4797` `associate-/r_binary64_4796`
4×	`associate-r_binary64_4792` `associate-/r/_binary64_4798` `pow1_binary64_4913`
3×	`flip3--_binary64_4856` `flip--_binary64_4827`
2×	`unswap-sqr_binary64_4820` `frac-times_binary64_4862` `cbrt-unprod_binary64_4885` `flip-+_binary64_4826` `associate-*r/_binary64_4794` `associate-/l/_binary64_4799` `div-inv_binary64_4849` `add-log-exp_binary64_4891` `prod-exp_binary64_4901` `cbrt-undiv_binary64_4886` `flip3-+_binary64_4855` `div-exp_binary64_4903`
1×	`div-sub_binary64_4857` `distribute-lft-out_binary64_4803` `distribute-lft-in_binary64_4801` `clear-num_binary64_4851` `distribute-rgt-in_binary64_4802` `associate-l/_binary64_4795` `pow-prod-down_binary64_4923` `frac-2neg_binary64_4863` `-commutative_binary64_4783`

Counts

2 → 109

Calls

2 calls:

16.0ms	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 1 y))
8.0ms	(/.f64 (-.f64 x y) (-.f64 1 (*.f64 y y)))

series106.0ms (9.1%)

Counts

2 → 6

Calls

2 calls:

54.0ms	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 1 y))
51.0ms	(/.f64 (-.f64 x y) (-.f64 1 (*.f64 y y)))

simplify73.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5662	2443

prune101.0ms (8.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	115	2	117

Error

Counts

117 → 2

Compiler

Compiled 2461 to 1228 computations (50.1% saved)

regimes36.0ms (3.1%)

Accuracy

Total 0.0b remaining (75%)

Threshold costs 0.0b (75%)

Compiler

Compiled 201 to 167 computations (16.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample405.0ms (35.1%)

Algorithm

1×

intervals

Results

178.0ms	7997×	body	128	valid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 76 to 64 computations (15.8% saved)

Details

analyze39.0ms (3.4%)

sample12.0ms (1%)

simplify133.0ms (11.5%)

prune2.0ms (0.2%)

localize4.0ms (0.4%)

rewrite17.0ms (1.4%)

series27.0ms (2.4%)

simplify108.0ms (9.4%)

prune47.0ms (4.1%)

localize8.0ms (0.7%)

rewrite33.0ms (2.9%)

series106.0ms (9.1%)

simplify73.0ms (6.4%)

prune101.0ms (8.7%)

regimes36.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample405.0ms (35.1%)

Profiling