Details

analyze250.0ms (10.1%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	782	20
1	782	20
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14
98.3%	1.6%	0.1%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample79.0ms (3.2%)

Algorithm

2×

intervals

Results

14.0ms

512×

body

128

valid

Compiler

Compiled 2071 to 2069 computations (0.1% saved)

simplify63.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	782	10
1	782	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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite48.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`*-un-lft-identity_binary64_15082`
22×	`add-sqr-sqrt_binary64_15104`
20×	`times-frac_binary64_15088`
12×	`add-cube-cbrt_binary64_15117`
6×	`distribute-lft-out_binary64_15033`
5×	`difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034` `associate-/r*_binary64_15026`
4×	`associate-/l*_binary64_15027`
3×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
2×	`associate-/l/_binary64_15029` `associate-/r/_binary64_15028`
1×	`pow1_binary64_15143` `div-exp_binary64_15133` `add-log-exp_binary64_15121` `cbrt-undiv_binary64_15116` `frac-2neg_binary64_15093` `clear-num_binary64_15081` `div-inv_binary64_15079` `flip3-+_binary64_15085` `flip-+_binary64_15056` `flip3--_binary64_15086` `flip--_binary64_15057`

Counts

1 → 45

Calls

1 calls:

8.0ms

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

Compiler

Compiled 714 to 162 computations (77.3% saved)

series104.0ms (4.2%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

90.0ms

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

Compiler

Compiled 420 to 358 computations (14.8% saved)

simplify62.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5551	1006

prune47.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	3	64

Error

Counts

64 → 3

Compiler

Compiled 822 to 231 computations (71.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 x y))
0.2b	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))

rewrite111.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`add-sqr-sqrt_binary64_15104`
39×	`*-un-lft-identity_binary64_15082`
32×	`times-frac_binary64_15088`
22×	`add-cube-cbrt_binary64_15117`
21×	`associate-r_binary64_15022`
15×	`add-exp-log_binary64_15120`
9×	`add-cbrt-cube_binary64_15118`
7×	`difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034`
5×	`pow1_binary64_15143` `associate-/r*_binary64_15026`
4×	`div-exp_binary64_15133` `prod-exp_binary64_15131` `associate-l_binary64_15023` `associate-/r/_binary64_15028`
3×	`unswap-sqr_binary64_15050` `associate-/l*_binary64_15027`
2×	`1-exp_binary64_15126` `rec-exp_binary64_15132` `add-log-exp_binary64_15121` `cbrt-unprod_binary64_15115` `cbrt-undiv_binary64_15116` `flip3-+_binary64_15085` `frac-times_binary64_15092` `flip-+_binary64_15056` `associate-*l/_binary64_15025` `div-inv_binary64_15079` `flip3--_binary64_15086` `flip--_binary64_15057`
1×	`pow-prod-down_binary64_15153` `un-div-inv_binary64_15080` `associate-r/_binary64_15024` `distribute-lft-out_binary64_15033` `-commutative_binary64_15013` `inv-pow_binary64_15167` `pow-flip_binary64_15156` `frac-2neg_binary64_15093` `clear-num_binary64_15081`

Counts

2 → 90

Calls

2 calls:

14.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))
8.0ms	(/.f64 1 (-.f64 x y))

Compiler

Compiled 1532 to 651 computations (57.5% saved)

series201.0ms (8.1%)

Error

Counts

2 → 33

Calls

2 calls:

97.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))
80.0ms	(/.f64 1 (-.f64 x y))

Compiler

Compiled 945 to 725 computations (23.3% saved)

simplify82.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	6567	1547

prune92.0ms (3.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	123	3	126

Error

Counts

126 → 3

Compiler

Compiled 1629 to 602 computations (63% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 2 (/.f64 y x))
0.1b	(.f64 (/.f64 y x) (+.f64 2 (.f64 2 (/.f64 y x))))

rewrite102.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-sqr-sqrt_binary64_15104`
20×	`times-frac_binary64_15088`
18×	`add-cube-cbrt_binary64_15117` `*-un-lft-identity_binary64_15082`
16×	`associate-l_binary64_15023` `associate-r_binary64_15022`
12×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
6×	`pow1_binary64_15143`
4×	`prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `unswap-sqr_binary64_15050`
3×	`associate-*r/_binary64_15024`
2×	`pow-prod-down_binary64_15153` `div-exp_binary64_15133` `add-log-exp_binary64_15121` `cbrt-undiv_binary64_15116` `flip3-+_binary64_15085` `frac-times_binary64_15092` `flip-+_binary64_15056` `div-inv_binary64_15079` `*-commutative_binary64_15013`
1×	`distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `associate-*l/_binary64_15025`

Counts

2 → 70

Calls

2 calls:

10.0ms	(.f64 (/.f64 y x) (+.f64 2 (.f64 2 (/.f64 y x))))
8.0ms	(*.f64 2 (/.f64 y x))

Compiler

Compiled 1516 to 820 computations (45.9% saved)

series366.0ms (14.8%)

Error

Counts

2 → 18

Calls

2 calls:

257.0ms	(.f64 (/.f64 y x) (+.f64 2 (.f64 2 (/.f64 y x))))
93.0ms	(*.f64 2 (/.f64 y x))

Compiler

Compiled 648 to 510 computations (21.3% saved)

simplify59.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4963	1294
1	4963	1294

prune85.0ms (3.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	88	3	91

Error

Counts

91 → 3

Compiler

Compiled 1582 to 843 computations (46.7% saved)

regimes83.0ms (3.4%)

Accuracy

Total 0.0b remaining (90.2%)

Threshold costs 0.0b (90.2%)

Compiler

Compiled 720 to 429 computations (40.4% 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%)

sample621.0ms (25.1%)

Algorithm

1×

intervals

Results

177.0ms

8000×

body

128

valid

Compiler

Compiled 262 to 158 computations (39.7% saved)

Details

analyze250.0ms (10.1%)

sample79.0ms (3.2%)

simplify63.0ms (2.6%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite48.0ms (1.9%)

series104.0ms (4.2%)

simplify62.0ms (2.5%)

prune47.0ms (1.9%)

localize6.0ms (0.2%)

rewrite111.0ms (4.5%)

series201.0ms (8.1%)

simplify82.0ms (3.3%)

prune92.0ms (3.7%)

localize7.0ms (0.3%)

rewrite102.0ms (4.1%)

series366.0ms (14.8%)

simplify59.0ms (2.4%)

prune85.0ms (3.4%)

regimes83.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample621.0ms (25.1%)

Profiling