Details

analyze114.0ms (7.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	10	14
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
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample13.0ms (0.9%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

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 10 to 10 computations (0% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 y 500))

rewrite19.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_6255` `*-un-lft-identity_binary64_6216`
1×	`sum-log_binary64_6307` `pow1_binary64_6277` `add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252` `add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238` `flip3-+_binary64_6219` `flip-+_binary64_6190` `distribute-lft-out_binary64_6167` `+-commutative_binary64_6146`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+.f64 x (/.f64 y 500))

Compiler

Compiled 143 to 100 computations (30.1% saved)

series61.0ms (4%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

55.0ms

(+.f64 x (/.f64 y 500))

Compiler

Compiled 114 to 104 computations (8.8% saved)

simplify62.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5020	200

prune17.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	2	25

Error

0.0b

Counts

25 → 2

Compiler

Compiled 173 to 117 computations (32.4% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 1/500 y) x)
0.1b	(*.f64 1/500 y)

rewrite28.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_6238`
4×	`pow1_binary64_6277` `add-exp-log_binary64_6254` `add-log-exp_binary64_6255` `add-cbrt-cube_binary64_6252` `add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
3×	`associate-l_binary64_6157` `associate-r_binary64_6156`
1×	`pow-prod-down_binary64_6287` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `unswap-sqr_binary64_6184` `*-commutative_binary64_6147` `sum-log_binary64_6307` `flip3-+_binary64_6219` `flip-+_binary64_6190` `+-commutative_binary64_6146`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+.f64 (*.f64 1/500 y) x)
4.0ms	(*.f64 1/500 y)

Compiler

Compiled 308 to 215 computations (30.2% saved)

series81.0ms (5.3%)

Error

0.0b

Counts

2 → 15

Calls

2 calls:

59.0ms	(+.f64 (*.f64 1/500 y) x)
17.0ms	(*.f64 1/500 y)

Compiler

Compiled 159 to 143 computations (10.1% saved)

simplify102.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4816	323
1	4816	323

prune25.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	44	2	46

Error

Counts

46 → 2

Compiler

Compiled 342 to 235 computations (31.3% saved)

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (sqrt.f64 1/500) (.f64 y (sqrt.f64 1/500))) x)
0.0b	(*.f64 y (sqrt.f64 1/500))
0.3b	(.f64 (sqrt.f64 1/500) (.f64 y (sqrt.f64 1/500)))

rewrite82.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_6238`
10×	`pow1_binary64_6277` `add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252`
9×	`associate-l_binary64_6157`
8×	`add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
7×	`sqrt-prod_binary64_6232` `associate-r_binary64_6156`
5×	`add-log-exp_binary64_6255`
4×	`pow-prod-down_binary64_6287` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249`
2×	`*-commutative_binary64_6147` `unswap-sqr_binary64_6184`
1×	`sum-log_binary64_6307` `flip3-+_binary64_6219` `flip-+_binary64_6190` `+-commutative_binary64_6146`

Counts

3 → 54

Calls

3 calls:

10.0ms	(.f64 (sqrt.f64 1/500) (.f64 y (sqrt.f64 1/500)))
8.0ms	(+.f64 (.f64 (sqrt.f64 1/500) (.f64 y (sqrt.f64 1/500))) x)
5.0ms	(*.f64 y (sqrt.f64 1/500))

Compiler

Compiled 856 to 698 computations (18.5% saved)

series201.0ms (13.2%)

Error

Counts

3 → 18

Calls

3 calls:

111.0ms	(+.f64 (.f64 (sqrt.f64 1/500) (.f64 y (sqrt.f64 1/500))) x)
48.0ms	(.f64 (sqrt.f64 1/500) (.f64 y (sqrt.f64 1/500)))
32.0ms	(*.f64 y (sqrt.f64 1/500))

Compiler

Compiled 339 to 317 computations (6.5% saved)

simplify108.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4865	559
1	4865	559

prune49.0ms (3.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	72	2	74

Error

Counts

74 → 2

Compiler

Compiled 713 to 543 computations (23.8% saved)

regimes53.0ms (3.5%)

Accuracy

Total 0.0b remaining (50%)

Threshold costs 0.0b (50%)

Compiler

Compiled 168 to 182 computations (-8.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample482.0ms (31.7%)

Algorithm

1×

intervals

Results

166.0ms

8000×

body

128

valid

Compiler

Compiled 48 to 52 computations (-8.3% saved)

Details

analyze114.0ms (7.5%)

sample13.0ms (0.9%)

simplify7.0ms (0.4%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite19.0ms (1.2%)

series61.0ms (4%)

simplify62.0ms (4.1%)

prune17.0ms (1.1%)

localize4.0ms (0.2%)

rewrite28.0ms (1.9%)

series81.0ms (5.3%)

simplify102.0ms (6.7%)

prune25.0ms (1.6%)

localize5.0ms (0.4%)

rewrite82.0ms (5.4%)

series201.0ms (13.2%)

simplify108.0ms (7.1%)

prune49.0ms (3.2%)

regimes53.0ms (3.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample482.0ms (31.7%)

Profiling