Details

analyze116.0ms (15.2%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample11.0ms (1.5%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify30.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	269	10
1	269	10

prune3.0ms (0.4%)

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: 0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.6%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 (.f64 x y) (-.f64 1 y))

rewrite9.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64` `difference-of-squares_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 25

Calls

1 calls:

8.0ms

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

series8.0ms (1%)

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify76.0ms (9.9%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5135	312

prune34.0ms (4.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	20	8	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	8	29

Merged error: 0.0b

Counts

29 → 8

Compiler

Compiled 399 to 240 computations (39.8% saved)

localize5.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (*.f64 x y) (neg.f64 y)))
0.2b	(.f64 (.f64 x y) (neg.f64 y))

rewrite12.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`associate-r_binary64`
7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64`
2×	`distribute-rgt-neg-out_binary64`
1×	`flip3-+_binary64` `neg-mul-1_binary64` `associate-l_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 38

Calls

2 calls:

6.0ms	(.f64 (.f64 x y) (neg.f64 y))
5.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 x y) (neg.f64 y)))

series19.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 x y) (neg.f64 y)))
8.0ms	(.f64 (.f64 x y) (neg.f64 y))

simplify80.0ms (10.4%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4962	495
1	4962	495

prune31.0ms (4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	44	8	52

Merged error: 0.0b

Counts

52 → 8

Compiler

Compiled 654 to 207 computations (68.3% saved)

localize4.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 y (*.f64 y y))
5.5b	(.f64 x (-.f64 y (.f64 y y)))

rewrite10.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sub-neg_binary64` `associate-l_binary64`
2×	`flip3--_binary64` `distribute-rgt-out--_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

6.0ms	(.f64 x (-.f64 y (.f64 y y)))
3.0ms	(-.f64 y (*.f64 y y))

series16.0ms (2%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(.f64 x (-.f64 y (.f64 y y)))
5.0ms	(-.f64 y (*.f64 y y))

simplify83.0ms (10.8%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4923	497
1	4923	497

prune28.0ms (3.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	43	8	51

Merged error: 0.0b

Counts

51 → 8

Compiler

Compiled 579 to 186 computations (67.9% saved)

localize6.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 y))
0.0b	(sqrt.f64 (-.f64 1 y))
0.1b	(.f64 (.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
0.1b	(.f64 (.f64 x y) (sqrt.f64 (-.f64 1 y)))

rewrite37.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
22×	`*-un-lft-identity_binary64`
20×	`pow1_binary64`
18×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
10×	`associate-*r/_binary64` `add-cube-cbrt_binary64`
9×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64`
8×	`difference-of-squares_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out--_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 97

Calls

4 calls:

15.0ms	(.f64 (.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
9.0ms	(.f64 (.f64 x y) (sqrt.f64 (-.f64 1 y)))
4.0ms	(sqrt.f64 (-.f64 1 y))
4.0ms	(sqrt.f64 (-.f64 1 y))

series27.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

12.0ms	(.f64 (.f64 x y) (sqrt.f64 (-.f64 1 y)))
8.0ms	(.f64 (.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
4.0ms	(sqrt.f64 (-.f64 1 y))
4.0ms	(sqrt.f64 (-.f64 1 y))

simplify110.0ms (14.4%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4948	1666
1	4948	1666

Details

analyze116.0ms (15.2%)

sample11.0ms (1.5%)

simplify30.0ms (4%)

prune3.0ms (0.4%)

localize4.0ms (0.6%)

rewrite9.0ms (1.2%)

series8.0ms (1%)

simplify76.0ms (9.9%)

prune34.0ms (4.5%)

localize5.0ms (0.7%)

rewrite12.0ms (1.6%)

series19.0ms (2.5%)

simplify80.0ms (10.4%)

prune31.0ms (4%)

localize4.0ms (0.5%)

rewrite10.0ms (1.3%)

series16.0ms (2%)

simplify83.0ms (10.8%)

prune28.0ms (3.6%)

localize6.0ms (0.8%)

rewrite37.0ms (4.8%)

series27.0ms (3.5%)

simplify110.0ms (14.4%)

prune6.0ms (0.8%)

Profiling