Details

analyze77.0ms (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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample13.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms	250×	body	128	valid
0.0ms	5×	body	512	valid
0.0ms	1×	body	2048	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify168.0ms (8.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	138	7
1	138	7

prune3.0ms (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: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 200 (-.f64 x y))

rewrite14.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64_7849`
5×	`associate-r_binary64_7770` `*-un-lft-identity_binary64_7828`
3×	`add-exp-log_binary64_7863` `pow1_binary64_7886` `add-cbrt-cube_binary64_7861` `add-cube-cbrt_binary64_7860` `associate-l_binary64_7771`
2×	`associate-*r/_binary64_7772` `sub-neg_binary64_7821`
1×	`pow-prod-down_binary64_7896` `flip3--_binary64_7832` `distribute-rgt-in_binary64_7780` `distribute-lft-out--_binary64_7782` `difference-of-squares_binary64_7797` `distribute-lft-in_binary64_7779` `*-commutative_binary64_7761` `unswap-sqr_binary64_7796` `flip--_binary64_7803` `cbrt-unprod_binary64_7858` `add-log-exp_binary64_7864` `prod-exp_binary64_7874`

Counts

1 → 24

Calls

1 calls:

9.0ms

(*.f64 200 (-.f64 x y))

series41.0ms (2.1%)

Counts

1 → 3

Calls

1 calls:

41.0ms

(*.f64 200 (-.f64 x y))

simplify57.0ms (3%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5172	250

prune21.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0b

Counts

28 → 4

Compiler

Compiled 284 to 166 computations (41.5% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (-.f64 x y) (cbrt.f64 200))
0.5b	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))

rewrite28.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_7863` `pow1_binary64_7886`
11×	`add-sqr-sqrt_binary64_7849`
9×	`pow-prod-down_binary64_7896` `add-cbrt-cube_binary64_7861` `cbrt-unprod_binary64_7858` `prod-exp_binary64_7874`
7×	`associate-r_binary64_7770` `*-un-lft-identity_binary64_7828`
6×	`associate-l_binary64_7771`
5×	`add-cube-cbrt_binary64_7860`
4×	`associate-*l/_binary64_7773` `cbrt-prod_binary64_7856`
2×	`associate-r/_binary64_7772` `flip3--_binary64_7832` `-commutative_binary64_7761` `unswap-sqr_binary64_7796` `flip--_binary64_7803` `add-log-exp_binary64_7864`
1×	`distribute-lft-out--_binary64_7782` `difference-of-squares_binary64_7797`

Counts

2 → 50

Calls

2 calls:

13.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))
9.0ms	(*.f64 (-.f64 x y) (cbrt.f64 200))

series167.0ms (8.6%)

Counts

2 → 6

Calls

2 calls:

108.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))
59.0ms	(*.f64 (-.f64 x y) (cbrt.f64 200))

simplify52.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5071	604

prune48.0ms (2.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	56	4	60

Merged error: 0b

Counts

60 → 4

Compiler

Compiled 771 to 532 computations (31% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.3b	(*.f64 (-.f64 x y) (sqrt.f64 200))
0.4b	(.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 200)))

rewrite24.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_7849`
11×	`associate-l_binary64_7771`
9×	`add-exp-log_binary64_7863` `pow1_binary64_7886` `add-cbrt-cube_binary64_7861` `*-un-lft-identity_binary64_7828`
7×	`sqrt-prod_binary64_7843` `add-cube-cbrt_binary64_7860` `associate-r_binary64_7770`
4×	`associate-*l/_binary64_7773` `pow-prod-down_binary64_7896` `cbrt-unprod_binary64_7858` `prod-exp_binary64_7874`
2×	`associate-r/_binary64_7772` `flip3--_binary64_7832` `-commutative_binary64_7761` `unswap-sqr_binary64_7796` `flip--_binary64_7803` `add-log-exp_binary64_7864`
1×	`distribute-lft-out--_binary64_7782` `difference-of-squares_binary64_7797`

Counts

2 → 49

Calls

2 calls:

11.0ms	(.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 200)))
9.0ms	(*.f64 (-.f64 x y) (sqrt.f64 200))

series167.0ms (8.6%)

Counts

2 → 6

Calls

2 calls:

102.0ms	(.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 200)))
65.0ms	(*.f64 (-.f64 x y) (sqrt.f64 200))

simplify51.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5305	597

prune43.0ms (2.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	55	4	59

Merged error: 0b

Counts

59 → 4

Compiler

Compiled 677 to 441 computations (34.9% saved)

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 x y))
0.0b	(sqrt.f64 (-.f64 x y))
0.1b	(*.f64 200 (sqrt.f64 (-.f64 x y)))
0.2b	(.f64 (.f64 200 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))

rewrite38.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_7849`
21×	`sqrt-prod_binary64_7843`
19×	`*-un-lft-identity_binary64_7828`
18×	`sqrt-div_binary64_7844`
16×	`associate-r_binary64_7770`
13×	`pow1_binary64_7886`
11×	`add-exp-log_binary64_7863` `add-cbrt-cube_binary64_7861` `add-cube-cbrt_binary64_7860`
10×	`associate-*r/_binary64_7772`
9×	`flip3--_binary64_7832` `flip--_binary64_7803`
4×	`pow-prod-down_binary64_7896` `distribute-lft-out--_binary64_7782` `difference-of-squares_binary64_7797` `associate-l_binary64_7771` `cbrt-unprod_binary64_7858` `add-log-exp_binary64_7864` `prod-exp_binary64_7874` `frac-times_binary64_7838`
2×	`associate-l/_binary64_7773` `rem-sqrt-square_binary64_7841` `sqrt-pow1_binary64_7845` `-commutative_binary64_7761` `unswap-sqr_binary64_7796` `pow1/2_binary64_7905`

Counts

4 → 91

Calls

4 calls:

14.0ms	(.f64 (.f64 200 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
8.0ms	(*.f64 200 (sqrt.f64 (-.f64 x y)))
4.0ms	(sqrt.f64 (-.f64 x y))
4.0ms	(sqrt.f64 (-.f64 x y))

series254.0ms (13.1%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(*.f64 200 (sqrt.f64 (-.f64 x y)))
62.0ms	(sqrt.f64 (-.f64 x y))
58.0ms	(sqrt.f64 (-.f64 x y))
51.0ms	(.f64 (.f64 200 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))

simplify60.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4998	1451
1	4998	1451

prune77.0ms (4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	103	4	107

Merged error: 0b

Counts

107 → 4

Compiler

Compiled 1683 to 614 computations (63.5% saved)

regimes57.0ms (2.9%)

Compiler: Compiled 304 to 256 computations (15.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms (0%)

sample451.0ms (23.3%)

Algorithm

1×

intervals

Results

163.0ms	7847×	body	128	valid
3.0ms	43×	body	2048	valid
3.0ms	52×	body	1024	valid
2.0ms	39×	body	512	valid
1.0ms	50×	body	128	invalid
1.0ms	19×	body	256	valid

Compiler

Compiled 82 to 71 computations (13.4% saved)

Details

analyze77.0ms (4%)

sample13.0ms (0.7%)

simplify168.0ms (8.7%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite14.0ms (0.7%)

series41.0ms (2.1%)

simplify57.0ms (3%)

prune21.0ms (1.1%)

localize7.0ms (0.4%)

rewrite28.0ms (1.5%)

series167.0ms (8.6%)

simplify52.0ms (2.7%)

prune48.0ms (2.5%)

localize6.0ms (0.3%)

rewrite24.0ms (1.2%)

series167.0ms (8.6%)

simplify51.0ms (2.6%)

prune43.0ms (2.2%)

localize6.0ms (0.3%)

rewrite38.0ms (2%)

series254.0ms (13.1%)

simplify60.0ms (3.1%)

prune77.0ms (4%)

regimes57.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample451.0ms (23.3%)

Profiling