Details

analyze168.0ms (12.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	14
1	156	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
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)

sample10.0ms (0.7%)

Algorithm

1×

intervals

Results

4.0ms	255×	body	128	valid
0.0ms	1×	body	512	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify13.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	156	7
1	156	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 (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 500 (-.f64 x y))

rewrite9.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_9307`
7×	`*-un-lft-identity_binary64_9285`
6×	`cancel-sign-sub-inv_binary64_9251`
5×	`associate-r_binary64_9225` `add-cube-cbrt_binary64_9320`
4×	`distribute-lft-in_binary64_9234` `distribute-rgt-in_binary64_9235`
3×	`associate-l_binary64_9226` `pow1_binary64_9346` `add-cbrt-cube_binary64_9321` `add-exp-log_binary64_9323`
2×	`sub-neg_binary64_9278` `associate-*r/_binary64_9227`
1×	`cbrt-unprod_binary64_9318` `prod-exp_binary64_9334` `pow-prod-down_binary64_9356` `unswap-sqr_binary64_9253` `flip--_binary64_9260` `flip3--_binary64_9289` `add-log-exp_binary64_9324` `*-commutative_binary64_9216` `difference-of-squares_binary64_9254` `distribute-lft-out--_binary64_9237`

Counts

1 → 30

Calls

1 calls:

7.0ms

(*.f64 500 (-.f64 x y))

series24.0ms (1.8%)

Counts

1 → 3

Calls

1 calls:

24.0ms

(*.f64 500 (-.f64 x y))

simplify39.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4959	298
1	4959	298

prune22.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Error

Counts

34 → 4

Compiler

Compiled 330 to 197 computations (40.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_9324`
1×	`add-sqr-sqrt_binary64_9307` `*-un-lft-identity_binary64_9285` `pow1_binary64_9346` `add-cbrt-cube_binary64_9321` `flip-+_binary64_9259` `sum-log_binary64_9376` `flip3-+_binary64_9288` `+-commutative_binary64_9215` `add-exp-log_binary64_9323` `add-cube-cbrt_binary64_9320`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 500 x) (*.f64 y -500))

series25.0ms (1.8%)

Counts

1 → 3

Calls

1 calls:

24.0ms

(+.f64 (*.f64 500 x) (*.f64 y -500))

simplify64.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4964	159
1	4964	159

prune13.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	14	4	18

Error

Counts

18 → 4

Compiler

Compiled 165 to 108 computations (34.5% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.3b	(*.f64 (-.f64 x y) (sqrt.f64 500))
0.4b	(.f64 (sqrt.f64 500) (.f64 (-.f64 x y) (sqrt.f64 500)))

rewrite21.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_9307`
11×	`associate-l_binary64_9226`
9×	`*-un-lft-identity_binary64_9285` `pow1_binary64_9346` `add-cbrt-cube_binary64_9321` `add-exp-log_binary64_9323`
7×	`sqrt-prod_binary64_9301` `associate-r_binary64_9225` `add-cube-cbrt_binary64_9320`
4×	`cbrt-unprod_binary64_9318` `associate-*l/_binary64_9228` `prod-exp_binary64_9334` `pow-prod-down_binary64_9356`
2×	`unswap-sqr_binary64_9253` `flip--_binary64_9260` `flip3--_binary64_9289` `add-log-exp_binary64_9324` `associate-r/_binary64_9227` `-commutative_binary64_9216`
1×	`difference-of-squares_binary64_9254` `distribute-lft-out--_binary64_9237`

Counts

2 → 49

Calls

2 calls:

10.0ms	(.f64 (sqrt.f64 500) (.f64 (-.f64 x y) (sqrt.f64 500)))
8.0ms	(*.f64 (-.f64 x y) (sqrt.f64 500))

series81.0ms (5.9%)

Counts

2 → 6

Calls

2 calls:

48.0ms	(.f64 (sqrt.f64 500) (.f64 (-.f64 x y) (sqrt.f64 500)))
33.0ms	(*.f64 (-.f64 x y) (sqrt.f64 500))

simplify54.0ms (4%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5390	597

prune40.0ms (2.9%)

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

Error

Counts

59 → 4

Compiler

Compiled 681 to 445 computations (34.7% saved)

localize10.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 500 (+.f64 x y))
0.1b	(.f64 250000 (-.f64 (.f64 x x) (*.f64 y y)))
3.5b	(-.f64 (.f64 x x) (.f64 y y))
31.7b	(/.f64 (.f64 250000 (-.f64 (.f64 x x) (.f64 y y))) (.f64 500 (+.f64 x y)))

rewrite37.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-cbrt-cube_binary64_9321` `add-exp-log_binary64_9323`
12×	`add-sqr-sqrt_binary64_9307`
10×	`*-un-lft-identity_binary64_9285`
8×	`associate-r_binary64_9225` `pow1_binary64_9346` `associate-*r/_binary64_9227` `add-cube-cbrt_binary64_9320`
6×	`cbrt-unprod_binary64_9318` `prod-exp_binary64_9334` `associate-l_binary64_9226` `add-log-exp_binary64_9324`
4×	`div-exp_binary64_9336` `cbrt-undiv_binary64_9319`
3×	`cancel-sign-sub-inv_binary64_9251` `distribute-lft-in_binary64_9234` `sub-neg_binary64_9278` `distribute-rgt-in_binary64_9235` `flip--_binary64_9260` `flip3--_binary64_9289`
2×	`associate-/l/_binary64_9232` `pow-prod-down_binary64_9356` `unswap-sqr_binary64_9253` `flip-+_binary64_9259` `*-commutative_binary64_9216` `difference-of-squares_binary64_9254` `associate-/r/_binary64_9231` `flip3-+_binary64_9288`
1×	`clear-num_binary64_9284` `times-frac_binary64_9291` `frac-2neg_binary64_9296` `associate-/l_binary64_9230` `distribute-lft-out_binary64_9236` `diff-log_binary64_9377` `associate-/r_binary64_9229` `div-inv_binary64_9282`

Counts

4 → 86

Calls

4 calls:

11.0ms	(/.f64 (.f64 250000 (-.f64 (.f64 x x) (.f64 y y))) (.f64 500 (+.f64 x y)))
9.0ms	(.f64 250000 (-.f64 (.f64 x x) (*.f64 y y)))
6.0ms	(*.f64 500 (+.f64 x y))
4.0ms	(-.f64 (.f64 x x) (.f64 y y))

series120.0ms (8.8%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(/.f64 (.f64 250000 (-.f64 (.f64 x x) (.f64 y y))) (.f64 500 (+.f64 x y)))
30.0ms	(.f64 250000 (-.f64 (.f64 x x) (*.f64 y y)))
23.0ms	(-.f64 (.f64 x x) (.f64 y y))
18.0ms	(*.f64 500 (+.f64 x y))

simplify47.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5256	1227

prune75.0ms (5.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	98	4	102

Error

Counts

102 → 4

Compiler

Compiled 1737 to 731 computations (57.9% saved)

regimes62.0ms (4.5%)

Accuracy

Total 0.0b remaining (94.9%)

Threshold costs 0.0b (94.9%)

Compiler

Compiled 364 to 312 computations (14.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms (0%)

sample414.0ms (30.3%)

Algorithm

1×

intervals

Results

143.0ms	7972×	body	128	valid
5.0ms	76×	body	128	invalid
1.0ms	13×	body	1024	valid
0.0ms	9×	body	512	valid
0.0ms	4×	body	2048	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 97 to 85 computations (12.4% saved)

Details

analyze168.0ms (12.2%)

sample10.0ms (0.7%)

simplify13.0ms (0.9%)

prune2.0ms (0.1%)

localize3.0ms (0.3%)

rewrite9.0ms (0.6%)

series24.0ms (1.8%)

simplify39.0ms (2.8%)

prune22.0ms (1.6%)

localize5.0ms (0.3%)

rewrite4.0ms (0.3%)

series25.0ms (1.8%)

simplify64.0ms (4.7%)

prune13.0ms (0.9%)

localize6.0ms (0.4%)

rewrite21.0ms (1.5%)

series81.0ms (5.9%)

simplify54.0ms (4%)

prune40.0ms (2.9%)

localize10.0ms (0.7%)

rewrite37.0ms (2.7%)

series120.0ms (8.8%)

simplify47.0ms (3.4%)

prune75.0ms (5.5%)

regimes62.0ms (4.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample414.0ms (30.3%)

Profiling