Details

analyze75.0ms (4.3%)

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)

sample11.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms	253×	body	128	valid
0.0ms	2×	body	2048	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify106.0ms (6.1%)

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)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_8966`
7×	`*-un-lft-identity_binary64_8944`
6×	`cancel-sign-sub-inv_binary64_8910`
5×	`add-cube-cbrt_binary64_8979` `associate-r_binary64_8884`
4×	`distribute-rgt-in_binary64_8894` `distribute-lft-in_binary64_8893`
3×	`associate-l_binary64_8885` `pow1_binary64_9005` `add-cbrt-cube_binary64_8980` `add-exp-log_binary64_8982`
2×	`associate-*r/_binary64_8886` `sub-neg_binary64_8937`
1×	`flip3--_binary64_8948` `flip--_binary64_8919` `prod-exp_binary64_8993` `distribute-lft-out--_binary64_8896` `*-commutative_binary64_8875` `difference-of-squares_binary64_8913` `unswap-sqr_binary64_8912` `pow-prod-down_binary64_9015` `add-log-exp_binary64_8983` `cbrt-unprod_binary64_8977`

Counts

1 → 30

Calls

1 calls:

7.0ms

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

series20.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify42.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4959	298
1	4959	298

prune24.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	3	34

Error

0.0b

Counts

34 → 3

Compiler

Compiled 326 to 196 computations (39.9% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_8983`
1×	`flip3-+_binary64_8947` `+-commutative_binary64_8874` `add-cube-cbrt_binary64_8979` `*-un-lft-identity_binary64_8944` `pow1_binary64_9005` `add-cbrt-cube_binary64_8980` `sum-log_binary64_9035` `flip-+_binary64_8918` `add-exp-log_binary64_8982` `add-sqr-sqrt_binary64_8966`

Counts

1 → 11

Calls

1 calls:

4.0ms

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

series24.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify68.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4964	159
1	4964	159

prune10.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	14	3	17

Error

0.0b

Counts

17 → 3

Compiler

Compiled 166 to 110 computations (33.7% 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)))

rewrite24.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_9005` `add-exp-log_binary64_8982`
11×	`add-sqr-sqrt_binary64_8966`
9×	`prod-exp_binary64_8993` `add-cbrt-cube_binary64_8980` `pow-prod-down_binary64_9015` `cbrt-unprod_binary64_8977`
7×	`-un-lft-identity_binary64_8944` `associate-r*_binary64_8884`
6×	`associate-l_binary64_8885`
5×	`add-cube-cbrt_binary64_8979`
4×	`cbrt-prod_binary64_8975` `associate-*l/_binary64_8887`
2×	`associate-r/_binary64_8886` `flip3--_binary64_8948` `flip--_binary64_8919` `-commutative_binary64_8875` `unswap-sqr_binary64_8912` `add-log-exp_binary64_8983`
1×	`distribute-lft-out--_binary64_8896` `difference-of-squares_binary64_8913`

Counts

2 → 50

Calls

2 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))
8.0ms	(*.f64 (-.f64 x y) (cbrt.f64 200))

series98.0ms (5.7%)

Counts

2 → 6

Calls

2 calls:

65.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))
32.0ms	(*.f64 (-.f64 x y) (cbrt.f64 200))

simplify52.0ms (3%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5116	604

prune48.0ms (2.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	55	4	59

Error

Counts

59 → 4

Compiler

Compiled 781 to 543 computations (30.5% saved)

localize11.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.2b

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

0.3b

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

0.5b

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

rewrite44.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`pow1_binary64_9005` `add-exp-log_binary64_8982`
19×	`prod-exp_binary64_8993` `associate-r_binary64_8884` `pow-prod-down_binary64_9015` `cbrt-unprod_binary64_8977`
18×	`add-sqr-sqrt_binary64_8966`
15×	`add-cbrt-cube_binary64_8980`
14×	`cbrt-prod_binary64_8975`
12×	`*-un-lft-identity_binary64_8944`
10×	`add-cube-cbrt_binary64_8979` `associate-*l/_binary64_8887`
7×	`associate-l_binary64_8885` `sqrt-prod_binary64_8960`
3×	`flip3--_binary64_8948` `flip--_binary64_8919` `*-commutative_binary64_8875` `unswap-sqr_binary64_8912` `add-log-exp_binary64_8983`
2×	`associate-*r/_binary64_8886`
1×	`distribute-lft-out--_binary64_8896` `difference-of-squares_binary64_8913`

Counts

3 → 86

Calls

3 calls:

16.0ms

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

11.0ms

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

9.0ms

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

series380.0ms (22%)

Counts

3 → 9

Calls

3 calls:

161.0ms

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

132.0ms

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

87.0ms

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

simplify61.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5101	1438

prune101.0ms (5.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	95	4	99

Error

Counts

99 → 4

Compiler

Compiled 1766 to 1383 computations (21.7% saved)

regimes75.0ms (4.4%)

Accuracy

Total 0.0b remaining (76.2%)

Threshold costs 0.0b (76.2%)

Compiler

Compiled 369 to 339 computations (8.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample417.0ms (24.2%)

Algorithm

1×

intervals

Results

155.0ms	7848×	body	128	valid
4.0ms	48×	body	2048	valid
3.0ms	53×	body	1024	valid
1.0ms	28×	body	512	valid
1.0ms	58×	body	128	invalid
1.0ms	23×	body	256	valid

Compiler

Compiled 80 to 75 computations (6.3% saved)

Details

analyze75.0ms (4.3%)

sample11.0ms (0.7%)

simplify106.0ms (6.1%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite9.0ms (0.5%)

series20.0ms (1.1%)

simplify42.0ms (2.4%)

prune24.0ms (1.4%)

localize5.0ms (0.3%)

rewrite6.0ms (0.4%)

series24.0ms (1.4%)

simplify68.0ms (3.9%)

prune10.0ms (0.6%)

localize7.0ms (0.4%)

rewrite24.0ms (1.4%)

series98.0ms (5.7%)

simplify52.0ms (3%)

prune48.0ms (2.8%)

localize11.0ms (0.6%)

rewrite44.0ms (2.6%)

series380.0ms (22%)

simplify61.0ms (3.5%)

prune101.0ms (5.9%)

regimes75.0ms (4.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample417.0ms (24.2%)

Profiling