Details

analyze39.0ms (1.7%)

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
50%	50%	0.1%	4
50%	50%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
87.4%	12.5%	0.1%	8
87.4%	12.5%	0.1%	9
93.7%	6.2%	0.1%	10
93.7%	6.2%	0.1%	11
96.8%	3.1%	0.1%	12
96.8%	3.1%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample24.0ms (1%)

Algorithm

1×

intervals

Results

8.0ms	242×	body	128	valid
1.0ms	6×	body	1024	valid
0.0ms	3×	body	2048	valid
0.0ms	3×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify110.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	310	10
1	310	10

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 x y) 2))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_17167` `*-un-lft-identity_binary64_17128`
1×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `flip-+_binary64_17102` `add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166` `pow1_binary64_17189` `distribute-lft-out_binary64_17079` `div-sub_binary64_17133` `+-commutative_binary64_17058` `sum-log_binary64_17219` `associate-+r-_binary64_17062` `flip3-+_binary64_17131`

Counts

1 → 13

Calls

1 calls:

10.0ms

(+.f64 x (/.f64 (-.f64 x y) 2))

series24.0ms (1%)

Counts

1 → 3

Calls

1 calls:

24.0ms

(+.f64 x (/.f64 (-.f64 x y) 2))

simplify78.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5187	228

prune32.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	13	3	16
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	3	17

Merged error: 0.1b

Counts

17 → 3

Compiler

Compiled 251 to 148 computations (41% saved)

localize10.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x 3/2) (.f64 y 1/2))

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_17167`
1×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `diff-log_binary64_17220` `add-cbrt-cube_binary64_17164` `flip--_binary64_17103` `add-exp-log_binary64_17166` `pow1_binary64_17189` `*-un-lft-identity_binary64_17128` `sub-neg_binary64_17121` `flip3--_binary64_17132` `cancel-sign-sub-inv_binary64_17094`

Counts

1 → 12

Calls

1 calls:

7.0ms

(-.f64 (*.f64 x 3/2) (*.f64 y 1/2))

series29.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

29.0ms

(-.f64 (*.f64 x 3/2) (*.f64 y 1/2))

simplify53.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5020	213

prune18.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

Compiler

Compiled 248 to 182 computations (26.6% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 x y) (/.f64 (-.f64 x y) 4))
0.0b	(-.f64 x (/.f64 (-.f64 x y) 2))
11.4b	(-.f64 (.f64 x x) (.f64 (-.f64 x y) (/.f64 (-.f64 x y) 4)))
27.3b	(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 x y) (/.f64 (-.f64 x y) 4))) (-.f64 x (/.f64 (-.f64 x y) 2)))

rewrite70.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`add-sqr-sqrt_binary64_17150`
58×	`*-un-lft-identity_binary64_17128`
54×	`times-frac_binary64_17134`
34×	`add-cube-cbrt_binary64_17163`
20×	`cancel-sign-sub-inv_binary64_17094`
19×	`associate-r_binary64_17068`
17×	`difference-of-squares_binary64_17097`
12×	`distribute-lft-out--_binary64_17080`
11×	`add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166`
8×	`add-log-exp_binary64_17167`
6×	`flip--_binary64_17103` `pow1_binary64_17189` `associate-/r*_binary64_17072` `flip3--_binary64_17132`
5×	`associate-l_binary64_17069`
3×	`associate-/l*_binary64_17073` `div-inv_binary64_17125`
2×	`cbrt-undiv_binary64_17162` `diff-log_binary64_17220` `associate-/r/_binary64_17074` `cbrt-unprod_binary64_17161` `associate-*l/_binary64_17071` `prod-exp_binary64_17177` `frac-times_binary64_17138` `unswap-sqr_binary64_17096` `associate-/l/_binary64_17075` `div-sub_binary64_17133` `sub-neg_binary64_17121` `div-exp_binary64_17179`
1×	`associate-r/_binary64_17070` `associate--r-_binary64_17067` `clear-num_binary64_17127` `frac-2neg_binary64_17139` `-commutative_binary64_17059` `pow-prod-down_binary64_17199`

Counts

4 → 134

Calls

4 calls:

25.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 x y) (/.f64 (-.f64 x y) 4))) (-.f64 x (/.f64 (-.f64 x y) 2)))
16.0ms	(*.f64 (-.f64 x y) (/.f64 (-.f64 x y) 4))
11.0ms	(-.f64 x (/.f64 (-.f64 x y) 2))
4.0ms	(-.f64 (.f64 x x) (.f64 (-.f64 x y) (/.f64 (-.f64 x y) 4)))

series160.0ms (7%)

Counts

4 → 12

Calls

4 calls:

92.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 x y) (/.f64 (-.f64 x y) 4))) (-.f64 x (/.f64 (-.f64 x y) 2)))
27.0ms	(-.f64 (.f64 x x) (.f64 (-.f64 x y) (/.f64 (-.f64 x y) 4)))
21.0ms	(-.f64 x (/.f64 (-.f64 x y) 2))
20.0ms	(*.f64 (-.f64 x y) (/.f64 (-.f64 x y) 4))

simplify90.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5477	3829

prune195.0ms (8.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	146	4	150

Merged error: 0.0b

Counts

150 → 4

Compiler

Compiled 4423 to 1939 computations (56.2% saved)

localize18.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x 3/2) (.f64 y 1/2))
0.1b	(.f64 x (.f64 x 9/4))
2.9b	(-.f64 (.f64 x (.f64 x 9/4)) (.f64 y (.f64 y 1/4)))
27.4b	(/.f64 (-.f64 (.f64 x (.f64 x 9/4)) (.f64 y (.f64 y 1/4))) (+.f64 (.f64 x 3/2) (.f64 y 1/2)))

rewrite39.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
11×	`add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166`
9×	`pow1_binary64_17189` `times-frac_binary64_17134`
8×	`add-log-exp_binary64_17167`
3×	`cbrt-unprod_binary64_17161` `prod-exp_binary64_17177` `associate-/l_binary64_17073` `associate-/r_binary64_17072` `pow-prod-down_binary64_17199` `associate-l_binary64_17069`
2×	`associate-/r/_binary64_17074` `flip-+_binary64_17102` `flip--_binary64_17103` `associate-/l/_binary64_17075` `flip3--_binary64_17132` `flip3-+_binary64_17131`
1×	`associate-r_binary64_17068` `clear-num_binary64_17127` `cbrt-undiv_binary64_17162` `diff-log_binary64_17220` `frac-2neg_binary64_17139` `div-sub_binary64_17133` `+-commutative_binary64_17058` `sub-neg_binary64_17121` `div-exp_binary64_17179` `*-commutative_binary64_17059` `sum-log_binary64_17219` `cancel-sign-sub-inv_binary64_17094` `div-inv_binary64_17125`

Counts

4 → 73

Calls

4 calls:

10.0ms	(/.f64 (-.f64 (.f64 x (.f64 x 9/4)) (.f64 y (.f64 y 1/4))) (+.f64 (.f64 x 3/2) (.f64 y 1/2)))
7.0ms	(+.f64 (.f64 x 3/2) (.f64 y 1/2))
5.0ms	(-.f64 (.f64 x (.f64 x 9/4)) (.f64 y (.f64 y 1/4)))
5.0ms	(.f64 x (.f64 x 9/4))

series155.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

75.0ms	(/.f64 (-.f64 (.f64 x (.f64 x 9/4)) (.f64 y (.f64 y 1/4))) (+.f64 (.f64 x 3/2) (.f64 y 1/2)))
33.0ms	(-.f64 (.f64 x (.f64 x 9/4)) (.f64 y (.f64 y 1/4)))
24.0ms	(+.f64 (.f64 x 3/2) (.f64 y 1/2))
22.0ms	(.f64 x (.f64 x 9/4))

simplify81.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4913	1780
1	4913	1780

prune154.0ms (6.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

Compiler

Compiled 2115 to 1522 computations (28% saved)

regimes122.0ms (5.3%)

Compiler: Compiled 1077 to 736 computations (31.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

end0.0ms (0%)

sample758.0ms (33%)

Algorithm

1×

intervals

Results

200.0ms	7399×	body	128	valid
20.0ms	188×	body	2048	valid
17.0ms	188×	body	1024	valid
9.0ms	131×	body	512	valid
4.0ms	94×	body	256	valid

Compiler

Compiled 356 to 247 computations (30.6% saved)

Details

analyze39.0ms (1.7%)

sample24.0ms (1%)

simplify110.0ms (4.8%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite12.0ms (0.5%)

series24.0ms (1%)

simplify78.0ms (3.4%)

prune32.0ms (1.4%)

localize10.0ms (0.4%)

rewrite8.0ms (0.4%)

series29.0ms (1.3%)

simplify53.0ms (2.3%)

prune18.0ms (0.8%)

localize10.0ms (0.4%)

rewrite70.0ms (3.1%)

series160.0ms (7%)

simplify90.0ms (3.9%)

prune195.0ms (8.5%)

localize18.0ms (0.8%)

rewrite39.0ms (1.7%)

series155.0ms (6.7%)

simplify81.0ms (3.5%)

prune154.0ms (6.7%)

regimes122.0ms (5.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample758.0ms (33%)

Profiling