Details

analyze70.0ms (2.2%)

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 5 computations (37.5% saved)

sample32.0ms (1%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`associate-r_binary64`
1×	`associate-l_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	10	7
3	10	7

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.2b	(.f64 (.f64 x y) y)

Compiler

Compiled 26 to 13 computations (50% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x y) y)

series8.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x y) y)

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-r_binary64`
3×	`cbrt-unprod_binary64`

Counts

1 → 20

Calls

1 calls:

5.0ms

(*.f64 (*.f64 x y) y)

simplify62.0ms (2%)

Algorithm

1×	egg-herbie

Rules

723×	`fma-def_binary64`
373×	`associate-l_binary64`
319×	`unswap-sqr_binary64`
312×	`associate-*r/_binary64`
263×	`associate-*l/_binary64`

Counts

44 → 31

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	389
1	95	344
2	300	344
3	591	342
4	859	342
5	1608	342
6	4153	342
7	4970	342

prune17.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	26	5	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	6	32

Error

0.0b

Counts

32 → 6

Alt Table

Status	Error	Program
	11.2b	(*.f64 (pow.f64 y 2) x)
✓	0.2b	(.f64 (.f64 x y) y)
	38.2b	(.f64 (.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
▶	1.0b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
	28.0b	(.f64 (sqrt.f64 (.f64 (.f64 x y) y)) (sqrt.f64 (.f64 (*.f64 x y) y)))
	29.3b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x y) y) (.f64 (.f64 x y) y)) (.f64 (.f64 x y) y)))

Compiler

Compiled 436 to 153 computations (64.9% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓	0.3b	(.f64 (.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
✓	0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
✓	0.6b	(cbrt.f64 y)

series507.0ms (16.1%)

Counts

4 → 72

Calls

4 calls:

410.0ms	(.f64 (.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
39.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
34.0ms	(cbrt.f64 y)
24.0ms	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))

rewrite31.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`pow1_binary64`
36×	`add-exp-log_binary64`
23×	`pow-prod-down_binary64`
23×	`add-sqr-sqrt_binary64`
22×	`cbrt-unprod_binary64`

Counts

4 → 111

Calls

4 calls:

9.0ms	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
7.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
6.0ms	(.f64 (.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)

simplify134.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

501×	`*-commutative_binary64`
399×	`sqr-pow_binary64`
371×	`log-prod_binary64`
354×	`exp-prod_binary64`
292×	`associate-l_binary64`

Counts

183 → 150

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	125	1908
1	266	1583
2	1044	1476
3	1887	1448
4	3778	1300
5	4522	1296
6	4797	1296
7	4856	1296

prune96.0ms (3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	182	4	186
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	183	9	192

Error

0.0b

Counts

192 → 9

Alt Table

Status	Error	Program
	11.2b	(*.f64 (pow.f64 y 2) x)
	36.9b	(.f64 (.f64 (.f64 x y) (.f64 (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))) (cbrt.f64 y))
	11.5b	(.f64 (.f64 (.f64 x y) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
✓	0.2b	(.f64 (.f64 x y) y)
	38.2b	(.f64 (.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
▶	1.1b	(.f64 (.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
✓	1.0b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
	28.0b	(.f64 (sqrt.f64 (.f64 (.f64 x y) y)) (sqrt.f64 (.f64 (*.f64 x y) y)))
	6.8b	(.f64 (.f64 x (.f64 y (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 y))

Compiler

Compiled 3218 to 895 computations (72.2% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
✓	0.6b	(cbrt.f64 (cbrt.f64 y))
	0.6b	(cbrt.f64 y)
✓	0.6b	(cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))

series625.0ms (19.9%)

Counts

2 → 24

Calls

2 calls:

317.0ms	(cbrt.f64 (cbrt.f64 y))
307.0ms	(cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`cbrt-prod_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 27

Calls

2 calls:

3.0ms	(cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
1.0ms	(cbrt.f64 (cbrt.f64 y))

simplify126.0ms (4%)

Algorithm

1×	egg-herbie

Rules

692×	`sqr-pow_binary64`
622×	`fma-def_binary64`
551×	`unswap-sqr_binary64`
376×	`distribute-rgt-in_binary64`
313×	`*-commutative_binary64`

Counts

51 → 42

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	468
1	78	468
2	138	468
3	283	468
4	779	450
5	1271	450
6	1449	450
7	1730	450
8	2156	450
9	2689	450
10	3638	450
11	4799	450
12	4840	450

prune139.0ms (4.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	244	9	253

Error

0.0b

Counts

253 → 9

Alt Table

Status	Error	Program
	11.2b	(*.f64 (pow.f64 y 2) x)
	36.9b	(.f64 (.f64 (.f64 x y) (.f64 (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))) (cbrt.f64 y))
	11.5b	(.f64 (.f64 (.f64 x y) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
✓	0.2b	(.f64 (.f64 x y) y)
	38.2b	(.f64 (.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
✓	1.1b	(.f64 (.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
✓	1.0b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
	28.0b	(.f64 (sqrt.f64 (.f64 (.f64 x y) y)) (sqrt.f64 (.f64 (*.f64 x y) y)))
▶	6.8b	(.f64 (.f64 x (.f64 y (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 y))

Compiler

Compiled 6089 to 1342 computations (78% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 x (.f64 y (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 y))
	0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
	0.6b	(cbrt.f64 y)
✓	6.8b	(.f64 x (.f64 y (*.f64 (cbrt.f64 y) (cbrt.f64 y))))

series375.0ms (11.9%)

Counts

2 → 48

Calls

2 calls:

353.0ms	(.f64 x (.f64 y (*.f64 (cbrt.f64 y) (cbrt.f64 y))))
22.0ms	(.f64 (.f64 x (.f64 y (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 y))

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-exp-log_binary64`
25×	`pow1_binary64`
17×	`add-cbrt-cube_binary64`
16×	`cbrt-unprod_binary64`
16×	`prod-exp_binary64`

Counts

2 → 52

Calls

2 calls:

12.0ms	(.f64 (.f64 x (.f64 y (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 y))
7.0ms	(.f64 x (.f64 y (*.f64 (cbrt.f64 y) (cbrt.f64 y))))

simplify98.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

736×	`fma-def_binary64`
400×	`*-commutative_binary64`
335×	`sqr-pow_binary64`
282×	`distribute-rgt-neg-in_binary64`
282×	`unswap-sqr_binary64`

Counts

100 → 75

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	93	1620
1	233	1077
2	784	1057
3	1292	963
4	2119	961
5	3270	961
6	4837	961
7	4871	961

prune105.0ms (3.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	185	9	194

Error

0.0b

Counts

194 → 9

Alt Table

Status	Error	Program
	11.2b	(*.f64 (pow.f64 y 2) x)
	36.9b	(.f64 (.f64 (.f64 x y) (.f64 (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))) (cbrt.f64 y))
	11.5b	(.f64 (.f64 (.f64 x y) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
✓	0.2b	(.f64 (.f64 x y) y)
	38.2b	(.f64 (.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
✓	1.1b	(.f64 (.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
✓	1.0b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
	28.0b	(.f64 (sqrt.f64 (.f64 (.f64 x y) y)) (sqrt.f64 (.f64 (*.f64 x y) y)))
✓	6.8b	(.f64 (.f64 x (.f64 y (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 y))

Compiler

Compiled 3133 to 964 computations (69.2% saved)

regimes144.0ms (4.6%)

Accuracy

Total 0.1b remaining (76%)

Threshold costs 0.1b (76%)

Counts

40 → 1

Compiler

Compiled 2084 to 1090 computations (47.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	7	7

end0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

sample506.0ms (16.1%)

Algorithm

1×

intervals

Results

203.0ms	8000×	body	128	valid
4.0ms	195×	body	128	invalid

Compiler

Compiled 143 to 75 computations (47.6% saved)

Details

analyze70.0ms (2.2%)

sample32.0ms (1%)

simplify8.0ms (0.3%)

prune2.0ms (0%)

localize3.0ms (0.1%)

series8.0ms (0.2%)

rewrite5.0ms (0.2%)

simplify62.0ms (2%)

prune17.0ms (0.5%)

localize10.0ms (0.3%)

series507.0ms (16.1%)

rewrite31.0ms (1%)

simplify134.0ms (4.2%)

prune96.0ms (3%)

localize10.0ms (0.3%)

series625.0ms (19.9%)

rewrite5.0ms (0.1%)

simplify126.0ms (4%)

prune139.0ms (4.4%)

localize6.0ms (0.2%)

series375.0ms (11.9%)

rewrite22.0ms (0.7%)

simplify98.0ms (3.1%)

prune105.0ms (3.3%)

regimes144.0ms (4.6%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample506.0ms (16.1%)

Profiling