Details

analyze195.0ms (10.5%)

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
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
25%	32.8%	42.2%	8
25%	23.4%	51.6%	9
28.1%	18%	54%	10
31.6%	11.5%	56.9%	11
33.4%	8.9%	57.8%	12
35.2%	5.7%	59.1%	13
36.1%	4.4%	59.4%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample20.0ms (1.1%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 21 to 17 computations (19% saved)

simplify67.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

715×	`neg-mul-1_binary64`
643×	`distribute-rgt-neg-in_binary64`
551×	`distribute-lft-neg-in_binary64`
432×	`unswap-sqr_binary64`
290×	`*-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	35	10
3	70	10
4	186	10
5	614	10
6	1511	10
7	2652	10
8	4652	10
9	5163	10

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.0b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

rewrite39.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64`
11×	`unpow-prod-down_binary64`
9×	`difference-of-squares_binary64`
7×	`cancel-sign-sub-inv_binary64`
7×	`sqr-pow_binary64`

Counts

1 → 29

Calls

1 calls:

8.0ms

(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 477 to 362 computations (24.1% saved)

series37.0ms (2%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

31.0ms

(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 161 to 127 computations (21.1% saved)

simplify105.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

492×	`distribute-rgt-in_binary64`
485×	`unsub-neg_binary64`
446×	`distribute-lft-in_binary64`
433×	`*-commutative_binary64`
381×	`exp-prod_binary64`

Counts

41 → 23

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	78	600
1	173	579
2	396	507
3	1159	507
4	3261	501
5	4309	501
6	4953	501
7	4762	501

prune9.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

Counts

24 → 2

Alt Table

Status	Error	Program
▶	25.2b	(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) 3))
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 119 to 86 computations (27.7% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
0.1b	(pow.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) 3)
24.2b	(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) 3))

rewrite130.0ms (7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

71×	`add-sqr-sqrt_binary64`
71×	`unpow-prod-down_binary64`
45×	`difference-of-squares_binary64`
34×	`cbrt-prod_binary64`
33×	`sqr-pow_binary64`

Counts

3 → 121

Calls

3 calls:

10.0ms	(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) 3))
10.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
9.0ms	(pow.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) 3)

Compiler

Compiled 1864 to 1499 computations (19.6% saved)

series128.0ms (6.8%)

Error

Counts

3 → 36

Calls

3 calls:

50.0ms	(pow.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) 3)
35.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
32.0ms	(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) 3))

Compiler

Compiled 715 to 585 computations (18.2% saved)

simplify160.0ms (8.6%)

Algorithm

1×	egg-herbie

Rules

526×	`distribute-rgt-in_binary64`
463×	`distribute-lft-in_binary64`
308×	`unswap-sqr_binary64`
302×	`associate-+r+_binary64`
299×	`associate-+l+_binary64`

Counts

157 → 115

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	2983
1	421	2863
2	1233	2469
3	2195	2469
4	4999	2469
5	4919	2469

prune26.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	115	2	117

Error

Counts

117 → 2

Alt Table

Status	Error	Program
	25.2b	(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) 3))
	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 479 to 352 computations (26.5% saved)

regimes86.0ms (4.6%)

Accuracy

Total 0.0b remaining (15%)

Threshold costs 0.0b (15%)

Compiler

Compiled 520 to 423 computations (18.7% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	9	10
2	14	10
3	16	10
4	17	10
5	17	10

end1.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

sample845.0ms (45.3%)

Algorithm

1×

intervals

Results

500.0ms	8000×	body	128	valid
21.0ms	322×	body	128	invalid

Compiler

Compiled 42 to 34 computations (19% saved)

Details

analyze195.0ms (10.5%)

sample20.0ms (1.1%)

simplify67.0ms (3.6%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite39.0ms (2.1%)

series37.0ms (2%)

simplify105.0ms (5.6%)

prune9.0ms (0.5%)

localize7.0ms (0.4%)

rewrite130.0ms (7%)

series128.0ms (6.8%)

simplify160.0ms (8.6%)

prune26.0ms (1.4%)

regimes86.0ms (4.6%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample845.0ms (45.3%)

Profiling