Details

analyze191.0ms (12.5%)

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 (1.3%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 21 to 17 computations (19% saved)

simplify66.0ms (4.3%)

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)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite40.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64`
11×	`unpow-prod-down_binary64`
9×	`difference-of-squares_binary64`
7×	`*-un-lft-identity_binary64` `sqr-pow_binary64` `cancel-sign-sub-inv_binary64`
3×	`add-log-exp_binary64` `add-cube-cbrt_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)

series40.0ms (2.7%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

37.0ms

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

Compiler

Compiled 161 to 127 computations (21.1% saved)

simplify112.0ms (7.4%)

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 (0.6%)

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
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
▶	0.4b	(.f64 (+.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 129 to 80 computations (38% saved)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 y y))
0.0b	(+.f64 (.f64 x x) (.f64 y y))
0.4b	(.f64 (+.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y)))

rewrite54.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
5×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
4×	`flip3--_binary64` `flip3-+_binary64` `frac-times_binary64` `flip--_binary64` `flip-+_binary64` `associate-r_binary64`
3×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64` `associate-l_binary64`
2×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l/_binary64` `associate-r/_binary64` `difference-of-squares_binary64`

Counts

3 → 55

Calls

3 calls:

10.0ms	(.f64 (+.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y)))
7.0ms	(-.f64 (.f64 x x) (.f64 y y))
4.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 1511 to 195 computations (87.1% saved)

series105.0ms (6.9%)

Error

Counts

3 → 36

Calls

3 calls:

51.0ms	(.f64 (+.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y)))
26.0ms	(-.f64 (.f64 x x) (.f64 y y))
24.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 807 to 523 computations (35.2% saved)

simplify93.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

351×	`exp-prod_binary64`
344×	`difference-of-squares_binary64`
340×	`*-commutative_binary64`
273×	`sqr-pow_binary64`
218×	`exp-sum_binary64`

Counts

91 → 69

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	91	1510
1	247	1378
2	1013	1378
3	1675	1378
4	3236	1378
5	5071	1378

prune29.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	69	2	71

Error

Counts

71 → 2

Alt Table

Status	Error	Program
	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
	0.4b	(.f64 (+.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 945 to 312 computations (67% saved)

regimes63.0ms (4.1%)

Accuracy

Total 0.0b remaining (54.5%)

Threshold costs 0.0b (54.5%)

Compiler

Compiled 455 to 333 computations (26.8% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

sample686.0ms (45%)

Algorithm

1×

intervals

Results

357.0ms	8000×	body	128	valid
13.0ms	316×	body	128	invalid

Compiler

Compiled 47 to 31 computations (34% saved)

Details

analyze191.0ms (12.5%)

sample20.0ms (1.3%)

simplify66.0ms (4.3%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite40.0ms (2.6%)

series40.0ms (2.7%)

simplify112.0ms (7.4%)

prune9.0ms (0.6%)

localize7.0ms (0.5%)

rewrite54.0ms (3.5%)

series105.0ms (6.9%)

simplify93.0ms (6.1%)

prune29.0ms (1.9%)

regimes63.0ms (4.1%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample686.0ms (45%)

Profiling