Details

analyze22.0ms (1.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample14.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify8.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`1-exp_binary64` `sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	15	16
2	16	16
3	14	16

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 36 to 27 computations (25% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

rewrite382.0ms (25.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

67×	`*-un-lft-identity_binary64`
41×	`times-frac_binary64`
40×	`add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out_binary64`

Counts

3 → 100

Calls

3 calls:

36.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 1550 to 1162 computations (25% saved)

series49.0ms (3.3%)

Error

0.0b

Counts

3 → 23

Calls

3 calls:

12.0ms	(/.f64 x (+.f64 x 1))
11.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
9.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 576 to 457 computations (20.7% saved)

simplify111.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

408×	`associate-/r*_binary64`
381×	`distribute-rgt-in_binary64` `associate-/l/_binary64`
355×	`div-sub_binary64`
299×	`cancel-sign-sub-inv_binary64`
265×	`distribute-lft-in_binary64`

Counts

123 → 87

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	1582
1	309	1537
2	702	1530
3	1969	1522
4	4540	1522
5	5160	1522

prune43.0ms (2.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	2	88

Error

Counts

88 → 2

Alt Table

Status	Error	Program
▶	16.3b	(/.f64 (+.f64 (.f64 x x) 1) (+.f64 -1 (.f64 x x)))
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 837 to 601 computations (28.2% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

15.8b

(/.f64 (+.f64 (*.f64 x x) 1) (+.f64 -1 (*.f64 x x)))

rewrite35.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64` `*-un-lft-identity_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip-+_binary64` `associate-/r/_binary64`
1×	`pow1_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

1 → 31

Calls

1 calls:

8.0ms

(/.f64 (+.f64 (*.f64 x x) 1) (+.f64 -1 (*.f64 x x)))

Compiler

Compiled 705 to 379 computations (46.2% saved)

series14.0ms (1%)

Error

Counts

1 → 6

Calls

1 calls:

10.0ms

(/.f64 (+.f64 (*.f64 x x) 1) (+.f64 -1 (*.f64 x x)))

Compiler

Compiled 106 to 95 computations (10.4% saved)

simplify80.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

748×	`div-sub_binary64`
442×	`associate-*r/_binary64`
351×	`associate-/r/_binary64`
283×	`cancel-sign-sub-inv_binary64`
236×	`distribute-rgt-out_binary64`

Counts

37 → 15

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	77	875
1	190	790
2	565	790
3	2026	790
4	4434	790
5	5674	790

prune11.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	15	2	17

Error

Counts

17 → 2

Alt Table

Status	Error	Program
	16.3b	(/.f64 (+.f64 (.f64 x x) 1) (+.f64 -1 (.f64 x x)))
	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 240 to 133 computations (44.6% saved)

regimes207.0ms (14%)

Accuracy

Total 0.0b remaining (93.1%)

Threshold costs 0.0b (93.1%)

Compiler

Compiled 3222 to 2496 computations (22.5% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`1-exp_binary64` `sub-neg_binary64` `*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	19	54
2	20	54
3	18	54

end1.0ms (0.1%)

Compiler: Compiled 37 to 28 computations (24.3% saved)

sample488.0ms (32.9%)

Algorithm

1×

intervals

Results

237.0ms

8000×

body

128

valid

Compiler

Compiled 75 to 55 computations (26.7% saved)

Details

analyze22.0ms (1.5%)

sample14.0ms (0.9%)

simplify8.0ms (0.6%)

prune3.0ms (0.2%)

localize6.0ms (0.4%)

rewrite382.0ms (25.7%)

series49.0ms (3.3%)

simplify111.0ms (7.5%)

prune43.0ms (2.9%)

localize5.0ms (0.3%)

rewrite35.0ms (2.3%)

series14.0ms (1%)

simplify80.0ms (5.4%)

prune11.0ms (0.7%)

regimes207.0ms (14%)

simplify3.0ms (0.2%)

end1.0ms (0.1%)

sample488.0ms (32.9%)

Profiling