Details

analyze23.0ms (2%)

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 (1.3%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify9.0ms (0.8%)

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

prune8.0ms (0.7%)

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 (0.6%)

Local error

Found 2 expressions with local error:

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

rewrite110.0ms (9.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

49×	`*-un-lft-identity_binary64`
30×	`add-sqr-sqrt_binary64`
29×	`times-frac_binary64`
14×	`add-cube-cbrt_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out_binary64`

Counts

2 → 67

Calls

2 calls:

36.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
8.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 1026 to 790 computations (23% saved)

series38.0ms (3.4%)

Error

0.0b

Counts

2 → 19

Calls

2 calls:

13.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
11.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 452 to 365 computations (19.2% saved)

simplify135.0ms (12.1%)

Algorithm

1×	egg-herbie

Rules

464×	`associate-/r*_binary64`
365×	`associate-*l/_binary64`
304×	`unswap-sqr_binary64`
283×	`cancel-sign-sub-inv_binary64`
249×	`distribute-rgt-in_binary64`

Counts

86 → 74

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	97	1249
1	227	1208
2	497	1206
3	1392	1203
4	3700	1200
5	4827	1200
6	4964	1200
7	4888	1200

prune41.0ms (3.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	2	75

Error

Counts

75 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
▶	16.1b	(/.f64 (+.f64 1 (.f64 x x)) (+.f64 -1 (.f64 x x)))

Compiler

Compiled 712 to 522 computations (26.7% saved)

localize5.0ms (0.5%)

Local error

Found 1 expressions with local error:

15.6b

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

rewrite35.0ms (3.1%)

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:

6.0ms

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

Compiler

Compiled 705 to 379 computations (46.2% saved)

series17.0ms (1.5%)

Error

Counts

1 → 9

Calls

1 calls:

13.0ms

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

Compiler

Compiled 177 to 158 computations (10.7% saved)

simplify89.0ms (8%)

Algorithm

1×	egg-herbie

Rules

614×	`div-sub_binary64`
548×	`distribute-rgt-in_binary64`
426×	`distribute-lft-in_binary64`
393×	`associate-/l/_binary64`
214×	`cancel-sign-sub-inv_binary64`

Counts

40 → 17

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	85	942
1	210	874
2	512	874
3	1550	874
4	4366	874
5	5318	874

prune11.0ms (1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	17	2	19

Error

Counts

19 → 2

Alt Table

Status	Error	Program
	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
	16.1b	(/.f64 (+.f64 1 (.f64 x x)) (+.f64 -1 (.f64 x x)))

Compiler

Compiled 242 to 142 computations (41.3% saved)

regimes79.0ms (7.1%)

Accuracy

Total 0.0b remaining (91.3%)

Threshold costs 0.0b (91.3%)

Compiler

Compiled 1085 to 836 computations (22.9% saved)

simplify3.0ms (0.3%)

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	25
1	19	25
2	20	25
3	17	25

end1.0ms (0.1%)

Compiler: Compiled 18 to 13 computations (27.8% saved)

sample493.0ms (44.1%)

Algorithm

1×

intervals

Results

251.0ms

8000×

body

128

valid

Compiler

Compiled 56 to 40 computations (28.6% saved)

Details

analyze23.0ms (2%)

sample14.0ms (1.3%)

simplify9.0ms (0.8%)

prune8.0ms (0.7%)

localize6.0ms (0.6%)

rewrite110.0ms (9.8%)

series38.0ms (3.4%)

simplify135.0ms (12.1%)

prune41.0ms (3.7%)

localize5.0ms (0.5%)

rewrite35.0ms (3.1%)

series17.0ms (1.5%)

simplify89.0ms (8%)

prune11.0ms (1%)

regimes79.0ms (7.1%)

simplify3.0ms (0.3%)

end1.0ms (0.1%)

sample493.0ms (44.1%)

Profiling