Details

analyze6.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.2s (45.7%)

Results

1.0s	8256×	body	128	valid
1.0ms	5×	body	128	invalid

Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify200.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

1115×	`distribute-rgt-neg-in_binary64`
788×	`distribute-rgt-out--_binary64`
692×	`unsub-neg_binary64`
492×	`fma-neg_binary64`
461×	`distribute-neg-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	24	20
3	34	20
4	50	20
5	73	20
6	113	20
7	247	20
8	452	20
9	742	20
10	1560	20
11	2338	20
12	2392	20
13	2628	20
14	2776	20
15	2774	20
16	2851	20
17	3110	20
18	3673	20
19	4665	20
20	4910	20
21	4952	20
22	4963	20
23	4960	20
24	6208	20

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 42 to 30 computations (28.6% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
✓	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))

series11.0ms (0.4%)

Counts

2 → 24

Calls

2 calls:

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

rewrite911.0ms (33.9%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`*-un-lft-identity_binary64`
22×	`times-frac_binary64`
19×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
13×	`fma-def_binary64`

Counts

2 → 58

Calls

2 calls:

455.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
3.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

simplify83.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

946×	`fma-neg_binary64`
458×	`fma-def_binary64`
328×	`associate-l_binary64`
327×	`associate-/r*_binary64`
308×	`associate-r_binary64`

Counts

82 → 108

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	1319
1	401	1237
2	1117	1220
3	3794	1220
4	4945	1220
5	5002	1220

prune122.0ms (4.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	108	1	109

Error

Counts

109 → 1

Alt Table

Status	Error	Program
✓	0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 2201 to 1553 computations (29.4% saved)

regimes25.0ms (0.9%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

5 → 1

Compiler

Compiled 199 to 148 computations (25.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	24	20
3	28	20
4	30	20
5	29	20

end87.0ms (3.3%)

Compiler: Compiled 42 to 30 computations (28.6% saved)

Details

analyze6.0ms (0.2%)

sample1.2s (45.7%)

simplify200.0ms (7.4%)

prune2.0ms (0.1%)

localize9.0ms (0.3%)

series11.0ms (0.4%)

rewrite911.0ms (33.9%)

simplify83.0ms (3.1%)

prune122.0ms (4.5%)

regimes25.0ms (0.9%)

simplify3.0ms (0.1%)

end87.0ms (3.3%)

Profiling