Details

analyze37.0ms (4.5%)

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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

sample12.0ms (1.5%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

prune5.0ms (0.6%)

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

Merged error: 0.0b

Counts

2 → 1

localize9.0ms (1.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x y) (+.f64 y 1.0))

rewrite9.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64`
16×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`distribute-lft-out_binary64`
4×	`associate-/r_binary64` `associate-/l_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 40

Calls

1 calls:

8.0ms

(/.f64 (+.f64 x y) (+.f64 y 1.0))

series8.0ms (1%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(/.f64 (+.f64 x y) (+.f64 y 1.0))

simplify53.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5052	477

prune51.0ms (6.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Merged error: 0b

Counts

44 → 2

localize10.0ms (1.2%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (/.f64 (+.f64 x y) (-.f64 (.f64 y y) (*.f64 1.0 1.0))) (-.f64 y 1.0))
16.9b	(/.f64 (+.f64 x y) (-.f64 (.f64 y y) (.f64 1.0 1.0)))

rewrite28.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64`
33×	`times-frac_binary64`
29×	`add-sqr-sqrt_binary64`
22×	`add-cube-cbrt_binary64` `associate-l_binary64`
10×	`difference-of-squares_binary64`
9×	`distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`associate-/r_binary64` `pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `associate-/l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `flip-+_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 89

Calls

2 calls:

16.0ms	(.f64 (/.f64 (+.f64 x y) (-.f64 (.f64 y y) (*.f64 1.0 1.0))) (-.f64 y 1.0))
9.0ms	(/.f64 (+.f64 x y) (-.f64 (.f64 y y) (.f64 1.0 1.0)))

series35.0ms (4.2%)

Counts

2 → 6

Calls

2 calls:

19.0ms	(.f64 (/.f64 (+.f64 x y) (-.f64 (.f64 y y) (*.f64 1.0 1.0))) (-.f64 y 1.0))
16.0ms	(/.f64 (+.f64 x y) (-.f64 (.f64 y y) (.f64 1.0 1.0)))

simplify48.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4971	1365
1	4971	1365

prune106.0ms (12.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	95	2	97

Merged error: 0b

Counts

97 → 2

regimes96.0ms (11.7%)

Accuracy

Total 0.0b remaining (42.6%)

Threshold costs 0.0b (42.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample305.0ms (37.2%)

Algorithm

1×

intervals

Results

180.0ms	7998×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

analyze37.0ms (4.5%)

sample12.0ms (1.5%)

simplify5.0ms (0.7%)

prune5.0ms (0.6%)

localize9.0ms (1.1%)

rewrite9.0ms (1.1%)

series8.0ms (1%)

simplify53.0ms (6.5%)

prune51.0ms (6.3%)

localize10.0ms (1.2%)

rewrite28.0ms (3.4%)

series35.0ms (4.2%)

simplify48.0ms (5.8%)

prune106.0ms (12.9%)

regimes96.0ms (11.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.4%)

end0.0ms (0%)

sample305.0ms (37.2%)

Profiling