Details

analyze67.0ms (5.4%)

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
37.5%	62.4%	0.1%	6
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

sample12.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

valid

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

prune8.0ms (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 → 2

localize4.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/ y (+ y 1.0))
0.0b	(* x (/ y (+ y 1.0)))

rewrite19.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `times-frac`
20×	`add-cube-cbrt`
18×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`associate-l` `associate-/l*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 70

Calls

2 calls:

9.0ms	(* x (/ y (+ y 1.0)))
8.0ms	(/ y (+ y 1.0))

series9.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(* x (/ y (+ y 1.0)))
3.0ms	(/ y (+ y 1.0))

simplify59.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5485	665

prune101.0ms (8.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	76	2	78

Merged error: 0b

Counts

78 → 2

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

9.4b	(/ (* x y) (+ y 1.0))

rewrite7.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
4×	`times-frac` `associate-/r*`
3×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `distribute-lft-out`
1×	`pow1` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `cbrt-unprod` `flip-+` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

6.0ms

(/ (* x y) (+ y 1.0))

series7.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(/ (* x y) (+ y 1.0))

simplify49.0ms (4%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5421	248

prune39.0ms (3.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	28	2	30

Merged error: 0b

Counts

30 → 2

localize7.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ y 1.0))
0.0b	(/ y (+ y 1.0))
0.0b	(* (* x (sqrt (/ y (+ y 1.0)))) (sqrt (/ y (+ y 1.0))))
0.0b	(* x (sqrt (/ y (+ y 1.0))))

rewrite42.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`*-un-lft-identity`
49×	`times-frac`
48×	`add-sqr-sqrt`
42×	`associate-r`
41×	`add-cube-cbrt`
38×	`sqrt-prod`
15×	`add-exp-log` `add-cbrt-cube`
14×	`distribute-lft-out`
11×	`pow1`
8×	`associate-/r*` `associate-/r/`
6×	`associate-/l*`
5×	`sqrt-div`
4×	`flip3-+` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `*-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 144

Calls

4 calls:

16.0ms	(* (* x (sqrt (/ y (+ y 1.0)))) (sqrt (/ y (+ y 1.0))))
11.0ms	(* x (sqrt (/ y (+ y 1.0))))
5.0ms	(/ y (+ y 1.0))
5.0ms	(/ y (+ y 1.0))

series26.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

11.0ms	(* x (sqrt (/ y (+ y 1.0))))
9.0ms	(* (* x (sqrt (/ y (+ y 1.0)))) (sqrt (/ y (+ y 1.0))))
3.0ms	(/ y (+ y 1.0))
2.0ms	(/ y (+ y 1.0))

simplify47.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4969	1557
1	4969	1557

prune272.0ms (22.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	156	2	158

Merged error: 0b

Counts

158 → 2

regimes120.0ms (9.8%)

Accuracy

Total 0.1b remaining (80.6%)

Threshold costs 0.1b (80.6%)

bsearch21.0ms (1.7%)

Steps

Iters	Range		Point
8	9242958339187.617	24596326403611464.0	60684360887918.63
8	-8.62274391940777e+34	-1.3826541499021205e+32	-1.6455685274748016e+32

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	31
1	23	31

end0.0ms (0%)

sample307.0ms (24.9%)

Algorithm

1×

intervals

Results

185.0ms

8000×

body

valid

Details

analyze67.0ms (5.4%)

sample12.0ms (1%)

simplify3.0ms (0.2%)

prune8.0ms (0.6%)

localize4.0ms (0.4%)

rewrite19.0ms (1.6%)

series9.0ms (0.8%)

simplify59.0ms (4.8%)

prune101.0ms (8.2%)

localize5.0ms (0.4%)

rewrite7.0ms (0.6%)

series7.0ms (0.5%)

simplify49.0ms (4%)

prune39.0ms (3.2%)

localize7.0ms (0.6%)

rewrite42.0ms (3.4%)

series26.0ms (2.1%)

simplify47.0ms (3.8%)

prune272.0ms (22.1%)

regimes120.0ms (9.8%)

bsearch21.0ms (1.7%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample307.0ms (24.9%)

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