Details

analyze2.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample9.0ms (0.7%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

valid

simplify21.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	345	5
1	345	5

prune4.0ms (0.3%)

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

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/ x (- 1.0 x))

rewrite6.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
11×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

5.0ms

(/ x (- 1.0 x))

series3.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ x (- 1.0 x))

simplify49.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4965	368
1	4965	368

prune240.0ms (18.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	2	41

Merged error: 0b

Counts

41 → 2

localize7.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ x (- 1.0 x))) (cbrt (/ x (- 1.0 x))))
0.3b	(cbrt (/ x (- 1.0 x)))
0.3b	(cbrt (/ x (- 1.0 x)))
0.3b	(cbrt (/ x (- 1.0 x)))

rewrite48.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Rules

171×	`cbrt-prod`
141×	`add-sqr-sqrt`
135×	`*-un-lft-identity`
123×	`times-frac`
75×	`add-cube-cbrt`
30×	`swap-sqr`
27×	`distribute-lft-out--`
24×	`associate-r` `associate-l`
21×	`difference-of-squares`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 198

Calls

4 calls:

24.0ms	(* (cbrt (/ x (- 1.0 x))) (cbrt (/ x (- 1.0 x))))
5.0ms	(cbrt (/ x (- 1.0 x)))
5.0ms	(cbrt (/ x (- 1.0 x)))
5.0ms	(cbrt (/ x (- 1.0 x)))

series31.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (cbrt (/ x (- 1.0 x))) (cbrt (/ x (- 1.0 x))))
8.0ms	(cbrt (/ x (- 1.0 x)))
7.0ms	(cbrt (/ x (- 1.0 x)))
7.0ms	(cbrt (/ x (- 1.0 x)))

simplify89.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4942	3004
1	4942	3004

prune517.0ms (39.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	210	2	212

Merged error: 0b

Counts

212 → 2

regimes66.0ms (5%)

Accuracy

Total 0.0b remaining (13.8%)

Threshold costs 0.0b (13.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	5
1	14	5

end0.0ms (0%)

sample217.0ms (16.5%)

Algorithm

1×

intervals

Results

131.0ms

8000×

body

valid

Details

analyze2.0ms (0.2%)

sample9.0ms (0.7%)

simplify21.0ms (1.6%)

prune4.0ms (0.3%)

localize3.0ms (0.2%)

rewrite6.0ms (0.5%)

series3.0ms (0.2%)

simplify49.0ms (3.8%)

prune240.0ms (18.3%)

localize7.0ms (0.6%)

rewrite48.0ms (3.7%)

series31.0ms (2.4%)

simplify89.0ms (6.7%)

prune517.0ms (39.4%)

regimes66.0ms (5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample217.0ms (16.5%)

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