Details

analyze28.0ms (1.3%)

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
50%	50%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

sample13.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

valid

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	6
1	11	6

prune5.0ms (0.2%)

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: 16.1b

Counts

2 → 1

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

15.6b

(cbrt (/ g (* 2.0 a)))

rewrite3.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-prod`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
1×	`pow1` `add-exp-log` `cbrt-div` `pow1/3` `add-cbrt-cube` `div-inv` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

3.0ms

(cbrt (/ g (* 2.0 a)))

series17.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

17.0ms

(cbrt (/ g (* 2.0 a)))

simplify41.0ms (2%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4813	162
1	4813	162

prune55.0ms (2.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	13	6	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	7	20

Merged error: 0.2b

Counts

20 → 7

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.3b	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
0.5b	(cbrt (/ 1 (* 2.0 a)))
0.5b	(cbrt g)

rewrite12.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod`
19×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
6×	`times-frac` `associate-l`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `unswap-sqr`
3×	`add-cbrt-cube` `add-log-exp`
2×	`cbrt-div` `pow-prod-down` `div-inv`
1×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod`

Counts

3 → 60

Calls

3 calls:

7.0ms	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
3.0ms	(cbrt (/ 1 (* 2.0 a)))
1.0ms	(cbrt g)

series67.0ms (3.2%)

Counts

3 → 9

Calls

3 calls:

24.0ms	(cbrt (/ 1 (* 2.0 a)))
24.0ms	(cbrt g)
20.0ms	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))

simplify54.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4808	560
1	4808	560

prune167.0ms (8.1%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	55	14	69
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	57	19	76

Merged error: 0.0b

Counts

76 → 19

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt g) (* (cbrt -0.5) (cbrt (/ -1 a))))
0.5b	(* (cbrt -0.5) (cbrt (/ -1 a)))
0.5b	(cbrt g)
0.6b	(cbrt (/ -1 a))

rewrite24.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`cbrt-prod`
38×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
20×	`times-frac`
17×	`associate-r`
12×	`associate-l`
11×	`pow1` `add-exp-log`
7×	`pow1/3` `pow-prod-down`
6×	`unswap-sqr`
5×	`add-cbrt-cube`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`cbrt-div` `associate-*r/`
2×	`*-commutative` `div-inv`

Counts

4 → 97

Calls

4 calls:

9.0ms	(* (cbrt g) (* (cbrt -0.5) (cbrt (/ -1 a))))
8.0ms	(* (cbrt -0.5) (cbrt (/ -1 a)))
2.0ms	(cbrt (/ -1 a))
1.0ms	(cbrt g)

series103.0ms (5%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (cbrt -0.5) (cbrt (/ -1 a)))
28.0ms	(* (cbrt g) (* (cbrt -0.5) (cbrt (/ -1 a))))
23.0ms	(cbrt (/ -1 a))
21.0ms	(cbrt g)

simplify56.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5192	908

prune262.0ms (12.7%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	104	5	109
Fresh	3	13	16
Picked	1	0	1
Done	0	2	2
Total	108	20	128

Merged error: 0.0b

Counts

128 → 20

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.4b	(/ (cbrt g) (cbrt (* 2.0 a)))
0.5b	(cbrt g)
0.6b	(cbrt (* 2.0 a))

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`cbrt-prod`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-/l*`
5×	`add-exp-log`
4×	`associate-/r*`
3×	`pow1` `add-cbrt-cube` `add-log-exp`
2×	`pow1/3`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 66

Calls

3 calls:

4.0ms	(/ (cbrt g) (cbrt (* 2.0 a)))
2.0ms	(cbrt (* 2.0 a))
1.0ms	(cbrt g)

series67.0ms (3.2%)

Counts

3 → 9

Calls

3 calls:

24.0ms	(cbrt (* 2.0 a))
22.0ms	(cbrt g)
21.0ms	(/ (cbrt g) (cbrt (* 2.0 a)))

simplify69.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4835	689
1	4835	689

prune114.0ms (5.5%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	3	14	17
Picked	1	0	1
Done	0	2	2
Total	77	18	95

Merged error: 0.0b

Counts

95 → 18

regimes535.0ms (25.9%)

Accuracy

Total 0.8b remaining (92.9%)

Threshold costs 0.8b (92.9%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms (0%)

sample335.0ms (16.2%)

Algorithm

1×

intervals

Results

203.0ms

8000×

body

valid

Details

analyze28.0ms (1.3%)

sample13.0ms (0.6%)

simplify3.0ms (0.1%)

prune5.0ms (0.2%)

localize5.0ms (0.2%)

rewrite3.0ms (0.2%)

series17.0ms (0.8%)

simplify41.0ms (2%)

prune55.0ms (2.7%)

localize8.0ms (0.4%)

rewrite12.0ms (0.6%)

series67.0ms (3.2%)

simplify54.0ms (2.6%)

prune167.0ms (8.1%)

localize9.0ms (0.4%)

rewrite24.0ms (1.2%)

series103.0ms (5%)

simplify56.0ms (2.7%)

prune262.0ms (12.7%)

localize8.0ms (0.4%)

rewrite9.0ms (0.4%)

series67.0ms (3.2%)

simplify69.0ms (3.3%)

prune114.0ms (5.5%)

regimes535.0ms (25.9%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample335.0ms (16.2%)

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