Details

analyze3.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	24.9%	13
75%	0%	25%	14

sample11.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

valid

simplify12.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	341	9
1	341	9

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: 0.1b

Counts

2 → 1

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.0b	(- 1.0 (* x (+ 0.253 (* x 0.12))))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite12.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `associate--r+`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

3 → 46

Calls

3 calls:

5.0ms	(* x (+ 0.253 (* x 0.12)))
3.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
3.0ms	(+ 0.253 (* x 0.12))

series17.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

11.0ms	(* x (+ 0.253 (* x 0.12)))
3.0ms	(+ 0.253 (* x 0.12))
3.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))

simplify40.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5153	524

prune108.0ms (9.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	45	10	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	10	56

Merged error: 0.0b

Counts

56 → 10

localize7.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (+ (* x 0.253) (* x (* x 0.12))))
0.0b	(+ (* x 0.253) (* x (* x 0.12)))
0.2b	(* x (* x 0.12))

rewrite16.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate-r` `*-commutative` `flip--` `flip-+` `distribute-lft-out` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 45

Calls

3 calls:

6.0ms	(- 1.0 (+ (* x 0.253) (* x (* x 0.12))))
5.0ms	(* x (* x 0.12))
4.0ms	(+ (* x 0.253) (* x (* x 0.12)))

series13.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ (* x 0.253) (* x (* x 0.12)))
3.0ms	(* x (* x 0.12))
3.0ms	(- 1.0 (+ (* x 0.253) (* x (* x 0.12))))

simplify41.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5279	507

prune92.0ms (7.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	55	9	64

Merged error: 0b

Counts

64 → 9

localize12.0ms (1%)

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (- (* 0.253 0.253) (* x (* x (* 0.12 0.12)))) (- 0.253 (* x 0.12))))
0.2b	(/ (- (* 0.253 0.253) (* x (* x (* 0.12 0.12)))) (- 0.253 (* x 0.12)))
0.2b	(* x (* x (* 0.12 0.12)))
0.3b	(* x (* 0.12 0.12))

rewrite33.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
25×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`pow1`
19×	`times-frac`
17×	`associate-r`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
9×	`associate-l`
4×	`associate-/r/` `add-log-exp`
3×	`flip3--` `associate-/r` `-commutative` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `div-inv` `associate-/l/`
1×	`frac-2neg` `div-sub` `associate-*r/` `clear-num`

Counts

4 → 106

Calls

4 calls:

10.0ms	(* x (/ (- (* 0.253 0.253) (* x (* x (* 0.12 0.12)))) (- 0.253 (* x 0.12))))
7.0ms	(/ (- (* 0.253 0.253) (* x (* x (* 0.12 0.12)))) (- 0.253 (* x 0.12)))
7.0ms	(* x (* x (* 0.12 0.12)))
6.0ms	(* x (* 0.12 0.12))

series28.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

12.0ms	(* x (/ (- (* 0.253 0.253) (* x (* x (* 0.12 0.12)))) (- 0.253 (* x 0.12))))
9.0ms	(/ (- (* 0.253 0.253) (* x (* x (* 0.12 0.12)))) (- 0.253 (* x 0.12)))
4.0ms	(* x (* 0.12 0.12))
3.0ms	(* x (* x (* 0.12 0.12)))

simplify33.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4969	1453
1	4969	1453

prune222.0ms (19%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	118	9	127

Merged error: 0b

Counts

127 → 9

localize7.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (+ (* x 0.253) (* (* x x) 0.12)))
0.0b	(+ (* x 0.253) (* (* x x) 0.12))
0.4b	(* (* x x) 0.12)

rewrite16.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
4×	`add-cube-cbrt`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate-l` `*-commutative` `flip--` `flip-+` `associate--r+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 45

Calls

3 calls:

6.0ms	(- 1.0 (+ (* x 0.253) (* (* x x) 0.12)))
5.0ms	(* (* x x) 0.12)
4.0ms	(+ (* x 0.253) (* (* x x) 0.12))

series15.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (* x 0.253) (* (* x x) 0.12))
3.0ms	(- 1.0 (+ (* x 0.253) (* (* x x) 0.12)))
3.0ms	(* (* x x) 0.12)

simplify26.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	4918	512
1	4918	512

prune76.0ms (6.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	3	3	6
Picked	0	1	1
Done	0	2	2
Total	56	7	63

Merged error: 0b

Counts

63 → 7

regimes39.0ms (3.4%)

Accuracy

Total 0.1b remaining (91.6%)

Threshold costs 0.1b (91.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	75	11
1	75	11

end0.0ms (0%)

sample277.0ms (23.7%)

Algorithm

1×

intervals

Results

187.0ms	8000×	body	80	valid
0.0ms	4×	body	80	invalid

Details

analyze3.0ms (0.3%)

sample11.0ms (0.9%)

simplify12.0ms (1%)

prune4.0ms (0.3%)

localize6.0ms (0.5%)

rewrite12.0ms (1%)

series17.0ms (1.5%)

simplify40.0ms (3.4%)

prune108.0ms (9.3%)

localize7.0ms (0.6%)

rewrite16.0ms (1.3%)

series13.0ms (1.1%)

simplify41.0ms (3.5%)

prune92.0ms (7.9%)

localize12.0ms (1%)

rewrite33.0ms (2.8%)

series28.0ms (2.4%)

simplify33.0ms (2.8%)

prune222.0ms (19%)

localize7.0ms (0.6%)

rewrite16.0ms (1.4%)

series15.0ms (1.3%)

simplify26.0ms (2.2%)

prune76.0ms (6.5%)

regimes39.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample277.0ms (23.7%)

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