Details

analyze285.0ms (17.4%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

sample24.0ms (1.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	11×	body	80	invalid

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	76	7
1	76	7

prune9.0ms (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 (0.5%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

13.0ms

(* (+ x y) (+ z 1.0))

series12.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

12.0ms

(* (+ x y) (+ z 1.0))

simplify63.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5035	368

prune51.0ms (3.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0b

Counts

34 → 3

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`associate-*l/`
6×	`add-sqr-sqrt` `*-un-lft-identity` `flip3-+` `flip-+`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `frac-add` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

9.0ms	(+ (* (+ x y) z) (* (+ x y) 1.0))
6.0ms	(* (+ x y) z)

series15.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* (+ x y) z) (* (+ x y) 1.0))
5.0ms	(* (+ x y) z)

simplify45.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4928	461
1	4928	461

prune55.0ms (3.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	43	3	46

Merged error: 0b

Counts

46 → 3

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))
0.2b	(cbrt (+ z 1.0))
0.2b	(cbrt (+ z 1.0))
0.2b	(cbrt (+ z 1.0))

rewrite21.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

10.0ms	(* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))
3.0ms	(cbrt (+ z 1.0))
3.0ms	(cbrt (+ z 1.0))
3.0ms	(cbrt (+ z 1.0))

series24.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))
6.0ms	(cbrt (+ z 1.0))
6.0ms	(cbrt (+ z 1.0))
6.0ms	(cbrt (+ z 1.0))

simplify50.0ms (3%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5080	1033

prune222.0ms (13.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Merged error: 0b

Counts

110 → 3

regimes316.0ms (19.3%)

Accuracy

Total 0.0b remaining (54.2%)

Threshold costs 0.0b (54.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms (0%)

sample383.0ms (23.4%)

Algorithm

1×

intervals

Results

186.0ms	7998×	body	80	valid
17.0ms	634×	body	80	invalid
0.0ms	2×	body	1280	valid

Details

analyze285.0ms (17.4%)

sample24.0ms (1.5%)

simplify5.0ms (0.3%)

prune9.0ms (0.6%)

localize9.0ms (0.5%)

rewrite15.0ms (0.9%)

series12.0ms (0.7%)

simplify63.0ms (3.9%)

prune51.0ms (3.1%)

localize6.0ms (0.4%)

rewrite15.0ms (0.9%)

series15.0ms (0.9%)

simplify45.0ms (2.8%)

prune55.0ms (3.4%)

localize8.0ms (0.5%)

rewrite21.0ms (1.3%)

series24.0ms (1.5%)

simplify50.0ms (3%)

prune222.0ms (13.6%)

regimes316.0ms (19.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample383.0ms (23.4%)

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