Details

analyze363.0ms (19.8%)

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
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56%	4%	10
47.3%	48.7%	4%	11
48.4%	45.8%	5.8%	12
58.6%	32.4%	9%	13
63.4%	27.5%	9%	14

sample18.0ms (1%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	23×	body	80	invalid

simplify134.0ms (7.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	5198	7

prune6.0ms (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: 11.8b

Counts

2 → 1

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
11.2b	(/ (* x (+ y z)) z)

rewrite13.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

6.0ms	(/ (* x (+ y z)) z)
6.0ms	(* x (+ y z))

series15.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ (* x (+ y z)) z)
6.0ms	(* x (+ y z))

simplify57.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4994	376
1	4994	376

prune79.0ms (4.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	6	53

Merged error: 0b

Counts

53 → 6

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ y z))
3.7b	(/ x (/ z (+ y z)))

rewrite19.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
16×	`distribute-lft-out`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 123

Calls

2 calls:

8.0ms	(/ x (/ z (+ y z)))
5.0ms	(/ z (+ y z))

series15.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(/ x (/ z (+ y z)))
5.0ms	(/ z (+ y z))

simplify67.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4955	1556
1	4955	1556

prune130.0ms (7.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	130	5	135

Merged error: 0b

Counts

135 → 5

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/ (+ y z) z)
3.9b	(* x (/ (+ y z) z))

rewrite16.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

8.0ms	(* x (/ (+ y z) z))
5.0ms	(/ (+ y z) z)

series12.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(* x (/ (+ y z) z))
4.0ms	(/ (+ y z) z)

simplify51.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4947	619
1	4947	619

prune80.0ms (4.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	74	5	79

Merged error: 0b

Counts

79 → 5

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

9.7b	(* (/ x z) (+ y z))

rewrite11.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-l`
11×	`*-un-lft-identity`
10×	`times-frac`
9×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
4×	`associate-r`
3×	`pow1`
2×	`frac-times` `flip3-+` `associate-*r/` `prod-exp` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `distribute-lft-out` `add-log-exp`

Counts

1 → 39

Calls

1 calls:

10.0ms

(* (/ x z) (+ y z))

series9.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

9.0ms

(* (/ x z) (+ y z))

simplify31.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5301	369

prune43.0ms (2.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	42	5	47

Merged error: 0b

Counts

47 → 5

regimes241.0ms (13.1%)

Accuracy

Total 0.4b remaining (96.8%)

Threshold costs 0.4b (96.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	79
1	30	79

end0.0ms (0%)

sample401.0ms (21.9%)

Algorithm

1×

intervals

Results

197.0ms	8000×	body	80	valid
21.0ms	758×	body	80	invalid

Details

analyze363.0ms (19.8%)

sample18.0ms (1%)

simplify134.0ms (7.3%)

prune6.0ms (0.3%)

localize5.0ms (0.3%)

rewrite13.0ms (0.7%)

series15.0ms (0.8%)

simplify57.0ms (3.1%)

prune79.0ms (4.3%)

localize5.0ms (0.3%)

rewrite19.0ms (1%)

series15.0ms (0.8%)

simplify67.0ms (3.6%)

prune130.0ms (7.1%)

localize5.0ms (0.3%)

rewrite16.0ms (0.8%)

series12.0ms (0.7%)

simplify51.0ms (2.8%)

prune80.0ms (4.4%)

localize5.0ms (0.3%)

rewrite11.0ms (0.6%)

series9.0ms (0.5%)

simplify31.0ms (1.7%)

prune43.0ms (2.3%)

regimes241.0ms (13.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample401.0ms (21.9%)

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