Details

analyze1.0s (18.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.4%	0.2%	12
12.2%	87.6%	0.2%	13
21.8%	77.8%	0.4%	14

sample29.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	209×	body	80	valid
3.0ms	18×	body	640	valid
1.0ms	14×	body	320	valid
1.0ms	7×	body	1280	valid
1.0ms	34×	body	80	invalid
1.0ms	8×	body	160	valid

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4892	13
1	4892	13

prune8.0ms (0.1%)

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: 26.7b

Counts

2 → 1

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) (- t x))
2.9b	(+ x (/ (* (- y z) (- t x)) (- a z)))
18.1b	(/ (* (- y z) (- t x)) (- a z))

rewrite31.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`flip3--` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 79

Calls

3 calls:

12.0ms	(/ (* (- y z) (- t x)) (- a z))
9.0ms	(* (- y z) (- t x))
8.0ms	(+ x (/ (* (- y z) (- t x)) (- a z)))

series101.0ms (1.8%)

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ x (/ (* (- y z) (- t x)) (- a z)))
40.0ms	(/ (* (- y z) (- t x)) (- a z))
9.0ms	(* (- y z) (- t x))

simplify47.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	6037	1081

prune174.0ms (3.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	75	13	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	13	89

Merged error: 4.3b

Counts

89 → 13

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- t x))
3.6b	(+ x (/ (- y z) (/ (- a z) (- t x))))
6.2b	(/ (- y z) (/ (- a z) (- t x)))

rewrite82.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

42.0ms	(+ x (/ (- y z) (/ (- a z) (- t x))))
15.0ms	(/ (- y z) (/ (- a z) (- t x)))
8.0ms	(/ (- a z) (- t x))

series124.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ (- y z) (/ (- a z) (- t x)))
52.0ms	(+ x (/ (- y z) (/ (- a z) (- t x))))
13.0ms	(/ (- a z) (- t x))

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5076	5455

prune324.0ms (5.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	277	6	283
Fresh	7	5	12
Picked	0	1	1
Done	0	0	0
Total	284	12	296

Merged error: 4.0b

Counts

296 → 12

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- t x))
0.0b	(/ (- y z) (- a z))
3.2b	(/ (/ (- y z) (- a z)) (/ 1 (- t x)))
3.9b	(+ x (/ (/ (- y z) (- a z)) (/ 1 (- t x))))

rewrite260.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Rules

1721×	`times-frac`
1222×	`*-un-lft-identity`
1220×	`add-sqr-sqrt`
556×	`add-cube-cbrt`
332×	`distribute-lft-out--` `difference-of-squares`
113×	`associate-/r/`
57×	`flip3--` `flip--` `div-inv`
39×	`associate-/l*`
32×	`add-exp-log`
31×	`associate-/r*`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1` `div-sub`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `associate-+r-` `pow-flip` `flip3-+` `sum-log` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 834

Calls

4 calls:

137.0ms	(+ x (/ (/ (- y z) (- a z)) (/ 1 (- t x))))
31.0ms	(/ (/ (- y z) (- a z)) (/ 1 (- t x)))
8.0ms	(/ (- y z) (- a z))
5.0ms	(/ 1 (- t x))

series128.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ x (/ (/ (- y z) (- a z)) (/ 1 (- t x))))
57.0ms	(/ (/ (- y z) (- a z)) (/ 1 (- t x)))
10.0ms	(/ (- y z) (- a z))
4.0ms	(/ 1 (- t x))

simplify156.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

846 → 846

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5395	20770

prune1.1s (19.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	845	1	846
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	847	11	858

Merged error: 4.0b

Counts

858 → 11

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a z))
0.3b	(* (/ 1 (- a z)) (- t x))
5.6b	(+ x (* (- y z) (* (/ 1 (- a z)) (- t x))))
6.2b	(* (- y z) (* (/ 1 (- a z)) (- t x)))

rewrite43.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
26×	`associate-l`
25×	`add-cube-cbrt`
20×	`add-cbrt-cube`
18×	`frac-times`
16×	`flip3--` `flip--`
13×	`associate-*r/` `prod-exp`
12×	`pow1`
10×	`sub-neg`
9×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`div-exp` `associate-r` `associate-*l/` `add-log-exp`
5×	`associate-/r*`
4×	`associate-+r+` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 152

Calls

4 calls:

15.0ms	(* (- y z) (* (/ 1 (- a z)) (- t x)))
12.0ms	(* (/ 1 (- a z)) (- t x))
5.0ms	(/ 1 (- a z))
5.0ms	(+ x (* (- y z) (* (/ 1 (- a z)) (- t x))))

series144.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (- y z) (* (/ 1 (- a z)) (- t x)))
51.0ms	(+ x (* (- y z) (* (/ 1 (- a z)) (- t x))))
31.0ms	(* (/ 1 (- a z)) (- t x))
4.0ms	(/ 1 (- a z))

simplify49.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5795	1850

prune190.0ms (3.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	162	2	164
Fresh	2	6	8
Picked	0	1	1
Done	0	2	2
Total	164	11	175

Merged error: 4.0b

Counts

175 → 11

regimes615.0ms (10.9%)

Accuracy

Total 5.1b remaining (61.9%)

Threshold costs 0b (0%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	88	61
1	88	61

end0.0ms (0%)

sample801.0ms (14.2%)

Algorithm

1×

intervals

Results

255.0ms	6563×	body	80	valid
82.0ms	561×	body	640	valid
55.0ms	1223×	body	80	invalid
46.0ms	244×	body	1280	valid
40.0ms	384×	body	320	valid
20.0ms	236×	body	160	valid
3.0ms	12×	body	2560	valid

Details

analyze1.0s (18.5%)

sample29.0ms (0.5%)

simplify63.0ms (1.1%)

prune8.0ms (0.1%)

localize9.0ms (0.2%)

rewrite31.0ms (0.6%)

series101.0ms (1.8%)

simplify47.0ms (0.8%)

prune174.0ms (3.1%)

localize9.0ms (0.2%)

rewrite82.0ms (1.4%)

series124.0ms (2.2%)

simplify69.0ms (1.2%)

prune324.0ms (5.7%)

localize11.0ms (0.2%)

rewrite260.0ms (4.6%)

series128.0ms (2.3%)

simplify156.0ms (2.8%)

prune1.1s (19.9%)

localize12.0ms (0.2%)

rewrite43.0ms (0.8%)

series144.0ms (2.6%)

simplify49.0ms (0.9%)

prune190.0ms (3.4%)

regimes615.0ms (10.9%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample801.0ms (14.2%)

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