Details

analyze1.2s (27.1%)

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
14.9%	84.9%	0.2%	13
16.2%	83.5%	0.3%	14

sample35.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	227×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	36×	body	80	invalid
1.0ms	9×	body	640	valid
1.0ms	5×	body	320	valid
0.0ms	6×	body	160	valid
0.0ms	1×	body	2560	valid

simplify71.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4912	13
1	4912	13

prune9.0ms (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: 16.2b

Counts

2 → 1

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
1.5b	(+ x (/ (* (- y x) (- z t)) (- a t)))
12.3b	(/ (* (- y x) (- z t)) (- a t))

rewrite32.0ms (0.7%)

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:

13.0ms	(/ (* (- y x) (- z t)) (- a t))
9.0ms	(* (- y x) (- z t))
8.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))

series101.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
37.0ms	(/ (* (- y x) (- z t)) (- a t))
12.0ms	(* (- y x) (- z t))

simplify42.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	6015	1085

prune166.0ms (3.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	77	11	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	11	89

Merged error: 3.1b

Counts

89 → 11

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.5b	(+ x (* (- y x) (/ (- z t) (- a t))))
3.2b	(* (- y x) (/ (- z t) (- a t)))

rewrite33.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 119

Calls

3 calls:

17.0ms	(* (- y x) (/ (- z t) (- a t)))
7.0ms	(/ (- z t) (- a t))
4.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series96.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
35.0ms	(* (- y x) (/ (- z t) (- a t)))
9.0ms	(/ (- z t) (- a t))

simplify42.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5068	1606

prune194.0ms (4.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	121	7	128
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	126	13	139

Merged error: 3.1b

Counts

139 → 13

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.5b	(+ x (/ (- y x) (/ (- a t) (- z t))))
3.2b	(/ (- y x) (/ (- a t) (- z t)))

rewrite82.0ms (1.8%)

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 x) (/ (- a t) (- z t))))
15.0ms	(/ (- y x) (/ (- a t) (- z t)))
7.0ms	(/ (- a t) (- z t))

series107.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
47.0ms	(/ (- y x) (/ (- a t) (- z t)))
9.0ms	(/ (- a t) (- z t))

simplify72.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5092	5477

prune346.0ms (7.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	276	7	283
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	282	14	296

Merged error: 3.1b

Counts

296 → 14

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.2b	(* (- a t) (/ 1 (- z t)))
2.3b	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))
3.2b	(/ (- y x) (* (- a t) (/ 1 (- z t))))

rewrite45.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
37×	`times-frac`
32×	`add-exp-log`
26×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube`
11×	`div-exp`
10×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
8×	`prod-exp` `associate-/l*`
7×	`pow1` `flip3--` `flip--`
6×	`cbrt-undiv` `associate-/r*` `add-log-exp`
5×	`associate-l`
4×	`frac-times` `associate-*l/` `cbrt-unprod`
3×	`rec-exp` `1-exp` `div-inv` `unswap-sqr`
2×	`frac-2neg` `div-sub` `associate-*r/` `clear-num` `un-div-inv` `associate-/l/`
1×	`+-commutative` `associate-+r-` `pow-flip` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 142

Calls

4 calls:

13.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
13.0ms	(* (- a t) (/ 1 (- z t)))
9.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))
5.0ms	(/ 1 (- z t))

series110.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))
45.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
11.0ms	(* (- a t) (/ 1 (- z t)))
4.0ms	(/ 1 (- z t))

simplify29.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5082	1583

prune175.0ms (3.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	154	14	168

Merged error: 3.1b

Counts

168 → 14

regimes578.0ms (12.7%)

Accuracy

Total 6.1b remaining (59.4%)

Threshold costs 0b (0%)

bsearch58.0ms (1.3%)

Steps

Iters	Range		Point
9	3.196307996571879e-250	2.175226792895437e-244	9.208735455584218e-245
9	-3.220688930829518e-203	-1.7527154182543075e-212	-1.5436284696018093e-203

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	92	71
1	92	71

end0.0ms (0%)

sample863.0ms (18.9%)

Algorithm

1×

intervals

Results

286.0ms	6545×	body	80	valid
78.0ms	522×	body	640	valid
52.0ms	1228×	body	80	invalid
51.0ms	261×	body	1280	valid
47.0ms	377×	body	320	valid
25.0ms	273×	body	160	valid
5.0ms	22×	body	2560	valid

Details

analyze1.2s (27.1%)

sample35.0ms (0.8%)

simplify71.0ms (1.6%)

prune9.0ms (0.2%)

localize10.0ms (0.2%)

rewrite32.0ms (0.7%)

series101.0ms (2.2%)

simplify42.0ms (0.9%)

prune166.0ms (3.6%)

localize9.0ms (0.2%)

rewrite33.0ms (0.7%)

series96.0ms (2.1%)

simplify42.0ms (0.9%)

prune194.0ms (4.2%)

localize9.0ms (0.2%)

rewrite82.0ms (1.8%)

series107.0ms (2.3%)

simplify72.0ms (1.6%)

prune346.0ms (7.6%)

localize11.0ms (0.2%)

rewrite45.0ms (1%)

series110.0ms (2.4%)

simplify29.0ms (0.6%)

prune175.0ms (3.8%)

regimes578.0ms (12.7%)

bsearch58.0ms (1.3%)

simplify2.0ms (0%)

end0.0ms (0%)

sample863.0ms (18.9%)

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