Details

analyze1.0s (24.5%)

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
3.5%	96.2%	0.2%	10
9.8%	89.9%	0.2%	11
14.1%	85.7%	0.2%	12
22.6%	77.1%	0.2%	13
23.7%	76%	0.2%	14

sample27.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	212×	body	80	valid
2.0ms	16×	body	640	valid
2.0ms	11×	body	1280	valid
1.0ms	11×	body	160	valid
1.0ms	20×	body	80	invalid
1.0ms	5×	body	320	valid
0.0ms	1×	body	2560	valid

simplify106.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4893	13
1	4893	13

prune8.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 15.2b

Counts

2 → 1

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
2.4b	(- (+ x y) (/ (* (- z t) y) (- a t)))
10.3b	(/ (* (- z t) y) (- a t))

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

10.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
8.0ms	(/ (* (- z t) y) (- a t))
6.0ms	(* (- z t) y)

series59.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

37.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
16.0ms	(/ (* (- z t) y) (- a t))
6.0ms	(* (- z t) y)

simplify38.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4992	863
1	4992	863

prune151.0ms (3.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	67	11	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	11	79

Merged error: 5.0b

Counts

79 → 11

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
4.4b	(- (+ x y) (/ (- z t) (/ (- a t) y)))
13.1b	(/ (- z t) (/ (- a t) y))

rewrite62.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

203×	`times-frac`
180×	`add-sqr-sqrt`
176×	`*-un-lft-identity`
87×	`add-cube-cbrt`
45×	`difference-of-squares`
44×	`distribute-lft-out--`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `flip3--` `div-sub` `flip--`
2×	`frac-2neg` `diff-log` `clear-num` `frac-sub`
1×	`sub-neg` `flip3-+` `associate--l+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out` `associate--r-`

Counts

3 → 196

Calls

3 calls:

33.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
11.0ms	(/ (- z t) (/ (- a t) y))
5.0ms	(/ (- a t) y)

series62.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

34.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
22.0ms	(/ (- z t) (/ (- a t) y))
6.0ms	(/ (- a t) y)

simplify58.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5295	3307

prune266.0ms (6.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	199	6	205
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	204	12	216

Merged error: 4.0b

Counts

216 → 12

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+ x (- y (/ (- z t) (/ (- a t) y))))
0.0b	(/ (- a t) y)
6.2b	(- y (/ (- z t) (/ (- a t) y)))
13.1b	(/ (- z t) (/ (- a t) y))

rewrite92.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

203×	`times-frac`
181×	`add-sqr-sqrt`
180×	`*-un-lft-identity`
88×	`add-cube-cbrt`
45×	`difference-of-squares`
44×	`distribute-lft-out--`
22×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`associate-/l*`
8×	`div-inv`
4×	`pow1` `cbrt-undiv` `div-sub` `div-exp` `associate-/l/`
3×	`flip3--` `flip--`
2×	`sub-neg` `associate-+r+` `frac-2neg` `diff-log` `clear-num` `sum-log` `associate-/r/` `distribute-lft-out` `associate--r-`
1×	`+-commutative` `associate-+r-` `distribute-rgt-out--` `flip3-+` `flip-+`

Counts

4 → 209

Calls

4 calls:

32.0ms	(+ x (- y (/ (- z t) (/ (- a t) y))))
30.0ms	(- y (/ (- z t) (/ (- a t) y)))
11.0ms	(/ (- z t) (/ (- a t) y))
5.0ms	(/ (- a t) y)

series89.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ x (- y (/ (- z t) (/ (- a t) y))))
23.0ms	(- y (/ (- z t) (/ (- a t) y)))
22.0ms	(/ (- z t) (/ (- a t) y))
6.0ms	(/ (- a t) y)

simplify58.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4984	3438
1	4984	3438

prune262.0ms (6.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	220	1	221
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	222	11	233

Merged error: 4.0b

Counts

233 → 11

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (- 1 (/ (- z t) (- a t)))))
0.0b	(/ (- z t) (- a t))
1.3b	(* y (- 1 (/ (- z t) (- a t))))
3.3b	(- 1 (/ (- z t) (- a t)))

rewrite46.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
29×	`times-frac`
20×	`difference-of-squares`
18×	`add-cube-cbrt`
14×	`distribute-lft-out--`
8×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
6×	`pow1` `div-sub`
5×	`sub-neg` `associate-/r` `associate-/l` `associate--r-`
4×	`distribute-rgt-in` `associate-+r+` `flip3--` `distribute-lft-in` `flip--`
3×	`associate-l`
2×	`associate-*r/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

18.0ms	(* y (- 1 (/ (- z t) (- a t))))
14.0ms	(- 1 (/ (- z t) (- a t)))
8.0ms	(/ (- z t) (- a t))
3.0ms	(+ x (* y (- 1 (/ (- z t) (- a t)))))

series88.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ x (* y (- 1 (/ (- z t) (- a t)))))
29.0ms	(* y (- 1 (/ (- z t) (- a t))))
16.0ms	(- 1 (/ (- z t) (- a t)))
9.0ms	(/ (- z t) (- a t))

simplify55.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5619	1549

prune148.0ms (3.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	123	13	136

Merged error: 4.0b

Counts

136 → 13

regimes592.0ms (14.2%)

Accuracy

Total 3.8b remaining (54%)

Threshold costs 0b (0%)

bsearch43.0ms (1%)

Steps

Iters	Range		Point
7	6.906175762085466e-264	1.8950498490859043e-262	3.484466297480128e-263
9	-7.607051486029147e-86	-9.763940209263246e-94	-1.0008921998682885e-93

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	173	29
1	173	29

end0.0ms (0%)

sample764.0ms (18.3%)

Algorithm

1×

intervals

Results

262.0ms	6668×	body	80	valid
77.0ms	463×	body	640	valid
50.0ms	265×	body	1280	valid
41.0ms	343×	body	320	valid
29.0ms	754×	body	80	invalid
18.0ms	248×	body	160	valid
3.0ms	13×	body	2560	valid

Details

analyze1.0s (24.5%)

sample27.0ms (0.7%)

simplify106.0ms (2.5%)

prune8.0ms (0.2%)

localize14.0ms (0.3%)

rewrite26.0ms (0.6%)

series59.0ms (1.4%)

simplify38.0ms (0.9%)

prune151.0ms (3.6%)

localize11.0ms (0.3%)

rewrite62.0ms (1.5%)

series62.0ms (1.5%)

simplify58.0ms (1.4%)

prune266.0ms (6.4%)

localize10.0ms (0.2%)

rewrite92.0ms (2.2%)

series89.0ms (2.1%)

simplify58.0ms (1.4%)

prune262.0ms (6.3%)

localize10.0ms (0.2%)

rewrite46.0ms (1.1%)

series88.0ms (2.1%)

simplify55.0ms (1.3%)

prune148.0ms (3.5%)

regimes592.0ms (14.2%)

bsearch43.0ms (1%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample764.0ms (18.3%)

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