Details

analyze916.0ms (27.8%)

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
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
18.4%	81.3%	0.2%	13
29.5%	70.3%	0.2%	14

sample22.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	16×	body	80	invalid

simplify147.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (145.0ms)

Iter	Nodes	Cost
0	4786	11
1	4786	11

prune7.0ms (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: 10.4b

Counts

2 → 1

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
10.7b	(/ (* (- y z) t) (- a z))

rewrite27.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

10.0ms	(* (- y z) t)
8.0ms	(/ (* (- y z) t) (- a z))
7.0ms	(+ x (/ (* (- y z) t) (- a z)))

series46.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (/ (* (- y z) t) (- a z)))
15.0ms	(/ (* (- y z) t) (- a z))
6.0ms	(* (- y z) t)

simplify38.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5590	683

prune105.0ms (3.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y z) (/ t (- a z))))
0.0b	(/ t (- a z))
12.7b	(* (- y z) (/ t (- a z)))

rewrite25.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

12.0ms	(* (- y z) (/ t (- a z)))
5.0ms	(/ t (- a z))
3.0ms	(+ x (* (- y z) (/ t (- a z))))

series48.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (* (- y z) (/ t (- a z))))
16.0ms	(* (- y z) (/ t (- a z)))
7.0ms	(/ t (- a z))

simplify67.0ms (2%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4978	1059
1	4978	1059

prune121.0ms (3.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	102	6	108

Merged error: 0b

Counts

108 → 6

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (- y z) (* t (/ 1 (- a z)))))
0.0b	(/ 1 (- a z))
0.2b	(* t (/ 1 (- a z)))
12.7b	(* (- y z) (* t (/ 1 (- a z))))

rewrite35.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-l` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`associate-*r/` `div-exp` `add-log-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`frac-times` `pow-prod-down` `associate-/r/` `un-div-inv`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 128

Calls

4 calls:

12.0ms	(* (- y z) (* t (/ 1 (- a z))))
10.0ms	(* t (/ 1 (- a z)))
5.0ms	(/ 1 (- a z))
4.0ms	(+ x (* (- y z) (* t (/ 1 (- a z)))))

series55.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ x (* (- y z) (* t (/ 1 (- a z)))))
15.0ms	(* (- y z) (* t (/ 1 (- a z))))
7.0ms	(* t (/ 1 (- a z)))
4.0ms	(/ 1 (- a z))

simplify54.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5949	1199

prune170.0ms (5.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	140	6	146

Merged error: 0b

Counts

146 → 6

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- y z) (/ (- a z) t)))
0.0b	(/ (- a z) t)
13.3b	(/ (- y z) (/ (- a z) t))

rewrite51.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

200×	`times-frac`
173×	`*-un-lft-identity`
171×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

3 → 188

Calls

3 calls:

25.0ms	(+ x (/ (- y z) (/ (- a z) t)))
10.0ms	(/ (- y z) (/ (- a z) t))
5.0ms	(/ (- a z) t)

series53.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (/ (- y z) (/ (- a z) t)))
21.0ms	(/ (- y z) (/ (- a z) t))
6.0ms	(/ (- a z) t)

simplify58.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5575	3054

prune187.0ms (5.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	1	1	2
Picked	1	0	1
Done	1	2	3
Total	199	4	203

Merged error: 0b

Counts

203 → 4

regimes432.0ms (13.1%)

Accuracy

Total 1.4b remaining (98.8%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

end0.0ms (0%)

sample588.0ms (17.9%)

Algorithm

1×

intervals

Results

290.0ms	7997×	body	80	valid
32.0ms	719×	body	80	invalid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

analyze916.0ms (27.8%)

sample22.0ms (0.7%)

simplify147.0ms (4.5%)

prune7.0ms (0.2%)

localize8.0ms (0.2%)

rewrite27.0ms (0.8%)

series46.0ms (1.4%)

simplify38.0ms (1.2%)

prune105.0ms (3.2%)

localize8.0ms (0.2%)

rewrite25.0ms (0.8%)

series48.0ms (1.5%)

simplify67.0ms (2%)

prune121.0ms (3.7%)

localize12.0ms (0.4%)

rewrite35.0ms (1.1%)

series55.0ms (1.7%)

simplify54.0ms (1.6%)

prune170.0ms (5.2%)

localize8.0ms (0.3%)

rewrite51.0ms (1.6%)

series53.0ms (1.6%)

simplify58.0ms (1.8%)

prune187.0ms (5.7%)

regimes432.0ms (13.1%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample588.0ms (17.9%)

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