Details

analyze932.0ms (24.7%)

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
24.9%	74.9%	0.2%	13
26.2%	73.5%	0.2%	14

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	24×	body	80	invalid

simplify232.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (230.0ms)

Iter	Nodes	Cost
0	5590	11

prune8.0ms (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: 0.3b

Counts

2 → 1

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.2b	(* y (/ (- z t) (- a t)))

rewrite33.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `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 → 113

Calls

3 calls:

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

series53.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ x (* y (/ (- z t) (- a t))))
16.0ms	(* y (/ (- z t) (- a t)))
9.0ms	(/ (- z t) (- a t))

simplify44.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4984	1366
1	4984	1366

prune166.0ms (4.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	117	5	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	117	6	123

Merged error: 0b

Counts

123 → 6

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- a t)))))
0.0b	(/ 1 (- a t))
0.3b	(* (- z t) (/ 1 (- a t)))
1.2b	(* y (* (- z t) (/ 1 (- a t))))

rewrite40.0ms (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-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 130

Calls

4 calls:

13.0ms	(* (- z t) (/ 1 (- a t)))
13.0ms	(* y (* (- z t) (/ 1 (- a t))))
5.0ms	(/ 1 (- a t))
4.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))

series60.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
16.0ms	(* y (* (- z t) (/ 1 (- a t))))
12.0ms	(* (- z t) (/ 1 (- a t)))
4.0ms	(/ 1 (- a t))

simplify43.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5210	1285

prune178.0ms (4.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	142	6	148

Merged error: 0b

Counts

148 → 6

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
10.4b	(/ (* y (- z t)) (- a t))

rewrite25.0ms (0.7%)

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-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
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 → 65

Calls

3 calls:

9.0ms	(/ (* y (- z t)) (- a t))
8.0ms	(* y (- z t))
7.0ms	(+ x (/ (* y (- z t)) (- a t)))

series50.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (/ (* y (- z t)) (- a t)))
17.0ms	(/ (* y (- z t)) (- a t))
7.0ms	(* y (- z t))

simplify41.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5392	699

prune293.0ms (7.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	74	6	80

Merged error: 0b

Counts

80 → 6

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
1.2b	(/ y (/ (- a t) (- z t)))

rewrite60.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

30.0ms	(+ x (/ y (/ (- a t) (- z t))))
12.0ms	(/ y (/ (- a t) (- z t)))
7.0ms	(/ (- a t) (- z t))

series73.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ x (/ y (/ (- a t) (- z t))))
26.0ms	(/ y (/ (- a t) (- z t)))
10.0ms	(/ (- a t) (- z t))

simplify59.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5287	3369

prune209.0ms (5.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	1	1	2
Picked	1	0	1
Done	1	2	3
Total	217	4	221

Merged error: 0b

Counts

221 → 4

regimes512.0ms (13.6%)

Accuracy

Total 1.2b 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%)

sample599.0ms (15.9%)

Algorithm

1×

intervals

Results

299.0ms	8000×	body	80	valid
26.0ms	731×	body	80	invalid

Details

analyze932.0ms (24.7%)

sample24.0ms (0.6%)

simplify232.0ms (6.2%)

prune8.0ms (0.2%)

localize8.0ms (0.2%)

rewrite33.0ms (0.9%)

series53.0ms (1.4%)

simplify44.0ms (1.2%)

prune166.0ms (4.4%)

localize10.0ms (0.3%)

rewrite40.0ms (1.1%)

series60.0ms (1.6%)

simplify43.0ms (1.1%)

prune178.0ms (4.7%)

localize8.0ms (0.2%)

rewrite25.0ms (0.7%)

series50.0ms (1.3%)

simplify41.0ms (1.1%)

prune293.0ms (7.8%)

localize8.0ms (0.2%)

rewrite60.0ms (1.6%)

series73.0ms (1.9%)

simplify59.0ms (1.6%)

prune209.0ms (5.5%)

regimes512.0ms (13.6%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample599.0ms (15.9%)

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