Details

analyze1.1s (23.6%)

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
0%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

sample26.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	252×	body	80	valid
1.0ms	23×	body	80	invalid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify95.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	5178	13

prune17.0ms (0.4%)

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: 0.1b

Counts

2 → 2

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- z t))
0.0b	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
0.3b	(* 60.0 (/ (- x y) (- z t)))

rewrite35.0ms (0.8%)

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:

13.0ms	(* 60.0 (/ (- x y) (- z t)))
10.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
7.0ms	(/ (- x y) (- z t))

series61.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
15.0ms	(* 60.0 (/ (- x y) (- z t)))
12.0ms	(/ (- x y) (- z t))

simplify53.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4982	1408
1	4982	1408

prune189.0ms (4.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	116	8	124

Merged error: 0.0b

Counts

124 → 8

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.0b	(+ (* 60.0 (* (- x y) (/ 1 (- z t)))) (* a 120.0))
0.3b	(* (- x y) (/ 1 (- z t)))
0.3b	(* 60.0 (* (- x y) (/ 1 (- z t))))

rewrite47.0ms (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	(+ (* 60.0 (* (- x y) (/ 1 (- z t)))) (* a 120.0))
12.0ms	(* (- x y) (/ 1 (- z t)))
12.0ms	(* 60.0 (* (- x y) (/ 1 (- z t))))
5.0ms	(/ 1 (- z t))

series68.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* 60.0 (* (- x y) (/ 1 (- z t)))) (* a 120.0))
17.0ms	(* (- x y) (/ 1 (- z t)))
15.0ms	(* 60.0 (* (- x y) (/ 1 (- z t))))
4.0ms	(/ 1 (- z t))

simplify46.0ms (1%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5153	1327

prune213.0ms (4.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	142	8	150

Merged error: 0.0b

Counts

150 → 8

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(+ (* 60.0 (/ 1 (/ (- z t) (- x y)))) (* a 120.0))
0.3b	(* 60.0 (/ 1 (/ (- z t) (- x y))))
0.7b	(/ 1 (/ (- z t) (- x y)))

rewrite88.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

32.0ms	(* 60.0 (/ 1 (/ (- z t) (- x y))))
17.0ms	(+ (* 60.0 (/ 1 (/ (- z t) (- x y)))) (* a 120.0))
12.0ms	(/ 1 (/ (- z t) (- x y)))
7.0ms	(/ (- z t) (- x y))

series118.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(* 60.0 (/ 1 (/ (- z t) (- x y))))
35.0ms	(/ 1 (/ (- z t) (- x y)))
34.0ms	(+ (* 60.0 (/ 1 (/ (- z t) (- x y)))) (* a 120.0))
12.0ms	(/ (- z t) (- x y))

simplify77.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4966	4617
1	4966	4617

prune522.0ms (11.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	348	2	350
Fresh	2	3	5
Picked	1	0	1
Done	1	1	2
Total	352	6	358

Merged error: 0.0b

Counts

358 → 6

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
0.8b	(/ 60.0 (/ (- z t) (- x y)))

rewrite57.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
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-+`

Counts

3 → 205

Calls

3 calls:

27.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
12.0ms	(/ 60.0 (/ (- z t) (- x y)))
8.0ms	(/ (- z t) (- x y))

series89.0ms (2%)

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ 60.0 (/ (- z t) (- x y)))
32.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
14.0ms	(/ (- z t) (- x y))

simplify50.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5143	3394

prune290.0ms (6.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	214	6	220

Merged error: 0.0b

Counts

220 → 6

regimes609.0ms (13.4%)

Accuracy

Total 0.1b remaining (83.5%)

Threshold costs 0.1b (83.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	13
1	34	13

end0.0ms (0%)

sample672.0ms (14.8%)

Algorithm

1×

intervals

Results

333.0ms	7869×	body	80	valid
30.0ms	675×	body	80	invalid
8.0ms	23×	body	2560	valid
8.0ms	41×	body	1280	valid
4.0ms	29×	body	640	valid
2.0ms	21×	body	320	valid
1.0ms	16×	body	160	valid
0.0ms	1×	body	5120	valid

Details

analyze1.1s (23.6%)

sample26.0ms (0.6%)

simplify95.0ms (2.1%)

prune17.0ms (0.4%)

localize10.0ms (0.2%)

rewrite35.0ms (0.8%)

series61.0ms (1.3%)

simplify53.0ms (1.2%)

prune189.0ms (4.2%)

localize13.0ms (0.3%)

rewrite47.0ms (1%)

series68.0ms (1.5%)

simplify46.0ms (1%)

prune213.0ms (4.7%)

localize11.0ms (0.2%)

rewrite88.0ms (1.9%)

series118.0ms (2.6%)

simplify77.0ms (1.7%)

prune522.0ms (11.5%)

localize13.0ms (0.3%)

rewrite57.0ms (1.3%)

series89.0ms (2%)

simplify50.0ms (1.1%)

prune290.0ms (6.4%)

regimes609.0ms (13.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample672.0ms (14.8%)

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