Details

analyze1.1s (25.1%)

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
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

sample25.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	254×	body	80	valid
1.0ms	19×	body	80	invalid
0.0ms	2×	body	1280	valid

simplify114.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	5178	13

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: 0.1b

Counts

2 → 1

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-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` `associate-/l` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

11.0ms	(* 60.0 (- x y))
10.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
8.0ms	(/ (* 60.0 (- x y)) (- z t))

series53.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
15.0ms	(/ (* 60.0 (- x y)) (- z t))
4.0ms	(* 60.0 (- x y))

simplify41.0ms (1%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5472	730

prune131.0ms (3.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	67	6	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	7	74

Merged error: 0.0b

Counts

74 → 7

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite61.0ms (1.4%)

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:

30.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
11.0ms	(/ 60.0 (/ (- z t) (- x y)))
7.0ms	(/ (- z t) (- x y))

series85.0ms (2%)

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ 60.0 (/ (- z t) (- x y)))
32.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
16.0ms	(/ (- z t) (- x y))

simplify43.0ms (1%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5143	3394

prune294.0ms (6.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	212	2	214
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	215	6	221

Merged error: 0.0b

Counts

221 → 6

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
0.0b	(/ 60.0 (- z t))
0.2b	(* (/ 60.0 (- z t)) (- x y))

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 98

Calls

3 calls:

12.0ms	(* (/ 60.0 (- z t)) (- x y))
10.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
5.0ms	(/ 60.0 (- z t))

series76.0ms (1.8%)

Counts

3 → 9

Calls

3 calls:

39.0ms	(* (/ 60.0 (- z t)) (- x y))
32.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
5.0ms	(/ 60.0 (- z t))

simplify42.0ms (1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5130	1149

prune160.0ms (3.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	107	6	113

Merged error: 0.0b

Counts

113 → 6

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite38.0ms (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:

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 (1.4%)

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
15.0ms	(* 60.0 (/ (- x y) (- z t)))
13.0ms	(/ (- x y) (- z t))

simplify57.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4982	1408
1	4982	1408

prune139.0ms (3.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	122	6	128

Merged error: 0.0b

Counts

128 → 6

regimes984.0ms (23.2%)

Accuracy

Total 0.1b remaining (82.9%)

Threshold costs 0.1b (82.9%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	13
1	34	13

end0.0ms (0%)

sample659.0ms (15.6%)

Algorithm

1×

intervals

Results

325.0ms	7860×	body	80	valid
26.0ms	660×	body	80	invalid
10.0ms	56×	body	1280	valid
9.0ms	40×	body	640	valid
4.0ms	18×	body	2560	valid
2.0ms	20×	body	320	valid
0.0ms	6×	body	160	valid

Details

analyze1.1s (25.1%)

sample25.0ms (0.6%)

simplify114.0ms (2.7%)

prune8.0ms (0.2%)

localize9.0ms (0.2%)

rewrite32.0ms (0.8%)

series53.0ms (1.2%)

simplify41.0ms (1%)

prune131.0ms (3.1%)

localize10.0ms (0.2%)

rewrite61.0ms (1.4%)

series85.0ms (2%)

simplify43.0ms (1%)

prune294.0ms (6.9%)

localize9.0ms (0.2%)

rewrite30.0ms (0.7%)

series76.0ms (1.8%)

simplify42.0ms (1%)

prune160.0ms (3.8%)

localize10.0ms (0.2%)

rewrite38.0ms (0.9%)

series61.0ms (1.4%)

simplify57.0ms (1.3%)

prune139.0ms (3.3%)

regimes984.0ms (23.2%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample659.0ms (15.6%)

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