Details

analyze1.2s

Algorithm

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

Algorithm

intervals

Results

10.0ms	253×	body	80	valid
1.0ms	22×	body	80	invalid
1.0ms	3×	body	1280	valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5178	13

prune18.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 2

localize10.0ms

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)))

rewrite35.0ms

Algorithm

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:

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

series64.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
13.0ms	(/ (- x y) (- z t))
15.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4982	1408
1	4982	1408

prune141.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	117	5	122
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	117	7	124

Merged error: 0.0b

Counts

124 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (- x y) (- z t))) (cbrt (/ (- x y) (- z t))))
4.7b	(cbrt (/ (- x y) (- z t)))
4.7b	(cbrt (/ (- x y) (- z t)))
4.7b	(cbrt (/ (- x y) (- z t)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

36.0ms	(* (cbrt (/ (- x y) (- z t))) (cbrt (/ (- x y) (- z t))))
7.0ms	(cbrt (/ (- x y) (- z t)))
7.0ms	(cbrt (/ (- x y) (- z t)))
7.0ms	(cbrt (/ (- x y) (- z t)))

series206.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (cbrt (/ (- x y) (- z t))) (cbrt (/ (- x y) (- z t))))
46.0ms	(cbrt (/ (- x y) (- z t)))
50.0ms	(cbrt (/ (- x y) (- z t)))
45.0ms	(cbrt (/ (- x y) (- z t)))

simplify84.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4925	5452
1	4925	5452

prune277.0ms

Filtered

179 candidates to 288 candidates (-60.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	288	0	288
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	288	7	295

Merged error: 0.0b

Counts

295 → 7

localize13.0ms

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))
0.9b	(/ (* 60.0 (- x y)) (- z t))

rewrite27.0ms

Algorithm

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:

10.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
6.0ms	(* 60.0 (- x y))
9.0ms	(/ (* 60.0 (- x y)) (- z t))

series53.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
4.0ms	(* 60.0 (- x y))
15.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify42.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5472	730

prune92.0ms

Filtered

50 candidates to 73 candidates (-46.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	2	2	4
Picked	1	0	1
Done	1	1	2
Total	75	5	80

Merged error: 0.0b

Counts

80 → 5

localize10.0ms

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))
0.6b	(/ 60.0 (/ (- z t) (- x y)))

rewrite59.0ms

Algorithm

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:

29.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
8.0ms	(/ (- z t) (- x y))
11.0ms	(/ 60.0 (/ (- z t) (- x y)))

series86.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
12.0ms	(/ (- z t) (- x y))
41.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5143	3394

prune199.0ms

Filtered

145 candidates to 214 candidates (-47.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	214	5	219

Merged error: 0.0b

Counts

219 → 5

regimes674.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	13
1	33	13

end0.0ms

sample689.0ms

Algorithm

intervals

Results

345.0ms	7864×	body	80	valid
28.0ms	684×	body	80	invalid
11.0ms	57×	body	1280	valid
5.0ms	30×	body	640	valid
4.0ms	17×	body	2560	valid
3.0ms	22×	body	320	valid
1.0ms	10×	body	160	valid

Details

analyze1.2s

sample26.0ms

simplify92.0ms

prune18.0ms

localize10.0ms

rewrite35.0ms

series64.0ms

simplify51.0ms

prune141.0ms

localize14.0ms

rewrite75.0ms

series206.0ms

simplify84.0ms

prune277.0ms

localize13.0ms

rewrite27.0ms

series53.0ms

simplify42.0ms

prune92.0ms

localize10.0ms

rewrite59.0ms

series86.0ms

simplify45.0ms

prune199.0ms

regimes674.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample689.0ms

Profiling