Details

analyze1.0s

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

sample29.0ms

Algorithm

intervals

Results

10.0ms	251×	body	80	valid
1.0ms	24×	body	80	invalid
1.0ms	5×	body	1280	valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5178	13

prune12.0ms

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: 0.1b

Counts

2 → 2

localize9.0ms

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)))

rewrite36.0ms

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:

11.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
7.0ms	(/ (- x y) (- z t))
13.0ms	(* 60.0 (/ (- x y) (- z t)))

series63.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
12.0ms	(/ (- x y) (- z t))
17.0ms	(* 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

prune133.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	118	6	124

Merged error: 0.0b

Counts

124 → 6

localize10.0ms

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)))

rewrite87.0ms

Algorithm

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:

8.0ms	(/ (- z t) (- x y))
16.0ms	(+ (* 60.0 (/ 1 (/ (- z t) (- x y)))) (* a 120.0))
31.0ms	(* 60.0 (/ 1 (/ (- z t) (- x y))))
12.0ms	(/ 1 (/ (- z t) (- x y)))

series117.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify72.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4966	4617
1	4966	4617

prune297.0ms

Filtered

204 candidates to 350 candidates (-71.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	350	0	350
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	350	6	356

Merged error: 0.0b

Counts

356 → 6

localize9.0ms

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))
0.5b	(/ (* 60.0 (- x y)) (- z t))

rewrite30.0ms

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))
11.0ms	(/ (* 60.0 (- x y)) (- z t))

series53.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify38.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5472	730

prune81.0ms

Filtered

50 candidates to 73 candidates (-46.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	73	6	79

Merged error: 0.0b

Counts

79 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 60.0 (/ (- x y) (- z t)))
0.3b	(* (/ (- x y) (- z t)) (/ (- x y) (- z t)))
1.3b	(- (* 60.0 (* 60.0 (* (/ (- x y) (- z t)) (/ (- x y) (- z t))))) (* a (* a (* 120.0 120.0))))
24.6b	(/ (- (* 60.0 (* 60.0 (* (/ (- x y) (- z t)) (/ (- x y) (- z t))))) (* a (* a (* 120.0 120.0)))) (- (* 60.0 (/ (- x y) (- z t))) (* a 120.0)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

276×	`*-un-lft-identity`
209×	`add-sqr-sqrt`
187×	`times-frac`
86×	`distribute-lft-out--`
76×	`add-cube-cbrt`
62×	`associate-r`
58×	`difference-of-squares`
55×	`swap-sqr`
34×	`associate-l`
23×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
12×	`associate-/r/`
8×	`flip3--` `flip--`
6×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `associate-/l`
2×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`
1×	`pow2` `frac-times` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `div-sub` `associate-*l/` `clear-num` `pow-sqr` `pow-prod-up`

Counts

4 → 238

Calls

4 calls:

13.0ms	(* 60.0 (/ (- x y) (- z t)))
30.0ms	(* (/ (- x y) (- z t)) (/ (- x y) (- z t)))
23.0ms	(- (* 60.0 (* 60.0 (* (/ (- x y) (- z t)) (/ (- x y) (- z t))))) (* a (* a (* 120.0 120.0))))
35.0ms	(/ (- (* 60.0 (* 60.0 (* (/ (- x y) (- z t)) (/ (- x y) (- z t))))) (* a (* a (* 120.0 120.0)))) (- (* 60.0 (/ (- x y) (- z t))) (* a 120.0)))

series783.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* 60.0 (/ (- x y) (- z t)))
27.0ms	(* (/ (- x y) (- z t)) (/ (- x y) (- z t)))
138.0ms	(- (* 60.0 (* 60.0 (* (/ (- x y) (- z t)) (/ (- x y) (- z t))))) (* a (* a (* 120.0 120.0))))
602.0ms	(/ (- (* 60.0 (* 60.0 (* (/ (- x y) (- z t)) (/ (- x y) (- z t))))) (* a (* a (* 120.0 120.0)))) (- (* 60.0 (/ (- x y) (- z t))) (* a 120.0)))

simplify89.0ms

Algorithm

egg-herbie

Counts

250 → 250

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4987	4781
1	4987	4781

prune312.0ms

Filtered

150 candidates to 250 candidates (-66.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	248	2	250
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	248	8	256

Merged error: 0.0b

Counts

256 → 8

regimes1.0s

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	34	13
1	34	13

end0.0ms

sample679.0ms

Algorithm

intervals

Results

344.0ms	7860×	body	80	valid
27.0ms	666×	body	80	invalid
10.0ms	52×	body	1280	valid
6.0ms	23×	body	2560	valid
5.0ms	36×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	15×	body	160	valid

Details

analyze1.0s

sample29.0ms

simplify93.0ms

prune12.0ms

localize9.0ms

rewrite36.0ms

series63.0ms

simplify51.0ms

prune133.0ms

localize10.0ms

rewrite87.0ms

series117.0ms

simplify72.0ms

prune297.0ms

localize9.0ms

rewrite30.0ms

series53.0ms

simplify38.0ms

prune81.0ms

localize18.0ms

rewrite117.0ms

series783.0ms

simplify89.0ms

prune312.0ms

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample679.0ms

Profiling