Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	274×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	22	6
1	39	5
2	67	5
3	119	5
4	185	5
5	252	5
6	313	5
7	399	5
8	562	5
9	721	5
10	1148	5
11	1303	5
12	1450	5
13	1454	5
14	1454	5

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

108×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
70×	`times-frac`
50×	`add-cube-cbrt`
35×	`associate-r`
22×	`distribute-lft-out--` `difference-of-squares`
21×	`associate-l`
18×	`prod-diff`
14×	`associate-/l*`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
7×	`*-commutative` `unswap-sqr`
5×	`pow1` `associate-/r*`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `fma-udef` `div-inv`

Counts

3 → 165

Calls

3 calls:

7.0ms	(* 60.0 (- x y))
1.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
17.0ms	(/ (* 60.0 (- x y)) (- z t))

series183.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* 60.0 (- x y))
92.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
58.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify87.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	627	1342
1	2648	1166
2	5001	1164

prune399.0ms

Filtered

174 candidates to 107 candidates (61.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	171	3	174
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	171	4	175

Merged error: 0b

Counts

175 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
175×	`add-sqr-sqrt` `*-un-lft-identity`
89×	`add-cube-cbrt`
43×	`distribute-lft-out--` `difference-of-squares`
25×	`associate-/r*`
15×	`associate-/l*`
13×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
6×	`associate-/l/`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `clear-num` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`div-sub`
1×	`fma-udef`

Counts

3 → 201

Calls

3 calls:

7.0ms	(/ (- z t) 60.0)
1.0ms	(fma 120.0 a (/ (- x y) (/ (- z t) 60.0)))
16.0ms	(/ (- x y) (/ (- z t) 60.0))

series183.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ (- z t) 60.0)
90.0ms	(fma 120.0 a (/ (- x y) (/ (- z t) 60.0)))
64.0ms	(/ (- x y) (/ (- z t) 60.0))

simplify96.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	811	1758
1	2972	1694
2	5001	1692

prune548.0ms

Filtered

210 candidates to 146 candidates (69.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	209	1	210
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	210	4	214

Merged error: 0b

Counts

214 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-sqr-sqrt`
77×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
29×	`add-cube-cbrt`
24×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-*l/`
10×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
5×	`pow1`
4×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`div-sub` `pow-prod-down` `*-commutative` `fma-udef`

Counts

3 → 130

Calls

3 calls:

9.0ms	(/ (- x y) (- z t))
1.0ms	(fma 120.0 a (* (/ (- x y) (- z t)) 60.0))
17.0ms	(* (/ (- x y) (- z t)) 60.0)

series194.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (- x y) (- z t))
82.0ms	(fma 120.0 a (* (/ (- x y) (- z t)) 60.0))
60.0ms	(* (/ (- x y) (- z t)) 60.0)

simplify57.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	449	803
1	1718	749
2	5001	747

prune383.0ms

Filtered

139 candidates to 97 candidates (69.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	139	4	143

Merged error: 0b

Counts

143 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- z t) (* (cbrt 60.0) (- x y)))
0.3b	(* (cbrt 60.0) (- x y))
0.5b	(/ (* (cbrt 60.0) (cbrt 60.0)) (/ (- z t) (* (cbrt 60.0) (- x y))))
1.0b	(* (cbrt 60.0) (cbrt 60.0))

rewrite469.0ms

Algorithm

rewrite-expression-head

Rules

5202×	`times-frac`
4760×	`add-sqr-sqrt`
3384×	`*-un-lft-identity`
2160×	`cbrt-prod`
2040×	`add-cube-cbrt`
1476×	`associate-l`
1328×	`associate-r`
688×	`unswap-sqr`
672×	`distribute-lft-out--` `difference-of-squares`
588×	`swap-sqr`
246×	`*-commutative`
132×	`associate-/r*`
86×	`associate-/r/`
78×	`add-cbrt-cube`
60×	`associate-*r/`
38×	`cbrt-undiv`
37×	`associate-/l*`
34×	`add-exp-log` `cbrt-unprod`
32×	`flip3--` `flip--`
30×	`div-inv`
18×	`prod-diff`
13×	`pow1`
12×	`div-exp`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`prod-exp`
6×	`pow1/3`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
3×	`frac-2neg` `pow-prod-down` `clear-num`
2×	`sub-neg` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `div-sub`

Counts

4 → 3012

Calls

4 calls:

15.0ms	(/ (- z t) (* (cbrt 60.0) (- x y)))
14.0ms	(* (cbrt 60.0) (- x y))
84.0ms	(/ (* (cbrt 60.0) (cbrt 60.0)) (/ (- z t) (* (cbrt 60.0) (- x y))))
6.0ms	(* (cbrt 60.0) (cbrt 60.0))

series618.0ms

Counts

4 → 10

Calls

4 calls:

180.0ms	(/ (- z t) (* (cbrt 60.0) (- x y)))
61.0ms	(* (cbrt 60.0) (- x y))
377.0ms	(/ (* (cbrt 60.0) (cbrt 60.0)) (/ (- z t) (* (cbrt 60.0) (- x y))))
0.0ms	(* (cbrt 60.0) (cbrt 60.0))

simplify535.0ms

Algorithm

egg-herbie

Counts

3022 → 3022

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5001	56926

prune8.4s

Filtered

3022 candidates to 1594 candidates (52.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	3022	0	3022
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	3022	4	3026

Merged error: 0b

Counts

3026 → 4

regimes211.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample560.0ms

Algorithm

intervals

Results

283.0ms	8562×	body	80	valid
6.0ms	37×	body	1280	valid
5.0ms	25×	body	2560	valid
3.0ms	23×	body	640	valid
1.0ms	14×	body	320	valid
0.0ms	8×	body	160	valid