Details

sample25.0ms

Algorithm

intervals

Results

10.0ms	274×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

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

prune7.0ms

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))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

9.0ms	(* 60.0 (- x y))
1.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
11.0ms	(/ (* 60.0 (- x y)) (- z t))

series227.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* 60.0 (- x y))
115.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
79.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify71.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	390	631
1	1733	455
2	5002	453

prune240.0ms

Filtered

96 candidates to 58 candidates (60.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	4	97

Merged error: 0b

Counts

97 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`times-frac`
14×	`add-cube-cbrt`
7×	`distribute-lft-out`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
4×	`distribute-rgt-neg-out` `associate-/l*`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`flip3-+` `div-sub` `unsub-neg` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `flip3--` `fma-def` `frac-2neg` `div-exp` `clear-num` `sum-log` `flip--` `fma-udef` `div-inv`

Counts

3 → 76

Calls

3 calls:

4.0ms	(+ (* 60.0 x) (* 60.0 (- y)))
1.0ms	(fma 120.0 a (/ (+ (* 60.0 x) (* 60.0 (- y))) (- z t)))
9.0ms	(/ (+ (* 60.0 x) (* 60.0 (- y))) (- z t))

series230.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (* 60.0 x) (* 60.0 (- y)))
108.0ms	(fma 120.0 a (/ (+ (* 60.0 x) (* 60.0 (- y))) (- z t)))
79.0ms	(/ (+ (* 60.0 x) (* 60.0 (- y))) (- z t))

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	303	701
1	1156	617
2	5002	608

prune273.0ms

Filtered

85 candidates to 66 candidates (77.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
0.5b	(/ 60.0 (/ (- z t) (- x y)))

rewrite42.0ms

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`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`div-sub` `fma-udef`

Counts

3 → 208

Calls

3 calls:

10.0ms	(/ (- z t) (- x y))
1.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
13.0ms	(/ 60.0 (/ (- z t) (- x y)))

series492.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (- z t) (- x y))
103.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
334.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify107.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	676	1885
1	2984	1819
2	5001	1815

prune612.0ms

Filtered

217 candidates to 149 candidates (68.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	217	0	217
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	217	4	221

Merged error: 0b

Counts

221 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`times-frac`
24×	`add-cube-cbrt`
21×	`associate-r`
17×	`add-exp-log`
11×	`add-cbrt-cube`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `div-exp` `associate-l` `prod-exp` `associate-/r/` `log1p-expm1-u`
3×	`flip3-+` `flip-+` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `flip3--` `1-exp` `associate-*l/` `distribute-rgt-neg-out` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `fma-def` `frac-2neg` `associate-r/` `unsub-neg` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

4 → 121

Calls

4 calls:

6.0ms	(/ 1 (- z t))
4.0ms	(+ (* 60.0 x) (* 60.0 (- y)))
1.0ms	(fma 120.0 a (* (+ (* 60.0 x) (* 60.0 (- y))) (/ 1 (- z t))))
15.0ms	(* (+ (* 60.0 x) (* 60.0 (- y))) (/ 1 (- z t)))

series278.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ 1 (- z t))
45.0ms	(+ (* 60.0 x) (* 60.0 (- y)))
114.0ms	(fma 120.0 a (* (+ (* 60.0 x) (* 60.0 (- y))) (/ 1 (- z t))))
75.0ms	(* (+ (* 60.0 x) (* 60.0 (- y))) (/ 1 (- z t)))

simplify75.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	406	862
1	1877	719
2	5003	662

prune360.0ms

Filtered

133 candidates to 88 candidates (66.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	133	4	137

Merged error: 0b

Counts

137 → 4

regimes189.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	23	7
2	24	7
3	24	7

end0.0ms

sample604.0ms

Algorithm

intervals

Results

315.0ms	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
1.0ms	8×	body	160	valid