Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	259×	body	80	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

localize11.0ms

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))

rewrite22.0ms

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:

7.0ms	(* 60.0 (- x y))
1.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
11.0ms	(/ (* 60.0 (- x y)) (- z t))

series190.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* 60.0 (- x y))
94.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
65.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify65.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (53.0ms)

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

prune205.0ms

Filtered

96 candidates to 58 candidates (60.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	90	6	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	7	97

Merged error: 0b

Counts

97 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(fma 120.0 a (/ 1 (/ (- z t) (* 60.0 (- x y)))))
0.2b	(/ (- z t) (* 60.0 (- x y)))
0.9b	(/ 1 (/ (- z t) (* 60.0 (- x y))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
56×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
40×	`add-cube-cbrt`
32×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`prod-diff`
14×	`div-exp`
12×	`associate-r/` `associate-/r`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
6×	`div-inv`
5×	`associate-r` `prod-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`sub-neg` `frac-2neg` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `pow-prod-down` `*-commutative` `fma-udef` `inv-pow` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

8.0ms	(* 60.0 (- x y))
1.0ms	(fma 120.0 a (/ 1 (/ (- z t) (* 60.0 (- x y)))))
10.0ms	(/ (- z t) (* 60.0 (- x y)))
11.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))

series480.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* 60.0 (- x y))
97.0ms	(fma 120.0 a (/ 1 (/ (- z t) (* 60.0 (- x y)))))
62.0ms	(/ (- z t) (* 60.0 (- x y)))
288.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))

simplify88.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	586	1285
1	2762	1027
2	5002	965

prune307.0ms

Filtered

174 candidates to 92 candidates (52.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	172	2	174
Fresh	2	3	5
Picked	1	0	1
Done	1	0	1
Total	176	5	181

Merged error: 0b

Counts

181 → 5

localize13.0ms

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))))
1.0b	(/ 60.0 (/ (- z t) (- x y)))

rewrite34.0ms

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:

9.0ms	(/ (- z t) (- x y))
1.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
12.0ms	(/ 60.0 (/ (- z t) (- x y)))

series436.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (- z t) (- x y))
96.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
285.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify95.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (71.0ms)

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

prune518.0ms

Filtered

217 candidates to 149 candidates (68.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	216	1	217
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	217	5	222

Merged error: 0b

Counts

222 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 119

Calls

3 calls:

5.0ms	(/ 60.0 (- z t))
1.0ms	(fma 120.0 a (* (/ 60.0 (- z t)) (- x y)))
13.0ms	(* (/ 60.0 (- z t)) (- x y))

series421.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ 60.0 (- z t))
95.0ms	(fma 120.0 a (* (/ 60.0 (- z t)) (- x y)))
284.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify68.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	514	923
1	2059	746
2	5002	738

prune266.0ms

Filtered

128 candidates to 85 candidates (66.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	128	5	133

Merged error: 0b

Counts

133 → 5

regimes242.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample567.0ms

Algorithm

intervals

Results

293.0ms	8490×	body	80	valid
9.0ms	60×	body	1280	valid
5.0ms	43×	body	640	valid
5.0ms	24×	body	2560	valid
2.0ms	18×	body	320	valid
1.0ms	11×	body	160	valid
0.0ms	1×	body	5120	valid