Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	275×	body	80	valid
0.0ms	1×	body	640	valid

simplify109.0ms

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

prune8.0ms

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: 0.4b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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:

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

series229.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
51.0ms	(* 60.0 (- x y))
75.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify63.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (53.0ms)

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

prune236.0ms

Filtered

96 candidates to 58 candidates (60.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	92	5	97

Merged error: 0b

Counts

97 → 5

localize10.0ms

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))))
0.4b	(/ 60.0 (/ (- z t) (- x y)))

rewrite38.0ms

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))))
14.0ms	(/ 60.0 (/ (- z t) (- x y)))

series489.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (- z t) (- x y))
103.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
331.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (66.0ms)

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

prune613.0ms

Filtered

217 candidates to 149 candidates (68.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	215	2	217
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	217	5	222

Merged error: 0b

Counts

222 → 5

localize10.0ms

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))

rewrite26.0ms

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:

6.0ms	(/ 60.0 (- z t))
1.0ms	(fma 120.0 a (* (/ 60.0 (- z t)) (- x y)))
14.0ms	(* (/ 60.0 (- z t)) (- x y))

series469.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ 60.0 (- z t))
107.0ms	(fma 120.0 a (* (/ 60.0 (- z t)) (- x y)))
309.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify67.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (55.0ms)

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

prune347.0ms

Filtered

128 candidates to 85 candidates (66.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	128	5	133

Merged error: 0b

Counts

133 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 120.0 a (* (/ (sqrt 60.0) 1) (* (/ (sqrt 60.0) (- z t)) (- x y))))
0.2b	(/ (sqrt 60.0) (- z t))
0.3b	(* (/ (sqrt 60.0) 1) (* (/ (sqrt 60.0) (- z t)) (- x y)))
0.3b	(* (/ (sqrt 60.0) (- z t)) (- x y))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 258

Calls

4 calls:

1.0ms	(fma 120.0 a (* (/ (sqrt 60.0) 1) (* (/ (sqrt 60.0) (- z t)) (- x y))))
12.0ms	(/ (sqrt 60.0) (- z t))
22.0ms	(* (/ (sqrt 60.0) 1) (* (/ (sqrt 60.0) (- z t)) (- x y)))
17.0ms	(* (/ (sqrt 60.0) (- z t)) (- x y))

series1.4s

Counts

4 → 12

Calls

4 calls:

299.0ms	(fma 120.0 a (* (/ (sqrt 60.0) 1) (* (/ (sqrt 60.0) (- z t)) (- x y))))
77.0ms	(/ (sqrt 60.0) (- z t))
610.0ms	(* (/ (sqrt 60.0) 1) (* (/ (sqrt 60.0) (- z t)) (- x y)))
405.0ms	(* (/ (sqrt 60.0) (- z t)) (- x y))

simplify122.0ms

Algorithm

egg-herbie

Counts

270 → 270

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1088	2937
1	4957	2082
2	5001	2082

prune629.0ms

Filtered

270 candidates to 139 candidates (51.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	270	0	270
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	270	5	275

Merged error: 0b

Counts

275 → 5

regimes255.0ms

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	12	5

end0.0ms

sample567.0ms

Algorithm

intervals

Results

285.0ms	8566×	body	80	valid
8.0ms	52×	body	1280	valid
5.0ms	39×	body	640	valid
4.0ms	19×	body	2560	valid
1.0ms	14×	body	320	valid
1.0ms	12×	body	160	valid