Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

261×

body

valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	67	6
2	145	6
3	241	6
4	301	6
5	355	6
6	396	6
7	444	6
8	529	6
9	744	6
10	2218	6
11	5001	6

prune2.0ms

Filtered

1 candidates to 0 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: 17.2b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
16.9b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`add-cube-cbrt` `swap-sqr` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-r` `associate-l` `associate-l/`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 74

Calls

2 calls:

8.0ms	(* (+ t1 u) (+ t1 u))
12.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(* (+ t1 u) (+ t1 u))
78.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify61.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	390	509
1	2114	426
2	5002	422

prune128.0ms

Filtered

80 candidates to 45 candidates (56.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	73	7	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	7	81

Merged error: 0.0b

Counts

81 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
1.5b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
108×	`times-frac`
81×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
46×	`associate-l`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
13×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `distribute-frac-neg` `clear-num`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 198

Calls

3 calls:

7.0ms	(/ (- t1) (+ t1 u))
5.0ms	(/ v (+ t1 u))
30.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series189.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (- t1) (+ t1 u))
24.0ms	(/ v (+ t1 u))
124.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify70.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	602	1313
1	2728	1228
2	5002	1224

prune330.0ms

Filtered

207 candidates to 140 candidates (67.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	203	4	207
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	207	7	214

Merged error: 0b

Counts

214 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.3b	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
8.5b	(* (- t1) (/ v (+ t1 u)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
29×	`times-frac`
25×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
10×	`associate-l`
9×	`distribute-lft-out`
8×	`associate-/r*`
6×	`cbrt-undiv` `div-exp` `associate-/r/`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-neg-in` `flip3-+` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`distribute-lft-neg-out` `frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`neg-mul-1` `distribute-frac-neg` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 113

Calls

3 calls:

5.0ms	(/ v (+ t1 u))
11.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
12.0ms	(* (- t1) (/ v (+ t1 u)))

series151.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ v (+ t1 u))
74.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
52.0ms	(* (- t1) (/ v (+ t1 u)))

simplify52.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	392	679
1	2087	600
2	5002	600

prune183.0ms

Filtered

122 candidates to 85 candidates (69.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	122	7	129

Merged error: 0b

Counts

129 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ 1 (+ t1 u))
0.2b	(* v (/ 1 (+ t1 u)))
1.5b	(* (/ (- t1) (+ t1 u)) (* v (/ 1 (+ t1 u))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

128×	`*-un-lft-identity`
106×	`times-frac`
78×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
54×	`add-exp-log`
49×	`associate-l`
34×	`add-cbrt-cube`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
22×	`prod-exp`
19×	`associate-r`
14×	`div-exp`
13×	`associate-/l*`
12×	`pow1` `cbrt-unprod`
9×	`neg-mul-1`
8×	`cbrt-undiv` `associate-/r*` `associate-/r/`
5×	`associate-*r/`
4×	`expm1-log1p-u` `rec-exp` `flip3-+` `1-exp` `pow-prod-down` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`un-div-inv` `unswap-sqr`
2×	`frac-times` `frac-2neg` `distribute-frac-neg` `clear-num` `*-commutative`
1×	`distribute-lft-neg-out` `neg-sub0` `pow-flip` `div-sub` `associate-*l/` `inv-pow`

Counts

4 → 235

Calls

4 calls:

7.0ms	(/ (- t1) (+ t1 u))
5.0ms	(/ 1 (+ t1 u))
10.0ms	(* v (/ 1 (+ t1 u)))
19.0ms	(* (/ (- t1) (+ t1 u)) (* v (/ 1 (+ t1 u))))

series223.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (- t1) (+ t1 u))
37.0ms	(/ 1 (+ t1 u))
24.0ms	(* v (/ 1 (+ t1 u)))
120.0ms	(* (/ (- t1) (+ t1 u)) (* v (/ 1 (+ t1 u))))

simplify72.0ms

Algorithm

egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	665	1450
1	3119	1282
2	5001	1241

prune322.0ms

Filtered

247 candidates to 148 candidates (59.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	247	0	247
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	247	7	254

Merged error: 0b

Counts

254 → 7

regimes76.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	18	6
2	21	6
3	21	6

end0.0ms

sample450.0ms

Algorithm

intervals

Results

265.0ms

8265×

body

valid