Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

265×

body

valid

simplify78.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
16.5b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite58.0ms

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:

35.0ms	(* (+ t1 u) (+ t1 u))
21.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series80.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(* (+ t1 u) (+ t1 u))
67.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify59.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (52.0ms)

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

prune126.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
0.5b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite102.0ms

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:

14.0ms	(/ (- t1) (+ t1 u))
11.0ms	(/ v (+ t1 u))
69.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (- t1) (+ t1 u))
25.0ms	(/ v (+ t1 u))
106.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify61.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 2 (48.0ms)

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

prune375.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ (+ t1 u) v)
0.5b	(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))
1.0b	(/ 1 (/ (+ t1 u) v))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

289×	`times-frac`
248×	`*-un-lft-identity`
185×	`add-sqr-sqrt`
152×	`add-cube-cbrt`
64×	`add-exp-log`
53×	`associate-r`
46×	`associate-l` `distribute-lft-out`
34×	`add-cbrt-cube`
30×	`div-exp`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
23×	`associate-/r*`
17×	`associate-/l*`
14×	`cbrt-undiv` `prod-exp`
12×	`div-inv`
10×	`unswap-sqr`
9×	`neg-mul-1`
7×	`pow1`
6×	`rec-exp` `1-exp` `associate-/r/` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
2×	`distribute-frac-neg` `associate-/l/`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `pow-flip` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

4 → 342

Calls

4 calls:

14.0ms	(/ (- t1) (+ t1 u))
18.0ms	(/ (+ t1 u) v)
101.0ms	(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))
16.0ms	(/ 1 (/ (+ t1 u) v))

series219.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (- t1) (+ t1 u))
17.0ms	(/ (+ t1 u) v)
113.0ms	(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))
54.0ms	(/ 1 (/ (+ t1 u) v))

simplify54.0ms

Algorithm

egg-herbie

Counts

354 → 354

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1054	2624
1	5002	2331

prune616.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ (+ t1 u) v)
0.9b	(/ (/ (- t1) (+ t1 u)) (/ (+ t1 u) v))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

2032×	`times-frac`
1457×	`*-un-lft-identity`
805×	`add-sqr-sqrt` `add-cube-cbrt`
326×	`distribute-lft-out`
219×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
73×	`neg-mul-1`
67×	`div-inv`
60×	`associate-/l*`
37×	`associate-/r/`
23×	`associate-/r*`
19×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `div-sub` `distribute-frac-neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
2×	`neg-sub0`

Counts

3 → 929

Calls

3 calls:

14.0ms	(/ (- t1) (+ t1 u))
18.0ms	(/ (+ t1 u) v)
56.0ms	(/ (/ (- t1) (+ t1 u)) (/ (+ t1 u) v))

series167.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (- t1) (+ t1 u))
17.0ms	(/ (+ t1 u) v)
109.0ms	(/ (/ (- t1) (+ t1 u)) (/ (+ t1 u) v))

simplify160.0ms

Algorithm

egg-herbie

Counts

938 → 938

Iterations

Useful iterations: 1 (48.0ms)

Iter	Nodes	Cost
0	2948	12764
1	5002	12502

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	21	6
2	25	6
3	36	6
4	39	6
5	39	6

end0.0ms

sample466.0ms

Algorithm

intervals

Results

218.0ms

8258×

body

valid