Details

sample25.0ms

Algorithm

intervals

Results

15.0ms

259×

body

valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	65	6
2	132	6
3	208	6
4	250	6
5	287	6
6	307	6
7	347	6
8	420	6
9	573	6
10	1883	6
11	5001	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
18.7b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite57.0ms

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×	`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 → 70

Calls

2 calls:

34.0ms	(* (+ t1 u) (+ t1 u))
21.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series78.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(* (+ t1 u) (+ t1 u))
65.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify59.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	381	490
1	2039	406
2	5001	402

prune197.0ms

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

rewrite98.0ms

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×	`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 → 192

Calls

3 calls:

10.0ms	(/ v (+ t1 u))
14.0ms	(/ (- t1) (+ t1 u))
65.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series163.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ v (+ t1 u))
35.0ms	(/ (- t1) (+ t1 u))
106.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify64.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	593	1285
1	2700	1201
2	5002	1197

prune649.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ t1 u) (- t1))
0.0b	(/ v (+ t1 u))
0.3b	(/ 1 (/ (+ t1 u) (- t1)))
0.3b	(* (/ 1 (/ (+ t1 u) (- t1))) (/ v (+ t1 u)))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

625×	`times-frac`
478×	`*-un-lft-identity`
331×	`add-sqr-sqrt`
298×	`add-cube-cbrt`
137×	`associate-l`
99×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
88×	`distribute-lft-out`
64×	`add-exp-log`
58×	`associate-/r*`
34×	`add-cbrt-cube`
33×	`neg-mul-1`
30×	`div-exp`
18×	`associate-r`
14×	`cbrt-undiv` `prod-exp`
12×	`div-inv`
10×	`associate-/l*` `unswap-sqr`
7×	`pow1`
6×	`rec-exp` `1-exp` `associate-/r/` `cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
2×	`associate-/l/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

4 → 498

Calls

4 calls:

19.0ms	(/ (+ t1 u) (- t1))
12.0ms	(/ v (+ t1 u))
23.0ms	(/ 1 (/ (+ t1 u) (- t1)))
117.0ms	(* (/ 1 (/ (+ t1 u) (- t1))) (/ v (+ t1 u)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (+ t1 u) (- t1))
21.0ms	(/ v (+ t1 u))
35.0ms	(/ 1 (/ (+ t1 u) (- t1)))
109.0ms	(* (/ 1 (/ (+ t1 u) (- t1))) (/ v (+ t1 u)))

simplify67.0ms

Algorithm

egg-herbie

Counts

510 → 510

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1391	4188
1	5001	3752

prune1.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

2144×	`times-frac`
1515×	`*-un-lft-identity`
835×	`add-sqr-sqrt` `add-cube-cbrt`
340×	`distribute-lft-out`
243×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
93×	`associate-/r/`
81×	`neg-mul-1`
67×	`div-inv`
58×	`associate-/r*`
47×	`flip3-+` `flip-+`
25×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
3×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

3 → 975

Calls

3 calls:

19.0ms	(/ (+ t1 u) (- t1))
10.0ms	(/ v (+ t1 u))
52.0ms	(/ (/ v (+ t1 u)) (/ (+ t1 u) (- t1)))

series102.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ (+ t1 u) (- t1))
21.0ms	(/ v (+ t1 u))
54.0ms	(/ (/ v (+ t1 u)) (/ (+ t1 u) (- t1)))

simplify176.0ms

Algorithm

egg-herbie

Counts

984 → 984

Iterations

Useful iterations: 1 (52.0ms)

Iter	Nodes	Cost
0	3150	13731
1	5002	13545

prune3.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.8b remaining)

Error of 1.5b against oracle of 0.7b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	17	6
2	17	6

end0.0ms

sample450.0ms

Algorithm

intervals

Results

284.0ms

8256×

body

valid