Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

263×

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: 18.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
18.2b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite32.0ms

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:

20.0ms	(* (+ t1 u) (+ t1 u))
9.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(* (+ t1 u) (+ t1 u))
70.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify57.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (51.0ms)

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

prune116.0ms

Pruning

6 alts after pruning (5 fresh and 1 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))
0.8b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite67.0ms

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:

5.0ms	(/ v (+ t1 u))
7.0ms	(/ (- t1) (+ t1 u))
46.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ v (+ t1 u))
40.0ms	(/ (- t1) (+ t1 u))
118.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify62.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (46.0ms)

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

prune356.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ t1 u))
0.0b	(/ v (+ t1 u))
0.7b	(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
6.9b	(* (- t1) (/ v (+ t1 u)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
54×	`add-exp-log`
49×	`times-frac`
46×	`add-sqr-sqrt`
41×	`add-cube-cbrt`
36×	`associate-r`
34×	`add-cbrt-cube`
22×	`prod-exp`
14×	`div-exp` `distribute-lft-out`
12×	`pow1` `cbrt-unprod`
11×	`associate-l`
8×	`cbrt-undiv` `associate-/r*` `associate-/r/`
6×	`associate-/l*`
4×	`rec-exp` `flip3-+` `1-exp` `associate-*r/` `pow-prod-down` `flip-+` `div-inv` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`
1×	`frac-times` `neg-mul-1` `pow-flip` `associate-*l/` `un-div-inv` `inv-pow`

Counts

4 → 167

Calls

4 calls:

5.0ms	(/ 1 (+ t1 u))
5.0ms	(/ v (+ t1 u))
34.0ms	(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
19.0ms	(* (- t1) (/ v (+ t1 u)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 1 (+ t1 u))
23.0ms	(/ v (+ t1 u))
72.0ms	(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
47.0ms	(* (- t1) (/ v (+ t1 u)))

simplify75.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	546	1035
1	3346	884
2	5001	849

prune287.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.2b	(/ 1 (/ (+ t1 u) v))
0.8b	(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

277×	`times-frac`
230×	`*-un-lft-identity`
175×	`add-sqr-sqrt`
142×	`add-cube-cbrt`
61×	`add-exp-log`
53×	`associate-r`
46×	`associate-l`
42×	`distribute-lft-out`
31×	`add-cbrt-cube`
29×	`div-exp`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
20×	`associate-/r*`
14×	`prod-exp`
13×	`cbrt-undiv` `associate-/l*`
11×	`div-inv`
10×	`unswap-sqr`
9×	`neg-mul-1`
6×	`pow1` `rec-exp` `1-exp` `associate-/r/` `cbrt-unprod`
3×	`add-log-exp`
2×	`frac-2neg` `flip3-+` `distribute-frac-neg` `clear-num` `flip-+`
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

3 → 301

Calls

3 calls:

7.0ms	(/ (- t1) (+ t1 u))
9.0ms	(/ 1 (/ (+ t1 u) v))
75.0ms	(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

series217.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (- t1) (+ t1 u))
62.0ms	(/ 1 (/ (+ t1 u) v))
116.0ms	(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

simplify49.0ms

Algorithm

egg-herbie

Counts

310 → 310

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	1021	2421
1	5001	2136

prune520.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (1.0b remaining)

Error of 1.6b against oracle of 0.6b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	6
1	13	6
2	13	6

end0.0ms

sample368.0ms

Algorithm

intervals

Results

206.0ms

8252×

body

valid