Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

268×

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: 18.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
18.0b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite28.0ms

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:

16.0ms	(* (+ t1 u) (+ t1 u))
9.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(* (+ t1 u) (+ t1 u))
73.0ms	(/ (* (- 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

prune135.0ms

Pruning

7 alts after pruning (7 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))
1.3b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite64.0ms

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))
43.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (- t1) (+ t1 u))
26.0ms	(/ v (+ t1 u))
117.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify63.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 2 (48.0ms)

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

prune386.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t1 (+ t1 u))
0.0b	(/ v (+ t1 u))
1.3b	(* (- 0 (/ t1 (+ t1 u))) (/ v (+ t1 u)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
38×	`times-frac`
30×	`add-cube-cbrt`
18×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-lft-out`
8×	`associate-/r*`
6×	`associate-l` `associate-/r/` `associate-/l*`
5×	`pow1`
3×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-times` `flip3--` `frac-2neg` `associate-*l/` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`distribute-lft-neg-out` `sub0-neg` `associate-r/` `pow-prod-down` `-commutative` `distribute-lft-out--`

Counts

3 → 117

Calls

3 calls:

5.0ms	(/ t1 (+ t1 u))
5.0ms	(/ v (+ t1 u))
60.0ms	(* (- 0 (/ t1 (+ t1 u))) (/ v (+ t1 u)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ t1 (+ t1 u))
24.0ms	(/ v (+ t1 u))
119.0ms	(* (- 0 (/ t1 (+ t1 u))) (/ v (+ t1 u)))

simplify58.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	376	712
1	1737	658
2	5001	656

prune255.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ t1 u))
0.0b	(/ v (+ t1 u))
0.2b	(* t1 (/ 1 (+ t1 u)))
1.3b	(* (- 0 (* t1 (/ 1 (+ t1 u)))) (/ v (+ t1 u)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
51×	`times-frac`
40×	`add-cube-cbrt`
36×	`associate-r`
24×	`add-exp-log`
18×	`add-cbrt-cube`
14×	`distribute-lft-out`
9×	`pow1`
8×	`associate-/r*` `associate-/r/`
6×	`div-exp` `associate-l` `prod-exp` `associate-/l*`
5×	`unswap-sqr`
4×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-times` `rec-exp` `flip3--` `frac-2neg` `1-exp` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `flip--`
1×	`distribute-lft-neg-out` `pow-flip` `sub0-neg` `un-div-inv` `inv-pow`

Counts

4 → 161

Calls

4 calls:

5.0ms	(/ 1 (+ t1 u))
5.0ms	(/ v (+ t1 u))
15.0ms	(* t1 (/ 1 (+ t1 u)))
19.0ms	(* (- 0 (* t1 (/ 1 (+ t1 u)))) (/ v (+ t1 u)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 1 (+ t1 u))
26.0ms	(/ v (+ t1 u))
39.0ms	(* t1 (/ 1 (+ t1 u)))
120.0ms	(* (- 0 (* t1 (/ 1 (+ t1 u)))) (/ v (+ t1 u)))

simplify84.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	471	943
1	2458	814
2	5001	763

prune313.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (1.3b 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	20	6
3	20	6

end0.0ms

sample391.0ms

Algorithm

intervals

Results

219.0ms

8258×

body

valid