Details

sample24.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true
3.0ms	247×	pre	80	false

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	48	7
2	110	7
3	284	7
4	1580	7
5	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
16.8b	(/ (- (* a a) (* b b)) (* a a))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`times-frac` `associate-/l*`
3×	`pow1` `sqrt-prod`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `associate-/l/` `add-log-exp` `difference-of-squares`
1×	`rem-sqrt-square` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod` `div-inv`

Counts

2 → 43

Calls

2 calls:

1.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
25.0ms	(/ (- (* a a) (* b b)) (* a a))

series69.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
50.0ms	(/ (- (* a a) (* b b)) (* a a))

simplify144.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (139.0ms)

Iter	Nodes	Cost
0	205	367
1	860	319
2	4279	318
3	5001	316

prune124.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
0.0b	(/ (+ a b) a)
0.0b	(/ (- a b) a)
0.0b	(* (/ (+ a b) a) (/ (- a b) a))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
58×	`times-frac`
41×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
16×	`associate-l`
9×	`associate-/l*`
7×	`pow1` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
3×	`sqrt-prod`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `rem-sqrt-square` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `flip-+`

Counts

4 → 151

Calls

4 calls:

1.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
18.0ms	(/ (+ a b) a)
17.0ms	(/ (- a b) a)
52.0ms	(* (/ (+ a b) a) (/ (- a b) a))

series134.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
24.0ms	(/ (+ a b) a)
30.0ms	(/ (- a b) a)
63.0ms	(* (/ (+ a b) a) (/ (- a b) a))

simplify62.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	505	991
1	2546	909
2	5001	905

prune348.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
0.0b	(* (+ a b) (/ (- a b) a))
0.0b	(/ (* (+ a b) (/ (- a b) a)) a)
0.0b	(/ (- a b) a)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
34×	`times-frac`
27×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
7×	`pow1` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l`
4×	`expm1-log1p-u` `frac-times` `flip3-+` `associate-l` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod` `div-inv`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `div-sub` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out`

Counts

4 → 130

Calls

4 calls:

1.0ms	(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
41.0ms	(* (+ a b) (/ (- a b) a))
24.0ms	(/ (* (+ a b) (/ (- a b) a)) a)
17.0ms	(/ (- a b) a)

series167.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
57.0ms	(* (+ a b) (/ (- a b) a))
62.0ms	(/ (* (+ a b) (/ (- a b) a)) a)
31.0ms	(/ (- a b) a)

simplify67.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	453	858
1	2492	775
2	5001	769

prune309.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	7
1	11	7

end0.0ms

sample659.0ms

Algorithm

intervals

Results

179.0ms	8000×	body	80	valid
87.0ms	8035×	pre	80	false
86.0ms	8000×	pre	80	true