Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	28	6
3	28	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
9.0b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

14.0ms	(* 1.1283791670955126 (exp z))
39.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
13.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
23.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
40.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
62.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
77.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	356	637
1	1280	593
2	5001	590

prune242.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
3.8b	(/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))
5.3b	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
38×	`times-frac`
34×	`add-cube-cbrt` `*-un-lft-identity`
28×	`cbrt-prod`
24×	`associate-r`
18×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`pow1`
6×	`prod-exp` `cbrt-unprod` `associate-/l*`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r*` `unswap-sqr`
2×	`flip3--` `pow1/3` `flip--` `div-inv`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

4 → 118

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
21.0ms	(/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))
79.0ms	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))

series675.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt y)
178.0ms	(cbrt y)
222.0ms	(/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))
98.0ms	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify72.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	540	1289
1	2670	1122
2	5003	1078

prune421.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes125.0ms

Accuracy

89.3% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	20
1	27	20

end0.0ms

sample464.0ms

Algorithm

intervals

Results

236.0ms

8001×

body

valid