Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 2.3b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.6b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite30.0ms

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:

9.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(* 1.1283791670955126 (exp z))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
9.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
16.0ms	(* 1.1283791670955126 (exp z))
54.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
71.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (35.0ms)

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

prune206.0ms

Filtered

96 candidates to 76 candidates (79.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	4	97

Merged error: 0b

Counts

97 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.5b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
16×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-l`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `div-sub` `prod-diff` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
8.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
9.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series185.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* 1.1283791670955126 (exp z))
48.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
52.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
69.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify74.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	547	1434
1	2526	1298
2	5002	1226

prune255.0ms

Filtered

158 candidates to 99 candidates (62.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	159	3	162

Merged error: 0b

Counts

162 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.1283791670955126 (/ (exp z) y)) x)
0.0b	(/ (exp z) y)
0.1b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.1b	(* 1.1283791670955126 (/ (exp z) y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `*-un-lft-identity`
28×	`times-frac`
13×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-l` `prod-diff` `div-inv`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `associate-/r/` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rec-exp` `pow-flip` `fma-neg` `diff-log` `1-exp` `associate-r/` `pow-prod-down` `-commutative` `inv-pow`

Counts

4 → 116

Calls

4 calls:

7.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
4.0ms	(/ (exp z) y)
11.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
7.0ms	(* 1.1283791670955126 (/ (exp z) y))

series139.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
16.0ms	(/ (exp z) y)
62.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
21.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify56.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	435	792
1	1832	713
2	5002	692

prune212.0ms

Filtered

128 candidates to 89 candidates (69.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	128	3	131

Merged error: 0b

Counts

131 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
4.1b	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))
4.1b	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--` `log1p-expm1-u`
2×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `prod-diff`

Counts

4 → 66

Calls

4 calls:

5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
5.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))
5.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
52.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
95.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))
93.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	207	574
1	616	532
2	2209	522
3	5001	508

prune182.0ms

Filtered

78 candidates to 62 candidates (79.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	78	3	81

Merged error: 0b

Counts

81 → 3

regimes84.0ms

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	15	6
1	15	6

end0.0ms

sample480.0ms

Algorithm

intervals

Results

309.0ms

8000×

body

valid

Details

sample19.0ms

simplify8.0ms

prune2.0ms

localize9.0ms

rewrite30.0ms

series179.0ms

simplify43.0ms

prune206.0ms

localize9.0ms

rewrite31.0ms

series185.0ms

simplify74.0ms

prune255.0ms

localize9.0ms

rewrite33.0ms

series139.0ms

simplify56.0ms

prune212.0ms

localize11.0ms

rewrite21.0ms

series298.0ms

simplify64.0ms

prune182.0ms

regimes84.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample480.0ms

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