Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify7.0ms

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: 3.3b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.4b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

5.0ms	(* 1.1283791670955126 (exp z))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series359.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* 1.1283791670955126 (exp z))
266.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
76.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	290	501
1	1077	461
2	5001	459

prune173.0ms

Filtered

76 candidates to 59 candidates (77.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	4	77

Merged error: 1.7b

Counts

77 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.3b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.4b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite30.0ms

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

series199.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
49.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
74.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify79.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (61.0ms)

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

prune266.0ms

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 3 expressions with local error:

0.0b	(- (* 1.1283791670955126 (/ (exp z) y)) x)
0.2b	(* 1.1283791670955126 (/ (exp z) y))
0.3b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

6.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
7.0ms	(* 1.1283791670955126 (/ (exp z) y))
8.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))

series136.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
21.0ms	(* 1.1283791670955126 (/ (exp z) y))
67.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))

simplify56.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	407	645
1	1735	576
2	5002	555

prune168.0ms

Filtered

96 candidates to 64 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	96	3	99

Merged error: 0b

Counts

99 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt 1.1283791670955126) (exp z))
0.5b	(* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z)))
1.2b	(- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y))
6.4b	(/ y (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

6.0ms	(* (sqrt 1.1283791670955126) (exp z))
8.0ms	(* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z)))
11.0ms	(- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y))
10.0ms	(/ y (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y)))

series482.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (sqrt 1.1283791670955126) (exp z))
59.0ms	(* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z)))
129.0ms	(- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y))
258.0ms	(/ y (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	370	902
1	1582	746
2	5001	723

prune225.0ms

Filtered

106 candidates to 82 candidates (77.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	106	3	109

Merged error: 0b

Counts

109 → 3

regimes68.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample447.0ms

Algorithm

intervals

Results

263.0ms

8000×

body

valid