Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

304×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	29	6
2	42	6
3	49	6
4	55	6
5	61	6
6	63	6
7	63	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: 2.1b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b	(/ (+ x 4.0) y)
4.1b	(* (/ x y) z)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
46×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `associate-r` `associate-l/` `associate-/r` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 117

Calls

3 calls:

10.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
5.0ms	(/ (+ x 4.0) y)
6.0ms	(* (/ x y) z)

series92.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
26.0ms	(/ (+ x 4.0) y)
21.0ms	(* (/ x y) z)

simplify44.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	399	743
1	1422	683
2	5001	668

prune269.0ms

Filtered

126 candidates to 89 candidates (70.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	119	7	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	7	127

Merged error: 0.0b

Counts

127 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
9×	`pow1` `cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`frac-times` `times-frac` `associate-r/` `associate-r` `-commutative` `div-inv`

Counts

4 → 90

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
16.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series674.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt x)
297.0ms	(cbrt x)
177.0ms	(cbrt x)
21.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify62.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	410	1005
1	2226	677
2	5002	546

prune226.0ms

Filtered

102 candidates to 62 candidates (60.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	102	7	109

Merged error: 0.0b

Counts

109 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(* (cbrt y) (cbrt y))
2.2b	(* (/ x (cbrt y)) z)
4.8b	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

89×	`add-exp-log`
47×	`prod-exp`
45×	`add-sqr-sqrt`
35×	`associate-l` `add-cbrt-cube`
29×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
23×	`times-frac`
21×	`cbrt-unprod`
20×	`div-exp`
18×	`pow1`
10×	`cbrt-undiv` `associate-r`
7×	`pow1/3` `unswap-sqr`
6×	`rec-exp` `1-exp` `swap-sqr` `pow-prod-down`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up` `div-inv`
1×	`pow2` `frac-times` `pow-plus` `associate-*r/`

Counts

4 → 152

Calls

4 calls:

1.0ms	(cbrt y)
6.0ms	(* (cbrt y) (cbrt y))
11.0ms	(* (/ x (cbrt y)) z)
15.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

series533.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt y)
202.0ms	(* (cbrt y) (cbrt y))
113.0ms	(* (/ x (cbrt y)) z)
47.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify86.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	548	1013
1	2781	770
2	5003	703

prune344.0ms

Filtered

164 candidates to 106 candidates (64.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	164	7	171

Merged error: 0.0b

Counts

171 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* x (/ z y)))
0.0b	(/ (+ x 4.0) y)
6.0b	(* x (/ z y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
46×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `associate-r/` `associate-l` `associate-/r` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 117

Calls

3 calls:

9.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
5.0ms	(/ (+ x 4.0) y)
6.0ms	(* x (/ z y))

series90.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
26.0ms	(/ (+ x 4.0) y)
23.0ms	(* x (/ z y))

simplify53.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	409	748
1	1644	688
2	5001	677

prune224.0ms

Filtered

126 candidates to 87 candidates (69.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	125	8	133

Merged error: 0b

Counts

133 → 8

regimes98.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	16
1	19	16

end0.0ms

sample553.0ms

Algorithm

intervals

Results

351.0ms

10045×

body

valid