Details

sample25.0ms

Algorithm

intervals

Results

11.0ms	337×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	7
1	86	7
2	283	7
3	742	7
4	1197	7
5	1273	7
6	1273	7

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: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.0b	(+ (+ y z) z)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

72×	`associate-+l+`
42×	`*-un-lft-identity`
23×	`distribute-lft-out`
22×	`+-commutative`
20×	`add-log-exp`
16×	`distribute-rgt-in` `distribute-lft-in`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r` `associate-l`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`flip3-+` `flip-+`
2×	`associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

9.0ms	(+ (+ (+ y z) z) y)
29.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
15.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
6.0ms	(+ (+ y z) z)

series160.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (+ (+ y z) z) y)
56.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
45.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
24.0ms	(+ (+ y z) z)

simplify57.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	449	663
1	1814	617
2	5002	598

prune239.0ms

Filtered

119 candidates to 74 candidates (62.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	115	4	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	4	120

Merged error: 0.0b

Counts

120 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (* t x) (* y 5.0))
0.0b	(+ (* (+ (+ (+ y z) z) y) x) (+ (* t x) (* y 5.0)))
0.0b	(+ (+ y z) z)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

126×	`*-un-lft-identity`
88×	`distribute-lft-out`
44×	`associate-l`
25×	`add-log-exp`
13×	`sum-log`
8×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `associate-*l/` `frac-add` `add-cbrt-cube`
2×	`associate-+r+`

Counts

4 → 94

Calls

4 calls:

9.0ms	(+ (+ (+ y z) z) y)
12.0ms	(+ (* t x) (* y 5.0))
29.0ms	(+ (* (+ (+ (+ y z) z) y) x) (+ (* t x) (* y 5.0)))
6.0ms	(+ (+ y z) z)

series142.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (+ (+ y z) z) y)
35.0ms	(+ (* t x) (* y 5.0))
51.0ms	(+ (* (+ (+ (+ y z) z) y) x) (+ (* t x) (* y 5.0)))
25.0ms	(+ (+ y z) z)

simplify64.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	428	781
1	1885	746
2	5002	739

prune383.0ms

Filtered

106 candidates to 56 candidates (52.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	106	4	110

Merged error: 0.0b

Counts

110 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

143×	`*-un-lft-identity`
93×	`cbrt-prod`
70×	`associate-l`
60×	`distribute-lft-out`
30×	`swap-sqr`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-r`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 134

Calls

4 calls:

56.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
24.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
24.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
26.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

400.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
283.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
281.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
283.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify67.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	424	2887
1	1518	2731
2	5001	2282

prune327.0ms

Filtered

146 candidates to 75 candidates (51.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	146	4	150

Merged error: 0.0b

Counts

150 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* t x) (* y 5.0))
0.0b	(+ (+ y z) z)
0.0b	(+ (+ y z) z)
0.3b	(* (sqrt (+ (+ y z) z)) (sqrt (+ (+ y z) z)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
38×	`sqrt-prod`
34×	`distribute-lft-out`
24×	`add-sqr-sqrt`
19×	`pow1`
16×	`swap-sqr` `add-log-exp`
12×	`add-cube-cbrt` `sqrt-div` `associate-l`
9×	`flip3-+` `flip-+`
8×	`sqrt-pow1` `pow1/2` `associate-r`
7×	`sum-log`
6×	`add-exp-log` `add-cbrt-cube`
5×	`+-commutative` `pow-prod-up`
4×	`frac-times` `associate-+l+` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 116

Calls

4 calls:

12.0ms	(+ (* t x) (* y 5.0))
6.0ms	(+ (+ y z) z)
6.0ms	(+ (+ y z) z)
16.0ms	(* (sqrt (+ (+ y z) z)) (sqrt (+ (+ y z) z)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* t x) (* y 5.0))
24.0ms	(+ (+ y z) z)
24.0ms	(+ (+ y z) z)
40.0ms	(* (sqrt (+ (+ y z) z)) (sqrt (+ (+ y z) z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	301	600
1	1210	537
2	5002	507

prune228.0ms

Filtered

128 candidates to 60 candidates (46.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	128	4	132

Merged error: 0.0b

Counts

132 → 4

regimes130.0ms

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	21	8
1	21	8

end0.0ms

sample648.0ms

Algorithm

intervals

Results

344.0ms	10536×	body	80	valid
14.0ms	91×	body	1280	valid
13.0ms	111×	body	640	valid
5.0ms	55×	body	320	valid
2.0ms	34×	body	160	valid