Details

sample37.0ms

Algorithm

intervals

Results

19.0ms

409×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	25	5
2	27	5
3	27	5

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

6.0ms	(+ (+ (* x y) (* z t)) (* a b))
4.0ms	(+ (* x y) (* z t))

series86.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ (+ (* x y) (* z t)) (* a b))
33.0ms	(+ (* x y) (* z t))

simplify76.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	187	190
1	747	179
2	2644	177
3	5001	177

prune59.0ms

Filtered

30 candidates to 24 candidates (80.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Merged error: 0.0b

Counts

31 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
0.3b	(* (* a b) (* a b))
4.4b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
30.7b	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
18×	`pow-prod-down`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`prod-exp` `cbrt-unprod`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow-sqr` `pow-prod-up` `difference-of-squares`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `associate-/l*`
3×	`flip3--` `pow-plus` `associate-/r*` `flip--`
2×	`pow2` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

11.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
6.0ms	(* (* a b) (* a b))
10.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
17.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

series752.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
35.0ms	(* (* a b) (* a b))
483.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
184.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

simplify112.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	565	1612
1	3148	1411
2	5001	1359

prune252.0ms

Filtered

132 candidates to 82 candidates (62.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	131	3	134

Merged error: 0.0b

Counts

134 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (+ (* x y) (* z t)) (* a b))) (cbrt (- (+ (* x y) (* z t)) (* a b))))
0.5b	(cbrt (- (+ (* x y) (* z t)) (* a b)))
0.5b	(cbrt (- (+ (* x y) (* z t)) (* a b)))
0.5b	(cbrt (- (+ (* x y) (* z t)) (* a b)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `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` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

14.0ms	(* (cbrt (- (+ (* x y) (* z t)) (* a b))) (cbrt (- (+ (* x y) (* z t)) (* a b))))
5.0ms	(cbrt (- (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (- (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (- (+ (* x y) (* z t)) (* a b)))

series565.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt (- (+ (* x y) (* z t)) (* a b))) (cbrt (- (+ (* x y) (* z t)) (* a b))))
128.0ms	(cbrt (- (+ (* x y) (* z t)) (* a b)))
125.0ms	(cbrt (- (+ (* x y) (* z t)) (* a b)))
120.0ms	(cbrt (- (+ (* x y) (* z t)) (* a b)))

simplify120.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	311	1419
1	1113	1322
2	4735	1216
3	5001	1208

prune279.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0.0b

Counts

102 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
3.4b	(* (* (* a b) a) b)
4.4b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* (* a b) a) b))
30.7b	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* (* a b) a) b)) (- (+ (* x y) (* z t)) (* a b)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
19×	`add-sqr-sqrt`
17×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`times-frac`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`flip3-+` `associate-r` `flip-+` `add-log-exp`
4×	`frac-times` `associate-l`
3×	`flip3--` `swap-sqr` `associate-/r` `flip--` `associate-/l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `pow2` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `div-sub` `div-exp` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

9.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
7.0ms	(* (* (* a b) a) b)
10.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* (* a b) a) b))
17.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* (* a b) a) b)) (- (+ (* x y) (* z t)) (* a b)))

series707.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
33.0ms	(* (* (* a b) a) b)
442.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* (* a b) a) b))
182.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* (* a b) a) b)) (- (+ (* x y) (* z t)) (* a b)))

simplify109.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	582	1576
1	3332	1404
2	5003	1373

prune248.0ms

Filtered

114 candidates to 79 candidates (69.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	114	3	117

Merged error: 0.0b

Counts

117 → 3

regimes228.0ms

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	16	5
1	16	5

end0.0ms

sample914.0ms

Algorithm

intervals

Results

506.0ms

11977×

body

valid

Details

sample37.0ms

simplify6.0ms

prune2.0ms

localize9.0ms

rewrite10.0ms

series86.0ms

simplify76.0ms

prune59.0ms

localize14.0ms

rewrite48.0ms

series752.0ms

simplify112.0ms

prune252.0ms

localize17.0ms

rewrite34.0ms

series565.0ms

simplify120.0ms

prune279.0ms

localize15.0ms

rewrite45.0ms

series707.0ms

simplify109.0ms

prune248.0ms

regimes228.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample914.0ms

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