Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

272×

body

valid

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	8
1	37	8
2	65	8
3	94	8
4	108	8
5	132	8
6	201	8
7	359	8
8	825	8
9	3212	8
10	5001	8

prune3.0ms

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: 24.1b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- b y))
1.3b	(+ (* x y) (* z (- t a)))
23.2b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-exp-log` `associate-+r+` `add-cbrt-cube` `add-log-exp`
6×	`pow1` `distribute-rgt-in` `sub-neg` `distribute-lft-in`
5×	`associate-r`
4×	`flip3-+` `flip-+`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

3.0ms	(+ y (* z (- b y)))
6.0ms	(* z (- b y))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series412.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ y (* z (- b y)))
37.0ms	(* z (- b y))
39.0ms	(+ (* x y) (* z (- t a)))
308.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	353	708
1	1481	648
2	5001	648

prune460.0ms

Filtered

99 candidates to 69 candidates (69.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	87	12	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	13	100

Merged error: 23.4b

Counts

100 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.3b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
1.3b	(+ (* x y) (* z (- t a)))
23.2b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube`
8×	`associate-+r+` `flip3-+` `div-exp` `flip-+` `add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`+-commutative` `rec-exp` `frac-2neg` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 145

Calls

4 calls:

3.0ms	(+ y (* z (- b y)))
8.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.1s

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ y (* z (- b y)))
779.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
43.0ms	(+ (* x y) (* z (- t a)))
258.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify82.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	525	2048
1	2373	1870
2	5002	1782

prune325.0ms

Filtered

157 candidates to 87 candidates (55.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	152	5	157
Fresh	6	5	11
Picked	0	1	1
Done	1	0	1
Total	159	11	170

Merged error: 23.4b

Counts

170 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
1.3b	(/ 1 (+ (* x y) (* z (- t a))))
1.3b	(+ (* x y) (* z (- t a)))
22.1b	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
29×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `times-frac`
22×	`add-cube-cbrt`
20×	`div-exp` `add-cbrt-cube`
16×	`prod-exp`
15×	`associate-r`
10×	`pow1` `rec-exp` `1-exp` `associate-/r/`
7×	`flip3-+` `flip-+`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp`
4×	`frac-times` `associate-+r+` `associate-l/` `associate-/r` `cbrt-unprod`
3×	`pow-flip` `associate-l` `div-inv` `unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-*r/` `pow-prod-down` `clear-num` `un-div-inv` `inv-pow`
1×	`+-commutative` `sum-log` `*-commutative`

Counts

4 → 134

Calls

4 calls:

10.0ms	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
5.0ms	(/ 1 (+ (* x y) (* z (- t a))))
4.0ms	(+ (* x y) (* z (- t a)))
10.0ms	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

853.0ms	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
50.0ms	(/ 1 (+ (* x y) (* z (- t a))))
43.0ms	(+ (* x y) (* z (- t a)))
312.0ms	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify63.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	499	1409
1	2401	1189
2	5003	1150

prune306.0ms

Filtered

146 candidates to 80 candidates (54.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	146	11	157

Merged error: 23.4b

Counts

157 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- b y))
0.5b	(cbrt (- b y))
1.3b	(+ (* x y) (* z (- t a)))
23.2b	(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`cbrt-prod`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `cbrt-div` `associate-+r+`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `pow1/3` `associate-/r/` `flip--` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 76

Calls

4 calls:

3.0ms	(cbrt (- b y))
3.0ms	(cbrt (- b y))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

series665.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt (- b y))
150.0ms	(cbrt (- b y))
39.0ms	(+ (* x y) (* z (- t a)))
310.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

simplify47.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	380	1064
1	1283	970
2	5001	962

prune373.0ms

Filtered

88 candidates to 72 candidates (81.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	88	11	99

Merged error: 23.4b

Counts

99 → 11

regimes463.0ms

Accuracy

0% (0.7b remaining)

Error of 23.5b against oracle of 22.8b and baseline of 23.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

end0.0ms

sample635.0ms

Algorithm

intervals

Results

348.0ms

8419×

body

valid