Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

272×

body

valid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune6.0ms

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: 20.3b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- b y))
0.3b	(+ (* x y) (* z (- t a)))
19.7b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite22.0ms

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))))

series402.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ y (* z (- b y)))
33.0ms	(* z (- b y))
43.0ms	(+ (* x y) (* z (- t a)))
295.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (10.0ms)

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

prune269.0ms

Filtered

99 candidates to 69 candidates (69.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	86	13	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	14	100

Merged error: 19.7b

Counts

100 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.3b	(+ (* x y) (* z (- t a)))
0.4b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
19.6b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 156

Calls

4 calls:

6.0ms	(* z (- b y))
4.0ms	(+ (* x y) (* z (- t a)))
8.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
7.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.1s

Counts

4 → 12

Calls

4 calls:

37.0ms	(* z (- b y))
39.0ms	(+ (* x y) (* z (- t a)))
784.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
257.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify74.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	576	2059
1	2790	1881
2	5003	1793

prune324.0ms

Filtered

168 candidates to 95 candidates (56.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	165	3	168
Fresh	4	8	12
Picked	0	1	1
Done	0	1	1
Total	169	13	182

Merged error: 19.7b

Counts

182 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x y) (* z (- t a)))
0.5b	(/ 1 (+ (* x y) (* z (- t a))))
0.7b	(/ 1 (+ y (* z (- b y))))
19.1b	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

531×	`times-frac`
244×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
69×	`associate-/r/`
52×	`add-exp-log`
36×	`div-exp`
35×	`flip3-+` `flip-+` `div-inv`
21×	`associate-/r` `associate-/l`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1` `add-log-exp`
4×	`associate-+r+`
3×	`frac-2neg` `clear-num`
2×	`distribute-rgt-in` `sub-neg` `pow-flip` `distribute-lft-in` `inv-pow`
1×	`+-commutative` `sum-log` `associate-/l/`

Counts

4 → 368

Calls

4 calls:

4.0ms	(+ (* x y) (* z (- t a)))
5.0ms	(/ 1 (+ (* x y) (* z (- t a))))
4.0ms	(/ 1 (+ y (* z (- b y))))
15.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series957.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (* x y) (* z (- t a)))
50.0ms	(/ 1 (+ (* x y) (* z (- t a))))
83.0ms	(/ 1 (+ y (* z (- b y))))
780.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify101.0ms

Algorithm

egg-herbie

Counts

380 → 380

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1647	7172
1	5001	6611

prune733.0ms

Filtered

380 candidates to 190 candidates (50.0%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	379	1	380
Fresh	1	9	10
Picked	0	1	1
Done	0	2	2
Total	380	13	393

Merged error: 19.7b

Counts

393 → 13

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- b y))
0.6b	(cbrt (- b y))
0.6b	(cbrt (- b y))
19.7b	(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

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

series903.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (- b y))
317.0ms	(cbrt (- b y))
145.0ms	(cbrt (- b y))
298.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

simplify43.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	337	1064
1	1145	974
2	5001	964

prune289.0ms

Filtered

88 candidates to 74 candidates (84.1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	1	8	9
Picked	1	0	1
Done	0	3	3
Total	88	13	101

Merged error: 19.7b

Counts

101 → 13

regimes441.0ms

Accuracy

0% (0.6b remaining)

Error of 23.4b against oracle of 22.8b and baseline of 23.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample661.0ms

Algorithm

intervals

Results

365.0ms

8418×

body

valid

Details

sample25.0ms

simplify107.0ms

prune6.0ms

localize12.0ms

rewrite22.0ms

series402.0ms

simplify48.0ms

prune269.0ms

localize13.0ms

rewrite31.0ms

series1.1s

simplify74.0ms

prune324.0ms

localize19.0ms

rewrite48.0ms

series957.0ms

simplify101.0ms

prune733.0ms

localize21.0ms

rewrite17.0ms

series903.0ms

simplify43.0ms

prune289.0ms

regimes441.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample661.0ms

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