Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	10
1	71	10
2	184	10
3	381	10
4	682	10
5	1102	10
6	2122	10
7	4337	10
8	5001	10

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: 30.9b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
2.9b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
29.0b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
11×	`add-log-exp`
10×	`associate-*l/`
8×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`pow1`
5×	`associate-/r*`
4×	`associate-l` `frac-add`
3×	`associate-r` `associate-/l*`
2×	`flip3--` `diff-log` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

6.0ms	(* (+ x y) z)
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
17.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series720.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (+ x y) z)
44.0ms	(+ (* (+ x y) z) (* (+ t y) a))
92.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
561.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify63.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	523	1089
1	2308	1025
2	5001	1025

prune280.0ms

Filtered

102 candidates to 74 candidates (72.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	91	11	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	11	103

Merged error: 9.1b

Counts

103 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x t) y))
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
2.9b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
29.1b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
21×	`associate-r` `distribute-lft-out`
17×	`add-exp-log`
11×	`add-cbrt-cube` `add-log-exp`
10×	`associate-*l/`
7×	`pow1` `flip3-+` `flip-+`
5×	`associate-/r*`
4×	`div-exp` `frac-add` `prod-exp` `associate-/r/`
3×	`flip3--` `associate-l` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `diff-log` `1-exp` `sum-log` `cbrt-unprod` `div-inv`
1×	`+-commutative` `sub-neg` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `associate--l+` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 118

Calls

4 calls:

9.0ms	(/ 1 (+ (+ x t) y))
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
20.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series792.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ 1 (+ (+ x t) y))
45.0ms	(+ (* (+ x y) z) (* (+ t y) a))
94.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
598.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	562	1271
1	2768	1148
2	5002	1106

prune295.0ms

Filtered

130 candidates to 77 candidates (59.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	129	12	141

Merged error: 9.1b

Counts

141 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.9b	(+ (* (+ x y) z) (* (+ t y) a))
2.9b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
9.2b	(/ (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (cbrt (+ (+ x t) y)))
19.7b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
136×	`*-un-lft-identity`
122×	`cbrt-div`
82×	`associate-/r/`
80×	`cbrt-prod`
66×	`flip3-+` `flip-+`
56×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
40×	`frac-times`
28×	`associate-*l/`
20×	`associate-*r/`
18×	`add-exp-log` `associate-/l*`
11×	`add-cbrt-cube` `div-inv` `add-log-exp`
9×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `frac-add`
3×	`div-sub` `associate-/l/`
2×	`flip3--` `frac-2neg` `diff-log` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod`
1×	`+-commutative` `sub-neg` `associate--l+`

Counts

4 → 224

Calls

4 calls:

7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
32.0ms	(/ (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (cbrt (+ (+ x t) y)))
23.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y))))

series3.8s

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (* (+ x y) z) (* (+ t y) a))
99.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
729.0ms	(/ (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (cbrt (+ (+ x t) y)))
2.9s	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y))))

simplify141.0ms

Algorithm

egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	1108	6213
1	4739	5954
2	5003	5898

prune801.0ms

Filtered

236 candidates to 160 candidates (67.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	234	2	236
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	234	14	248

Merged error: 6.7b

Counts

248 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
5.3b	(/ b (/ (+ (+ x t) y) y))
26.7b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

154×	`*-un-lft-identity`
132×	`times-frac`
74×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
49×	`distribute-lft-out`
24×	`associate-/r*`
18×	`associate-*l/`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
8×	`frac-add`
6×	`pow1` `div-inv` `associate-/l/` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-l`
3×	`associate-r` `associate-/r/`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 173

Calls

4 calls:

6.0ms	(* (+ x y) z)
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
10.0ms	(/ b (/ (+ (+ x t) y) y))
18.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series332.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (+ x y) z)
46.0ms	(+ (* (+ x y) z) (* (+ t y) a))
45.0ms	(/ b (/ (+ (+ x t) y) y))
216.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify84.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	742	1674
1	3349	1591
2	5001	1590

prune438.0ms

Filtered

185 candidates to 124 candidates (67.0%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	181	4	185
Fresh	4	7	11
Picked	1	0	1
Done	1	1	2
Total	187	12	199

Merged error: 4.1b

Counts

199 → 12

regimes618.0ms

Accuracy

51.2% (10.3b remaining)

Error of 13.5b against oracle of 3.1b and baseline of 24.3b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	49
1	38	49

end0.0ms

sample667.0ms

Algorithm

intervals

Results

397.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid