Details

sample35.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify100.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune8.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 25.2b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.0b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.1b	(+ (* (+ x y) z) (* (+ t y) a))
23.6b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite41.0ms

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)
10.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
16.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series202.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (+ x y) z)
30.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
147.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify68.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (15.0ms)

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

prune161.0ms

Filtered

102 candidates to 74 candidates (27.5%)

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: 8.2b

Counts

103 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
2.1b	(+ (* (+ x y) z) (* (+ t y) a))
8.7b	(/ (* y b) (+ (+ x t) y))
20.1b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

6.0ms	(* (+ x y) z)
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
8.0ms	(/ (* y b) (+ (+ x t) y))
14.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series101.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ x y) z)
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
17.0ms	(/ (* y b) (+ (+ x t) y))
62.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	538	1000
1	2671	922
2	5001	922

prune154.0ms

Filtered

118 candidates to 83 candidates (29.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	114	4	118
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	117	12	129

Merged error: 4.4b

Counts

129 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
2.1b	(+ (* (+ x y) z) (* (+ t y) a))
8.2b	(/ y (/ (+ (+ x t) y) b))
20.1b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite46.0ms

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	(/ y (/ (+ (+ x t) y) b))
15.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series112.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ x y) z)
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
28.0ms	(/ y (/ (+ (+ x t) y) b))
63.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify86.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	741	1673
1	3484	1591
2	5001	1590

prune178.0ms

Filtered

185 candidates to 123 candidates (33.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	182	3	185
Fresh	6	5	11
Picked	1	0	1
Done	0	0	0
Total	189	8	197

Merged error: 3.3b

Counts

197 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (/ (/ (+ (+ x t) y) b) y))
2.1b	(+ (* (+ x y) z) (* (+ t y) a))
8.2b	(/ (/ (+ (+ x t) y) b) y)
20.1b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

723×	`times-frac`
580×	`*-un-lft-identity`
320×	`add-sqr-sqrt` `add-cube-cbrt`
156×	`distribute-lft-out`
69×	`associate-/r*`
32×	`add-exp-log`
25×	`associate-/l*`
23×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
16×	`associate-*l/`
11×	`flip3-+` `flip-+`
10×	`cbrt-undiv`
8×	`frac-add`
7×	`associate-/l/`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/r/`
1×	`+-commutative` `pow-flip` `sum-log` `inv-pow`

Counts

4 → 424

Calls

4 calls:

19.0ms	(/ 1 (/ (/ (+ (+ x t) y) b) y))
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
11.0ms	(/ (/ (+ (+ x t) y) b) y)
14.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series129.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ 1 (/ (/ (+ (+ x t) y) b) y))
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
10.0ms	(/ (/ (+ (+ x t) y) b) y)
65.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify76.0ms

Algorithm

egg-herbie

Counts

436 → 436

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1383	4958
1	5001	4462

prune283.0ms

Filtered

436 candidates to 237 candidates (45.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	436	0	436
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	436	8	444

Merged error: 3.3b

Counts

444 → 8

regimes831.0ms

Accuracy

58.3% (8.9b remaining)

Error of 12.0b against oracle of 3.1b and baseline of 24.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	41
1	39	41

end0.0ms

sample969.0ms

Algorithm

intervals

Results

459.0ms	7998×	body	80	valid
0.0ms	2×	body	640	valid

Details

sample35.0ms

simplify100.0ms

prune8.0ms

localize15.0ms

rewrite41.0ms

series202.0ms

simplify68.0ms

prune161.0ms

localize15.0ms

rewrite38.0ms

series101.0ms

simplify65.0ms

prune154.0ms

localize15.0ms

rewrite46.0ms

series112.0ms

simplify86.0ms

prune178.0ms

localize17.0ms

rewrite84.0ms

series129.0ms

simplify76.0ms

prune283.0ms

regimes831.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample969.0ms

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