Details

sample46.0ms

Algorithm

intervals

Results

24.0ms

256×

body

valid

simplify139.0ms

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

prune5.0ms

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: 24.0b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.5b	(+ (* (+ x y) z) (* (+ t y) a))
2.1b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
22.4b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite71.0ms

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:

10.0ms	(* (+ t y) a)
11.0ms	(+ (* (+ x y) z) (* (+ t y) a))
16.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
30.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series935.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (+ t y) a)
46.0ms	(+ (* (+ x y) z) (* (+ t y) a))
270.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
595.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify64.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	520	1087
1	2308	1025
2	5003	1025

prune294.0ms

Filtered

102 candidates to 76 candidates (74.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	89	13	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	13	103

Merged error: 6.6b

Counts

103 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.5b	(+ (* (+ x y) z) (* (+ t y) a))
7.4b	(/ (* y b) (+ (+ x t) y))
20.8b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite41.0ms

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	(* (+ t y) a)
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
8.0ms	(/ (* y b) (+ (+ x t) y))
16.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series348.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ t y) a)
48.0ms	(+ (* (+ x y) z) (* (+ t y) a))
71.0ms	(/ (* y b) (+ (+ x t) y))
208.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify67.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	535	998
1	2664	922
2	5002	922

prune302.0ms

Filtered

118 candidates to 85 candidates (72.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	120	11	131

Merged error: 4.2b

Counts

131 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ x t) y) b)
1.5b	(+ (* (+ x y) z) (* (+ t y) a))
8.6b	(/ y (/ (+ (+ x t) y) b))
20.8b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

180×	`*-un-lft-identity`
147×	`times-frac`
80×	`add-sqr-sqrt` `add-cube-cbrt`
60×	`distribute-lft-out`
27×	`associate-/r*`
16×	`associate-*l/`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
11×	`associate-/l*`
8×	`frac-add` `associate-/l/`
7×	`div-inv`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `associate-/r/`
1×	`+-commutative` `sum-log`

Counts

4 → 189

Calls

4 calls:

8.0ms	(/ (+ (+ x t) y) b)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
10.0ms	(/ y (/ (+ (+ x t) y) b))
13.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series424.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (+ (+ x t) y) b)
45.0ms	(+ (* (+ x y) z) (* (+ t y) a))
141.0ms	(/ y (/ (+ (+ x t) y) b))
215.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify104.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	726	1823
1	3478	1734
2	5001	1733

prune464.0ms

Filtered

201 candidates to 134 candidates (66.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	199	2	201
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	202	10	212

Merged error: 2.4b

Counts

212 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.5b	(+ (* (+ x y) z) (* (+ t y) a))
2.1b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
22.5b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
138×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
24×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
8×	`div-exp` `associate-l/` `associate-/l`
6×	`flip3--` `flip3-+` `flip--` `flip-+` `div-inv`
5×	`pow1`
4×	`cbrt-undiv` `frac-add`
2×	`rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`+-commutative` `sub-neg` `pow-flip` `associate--l+` `inv-pow`

Counts

4 → 176

Calls

4 calls:

17.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
15.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series819.0ms

Counts

4 → 12

Calls

4 calls:

579.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
46.0ms	(+ (* (+ x y) z) (* (+ t y) a))
97.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
97.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify97.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	703	3190
1	3355	2979
2	5002	2861

prune322.0ms

Filtered

188 candidates to 96 candidates (51.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	187	1	188
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	187	11	198

Merged error: 2.4b

Counts

198 → 11

regimes589.0ms

Accuracy

76.5% (5.1b remaining)

Error of 8.1b against oracle of 2.9b and baseline of 24.7b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	33
1	41	33

end0.0ms

sample730.0ms

Algorithm

intervals

Results

454.0ms	7998×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid