Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify101.0ms

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: 26.0b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.7b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.7b	(+ (* (+ x y) z) (* (+ t y) a))
24.3b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite44.0ms

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	(* (+ t y) a)
10.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
10.0ms	(+ (* (+ x y) z) (* (+ t y) a))
15.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series743.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (+ t y) a)
97.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
46.0ms	(+ (* (+ x y) z) (* (+ t y) a))
575.0ms	(/ (- (+ (* (+ 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

prune309.0ms

Filtered

102 candidates to 76 candidates (74.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	90	12	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	12	103

Merged error: 10.2b

Counts

103 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.7b	(+ (* (+ x y) z) (* (+ t y) a))
9.1b	(/ (* y b) (+ (+ x t) y))
19.2b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite43.0ms

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

series363.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ t y) a)
45.0ms	(+ (* (+ x y) z) (* (+ t y) a))
76.0ms	(/ (* y b) (+ (+ x t) y))
217.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify66.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (14.0ms)

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

prune321.0ms

Filtered

118 candidates to 85 candidates (72.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	114	4	118
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	118	12	130

Merged error: 4.6b

Counts

130 → 12

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ x t) y))
1.7b	(+ (* (+ x y) z) (* (+ t y) a))
5.3b	(* (/ y (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (/ b (cbrt (+ (+ x t) y))))
19.2b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
49×	`times-frac`
48×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
30×	`associate-r`
27×	`add-exp-log`
24×	`distribute-lft-out`
22×	`cbrt-prod`
20×	`add-cbrt-cube`
19×	`flip3-+` `associate-*l/` `flip-+`
16×	`cbrt-div`
15×	`associate-l`
12×	`associate-/r/`
8×	`cbrt-undiv` `div-exp` `frac-add` `prod-exp` `cbrt-unprod`
6×	`pow1` `associate-/l/` `add-log-exp` `unswap-sqr`
5×	`frac-times` `associate-/r*`
3×	`associate-r/` `div-inv` `associate-/l`
1×	`+-commutative` `frac-2neg` `pow1/3` `pow-prod-down` `clear-num` `sum-log` `*-commutative`

Counts

4 → 148

Calls

4 calls:

5.0ms	(cbrt (+ (+ x t) y))
8.0ms	(+ (* (+ x y) z) (* (+ t y) a))
33.0ms	(* (/ y (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (/ b (cbrt (+ (+ x t) y))))
14.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series601.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (+ (+ x t) y))
46.0ms	(+ (* (+ x y) z) (* (+ t y) a))
178.0ms	(* (/ y (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (/ b (cbrt (+ (+ x t) y))))
226.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify140.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	876	2099
1	4227	1889
2	5002	1805

prune569.0ms

Filtered

160 candidates to 119 candidates (74.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	157	3	160
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	160	12	172

Merged error: 3.9b

Counts

172 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.7b	(+ (* (+ x y) z) (* (+ t y) a))
8.9b	(/ y (/ (+ (+ x t) y) b))
19.2b	(/ (+ (* (+ 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	(* (+ t y) a)
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
13.0ms	(/ y (/ (+ (+ x t) y) b))
14.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series437.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ t y) a)
50.0ms	(+ (* (+ x y) z) (* (+ t y) a))
144.0ms	(/ y (/ (+ (+ x t) y) b))
222.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify87.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	738	1671
1	3477	1591
2	5001	1590

prune426.0ms

Filtered

185 candidates to 125 candidates (67.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	183	2	185
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	185	12	197

Merged error: 3.9b

Counts

197 → 12

regimes520.0ms

Accuracy

56.8% (9.4b remaining)

Error of 12.6b against oracle of 3.2b and baseline of 24.9b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	41
1	40	41

end0.0ms

sample699.0ms

Algorithm

intervals

Results

428.0ms	7995×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	1×	body	320	valid