Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify99.0ms

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: 27.0b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
1.6b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.3b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite43.0ms

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))
18.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series750.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (+ x y) z)
46.0ms	(+ (* (+ x y) z) (* (+ t y) a))
97.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
584.0ms	(/ (- (+ (* (+ 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	523	1089
1	2308	1025
2	5001	1025

prune311.0ms

Filtered

102 candidates to 74 candidates (72.5%)

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: 9.5b

Counts

103 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
7.9b	(/ (* y b) (+ (+ x t) y))
21.8b	(/ (+ (* (+ 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))

series353.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (+ x y) z)
46.0ms	(+ (* (+ x y) z) (* (+ t y) a))
72.0ms	(/ (* y b) (+ (+ x t) y))
213.0ms	(/ (+ (* (+ 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	538	1000
1	2671	922
2	5002	922

prune347.0ms

Filtered

118 candidates to 83 candidates (70.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	111	7	118
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	117	13	130

Merged error: 5.8b

Counts

130 → 13

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
9.1b	(/ y (/ (+ (+ x t) y) b))
21.8b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite48.0ms

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))
9.0ms	(/ y (/ (+ (+ x t) y) b))
18.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series432.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
50.0ms	(+ (* (+ x y) z) (* (+ t y) a))
141.0ms	(/ y (/ (+ (+ x t) y) b))
219.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify88.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (70.0ms)

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

prune551.0ms

Filtered

185 candidates to 123 candidates (66.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	175	10	185
Fresh	9	3	12
Picked	1	0	1
Done	0	0	0
Total	185	13	198

Merged error: 3.3b

Counts

198 → 13

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x t) y))
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
4.4b	(* (/ y (+ (+ x t) y)) b)
21.8b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
46×	`times-frac`
39×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
33×	`distribute-lft-out`
21×	`associate-l`
17×	`associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`associate-/r*`
8×	`frac-add`
6×	`pow1` `associate-/r/` `associate-/l/` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-r` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative`

Counts

4 → 135

Calls

4 calls:

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

series487.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ y (+ (+ x t) y))
46.0ms	(+ (* (+ x y) z) (* (+ t y) a))
141.0ms	(* (/ y (+ (+ x t) y)) b)
238.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify70.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	562	1213
1	2590	1129
2	5001	1129

prune401.0ms

Filtered

147 candidates to 101 candidates (68.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	142	5	147
Fresh	6	6	12
Picked	1	0	1
Done	0	0	0
Total	149	11	160

Merged error: 3.3b

Counts

160 → 11

regimes492.0ms

Accuracy

18.6% (16.4b remaining)

Error of 19.5b against oracle of 3.1b and baseline of 23.3b

bsearch164.0ms

Steps

Iters	Range		Point
2	6.617277287140864e+48	8.052018986972363e+48	7.872676274493425e+48
9	8.802335139938914e-43	3.95242144404512e-36	1.3909060355411578e-42
6	2.5290314366383075e-101	1.9881658346471851e-100	1.8555915042103347e-100
8	-1.2539829134591484e+94	-4.875819585799931e+91	-1.8094282358139013e+93

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	64
1	53	64

end0.0ms

sample618.0ms

Algorithm

intervals

Results

360.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid