Details

sample25.0ms

Algorithm

intervals

Results

11.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify109.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
2.1b	(+ (* (+ x y) z) (* (+ t y) a))
3.2b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.0b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite128.0ms

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)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
34.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
76.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series749.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (+ t y) a)
49.0ms	(+ (* (+ x y) z) (* (+ t y) a))
96.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
582.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify70.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (16.0ms)

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

prune334.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x t) y))
2.1b	(+ (* (+ x y) z) (* (+ t y) a))
3.2b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.1b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite198.0ms

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:

18.0ms	(/ 1 (+ (+ x t) y))
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
33.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
135.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series780.0ms

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))
586.0ms	(* (- (+ (* (+ 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

prune304.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 8.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ x t) y))
2.1b	(+ (* (+ x y) z) (* (+ t y) a))
3.2b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.1b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ (/ 1 (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (cbrt (+ (+ x t) y))))

rewrite338.0ms

Algorithm

rewrite-expression-head

Rules

154×	`times-frac`
135×	`*-un-lft-identity`
126×	`associate-r`
100×	`cbrt-div`
83×	`cbrt-prod`
71×	`add-sqr-sqrt`
66×	`associate-/r/`
55×	`flip3-+` `flip-+`
53×	`add-cube-cbrt`
48×	`distribute-lft-out`
34×	`frac-times`
32×	`add-exp-log`
26×	`associate-*l/`
17×	`associate-*r/`
13×	`add-cbrt-cube`
11×	`div-exp` `prod-exp` `add-log-exp`
9×	`div-inv`
7×	`unswap-sqr`
6×	`pow1`
5×	`cbrt-undiv` `cbrt-unprod`
4×	`frac-add`
3×	`flip3--` `associate-l` `flip--`
2×	`rec-exp` `diff-log` `1-exp` `sum-log`
1×	`+-commutative` `sub-neg` `pow1/3` `pow-prod-down` `associate--l+` `*-commutative`

Counts

4 → 206

Calls

4 calls:

9.0ms	(cbrt (+ (+ x t) y))
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
32.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
277.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ (/ 1 (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (cbrt (+ (+ x t) y))))

series879.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (+ (+ x t) y))
49.0ms	(+ (* (+ x y) z) (* (+ t y) a))
95.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
595.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ (/ 1 (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (cbrt (+ (+ x t) y))))

simplify66.0ms

Algorithm

egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1225	4241
1	5001	3869

prune759.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 8.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ x t) y))
0.6b	(cbrt (+ (+ x t) y))
2.3b	(- (* (+ t y) a) (* y b))
19.1b	(* (- (* (+ t y) a) (* y b)) (/ (/ 1 (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (cbrt (+ (+ x t) y))))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

154×	`times-frac`
141×	`*-un-lft-identity`
126×	`associate-r`
102×	`cbrt-div`
88×	`cbrt-prod`
72×	`add-sqr-sqrt`
66×	`associate-/r/`
54×	`add-cube-cbrt`
51×	`flip3-+` `flip-+` `distribute-lft-out`
34×	`frac-times`
32×	`add-exp-log`
18×	`associate-*l/`
17×	`associate-*r/`
13×	`add-cbrt-cube`
11×	`div-exp` `prod-exp`
9×	`div-inv`
7×	`unswap-sqr`
6×	`pow1` `add-log-exp`
5×	`cbrt-undiv` `cbrt-unprod`
3×	`flip3--` `associate-l` `flip--`
2×	`rec-exp` `pow1/3` `1-exp`
1×	`sub-neg` `diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 204

Calls

4 calls:

8.0ms	(cbrt (+ (+ x t) y))
8.0ms	(cbrt (+ (+ x t) y))
5.0ms	(- (* (+ t y) a) (* y b))
206.0ms	(* (- (* (+ t y) a) (* y b)) (/ (/ 1 (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (cbrt (+ (+ x t) y))))

series524.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (+ (+ x t) y))
143.0ms	(cbrt (+ (+ x t) y))
28.0ms	(- (* (+ t y) a) (* y b))
215.0ms	(* (- (* (+ t y) a) (* y b)) (/ (/ 1 (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (cbrt (+ (+ x t) y))))

simplify57.0ms

Algorithm

egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1013	3542
1	5001	3199

prune642.0ms

Pruning

17 alts after pruning (14 fresh and 3 done)

Merged error: 8.9b

regimes697.0ms

Accuracy

50.6% (9.4b remaining)

Error of 17.4b against oracle of 8.1b and baseline of 27.0b

bsearch3.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	30
1	30	30

end0.0ms

sample621.0ms

Algorithm

intervals

Results

354.0ms	7994×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid