Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify104.0ms

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: 26.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.1b	(+ (* (+ x y) z) (* (+ t y) a))
2.1b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.0b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite42.0ms

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

series754.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (+ t y) a)
46.0ms	(+ (* (+ x y) z) (* (+ t y) a))
98.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
585.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (15.0ms)

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

prune333.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.1b	(+ (* (+ x y) z) (* (+ t y) a))
9.0b	(/ (* y b) (+ (+ x t) y))
23.4b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite40.0ms

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:

9.0ms	(* (+ t y) a)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
8.0ms	(/ (* y b) (+ (+ x t) y))
13.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series346.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (+ t y) a)
43.0ms	(+ (* (+ x y) z) (* (+ t y) a))
69.0ms	(/ (* y b) (+ (+ x t) y))
209.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (14.0ms)

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

prune340.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ b (+ (+ x t) y))
1.1b	(+ (* (+ x y) z) (* (+ t y) a))
8.3b	(* y (/ b (+ (+ x t) y)))
23.4b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite42.0ms

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-r`
16×	`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-l` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-r/` `pow-prod-down` `sum-log` `-commutative`

Counts

4 → 135

Calls

4 calls:

7.0ms	(/ b (+ (+ x t) y))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
11.0ms	(* y (/ b (+ (+ x t) y)))
13.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series356.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ b (+ (+ x t) y))
48.0ms	(+ (* (+ x y) z) (* (+ t y) a))
66.0ms	(* y (/ b (+ (+ x t) y)))
207.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify74.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	549	1202
1	2705	1118
2	5001	1118

prune409.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (+ (* (+ x y) z) (* (+ t y) a))))
1.1b	(+ (* (+ x y) z) (* (+ t y) a))
8.3b	(* y (/ b (+ (+ x t) y)))
23.5b	(/ (+ (+ x t) y) (+ (* (+ x y) z) (* (+ t y) a)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

181×	`*-un-lft-identity`
166×	`times-frac`
91×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
57×	`distribute-lft-out`
48×	`associate-*l/`
33×	`associate-/r/`
32×	`flip3-+` `flip-+`
28×	`associate-/r*`
24×	`frac-add`
22×	`add-exp-log`
21×	`associate-r`
16×	`add-cbrt-cube`
9×	`div-exp`
8×	`associate-/l*`
7×	`pow1` `div-inv`
6×	`add-log-exp`
5×	`cbrt-undiv`
3×	`associate-l`
2×	`rec-exp` `frac-2neg` `1-exp` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `pow-flip` `associate-r/` `pow-prod-down` `sum-log` `-commutative` `inv-pow`

Counts

4 → 222

Calls

4 calls:

16.0ms	(/ 1 (/ (+ (+ x t) y) (+ (* (+ x y) z) (* (+ t y) a))))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
11.0ms	(* y (/ b (+ (+ x t) y)))
16.0ms	(/ (+ (+ x t) y) (+ (* (+ x y) z) (* (+ t y) a)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(/ 1 (/ (+ (+ x t) y) (+ (* (+ x y) z) (* (+ t y) a))))
44.0ms	(+ (* (+ x y) z) (* (+ t y) a))
70.0ms	(* y (/ b (+ (+ x t) y)))
67.0ms	(/ (+ (+ x t) y) (+ (* (+ x y) z) (* (+ t y) a)))

simplify103.0ms

Algorithm

egg-herbie

Counts

234 → 234

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	851	3316
1	4341	3079
2	5001	2949

prune494.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.8b

regimes439.0ms

Accuracy

36% (11.0b remaining)

Error of 14.1b against oracle of 3.1b and baseline of 20.3b

bsearch112.0ms

Steps

Iters	Range		Point
9	10143254612676.482	6.489248303168098e+19	8.712766377130586e+17
8	-1.878324897001481e+62	-8.915797961682768e+57	-9.092415172017545e+57

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	28
1	43	28

end0.0ms

sample609.0ms

Algorithm

intervals

Results

347.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid