Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

271×

body

valid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	8
1	37	8
2	65	8
3	94	8
4	108	8
5	132	8
6	201	8
7	359	8
8	825	8
9	3212	8
10	5001	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(+ y (* z (- b y)))
0.5b	(+ (* x y) (* z (- t a)))
23.8b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-exp-log` `associate-+r+` `add-cbrt-cube` `add-log-exp`
6×	`pow1` `distribute-rgt-in` `sub-neg` `distribute-lft-in`
5×	`associate-r`
4×	`flip3-+` `flip-+`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

20.0ms	(* z (- b y))
7.0ms	(+ y (* z (- b y)))
11.0ms	(+ (* x y) (* z (- t a)))
31.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series444.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* z (- b y))
30.0ms	(+ y (* z (- b y)))
44.0ms	(+ (* x y) (* z (- t a)))
331.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify44.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	353	708
1	1481	648
2	5001	648

prune253.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 24.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* b z))
0.5b	(+ (+ y (* b z)) (* (- y) z))
0.5b	(+ (* x y) (* z (- t a)))
23.8b	(/ (+ (* x y) (* z (- t a))) (+ (+ y (* b z)) (* (- y) z)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `sum-log` `flip-+`
4×	`pow1` `associate-+r+`
3×	`+-commutative` `associate-/r` `associate-/l`
2×	`distribute-lft-neg-out` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `associate-+l+` `frac-2neg` `div-exp` `unsub-neg` `clear-num` `div-inv`

Counts

4 → 72

Calls

4 calls:

5.0ms	(+ y (* b z))
23.0ms	(+ (+ y (* b z)) (* (- y) z))
9.0ms	(+ (* x y) (* z (- t a)))
50.0ms	(/ (+ (* x y) (* z (- t a))) (+ (+ y (* b z)) (* (- y) z)))

series442.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (* b z))
30.0ms	(+ (+ y (* b z)) (* (- y) z))
47.0ms	(+ (* x y) (* z (- t a)))
339.0ms	(/ (+ (* x y) (* z (- t a))) (+ (+ y (* b z)) (* (- y) z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	356	787
1	1507	714
2	5001	707

prune326.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 24.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (- (+ (* z b) y) (* z y)) (+ (* x y) (* z (- t a)))))
0.5b	(- (+ (* z b) y) (* z y))
0.5b	(+ (* x y) (* z (- t a)))
23.8b	(/ (- (+ (* z b) y) (* z y)) (+ (* x y) (* z (- t a))))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
8×	`div-exp`
6×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `associate-+r+`
3×	`sub-neg`
2×	`distribute-rgt-in` `rec-exp` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `1-exp` `clear-num` `sum-log` `flip--` `associate-/l/`
1×	`+-commutative` `pow-flip` `div-sub` `associate--l+` `inv-pow`

Counts

4 → 145

Calls

4 calls:

48.0ms	(/ 1 (/ (- (+ (* z b) y) (* z y)) (+ (* x y) (* z (- t a)))))
43.0ms	(- (+ (* z b) y) (* z y))
9.0ms	(+ (* x y) (* z (- t a)))
87.0ms	(/ (- (+ (* z b) y) (* z y)) (+ (* x y) (* z (- t a))))

series665.0ms

Counts

4 → 12

Calls

4 calls:

476.0ms	(/ 1 (/ (- (+ (* z b) y) (* z y)) (+ (* x y) (* z (- t a)))))
34.0ms	(- (+ (* z b) y) (* z y))
48.0ms	(+ (* x y) (* z (- t a)))
107.0ms	(/ (- (+ (* z b) y) (* z y)) (+ (* x y) (* z (- t a))))

simplify73.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	556	2261
1	2636	2074
2	5001	1986

prune356.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 11.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (+ (* z b) y) (* z y))
0.5b	(+ (* x y) (* z (- t a)))
0.6b	(/ 1 (- (+ (* z b) y) (* z y)))
23.4b	(* (/ 1 (- (+ (* z b) y) (* z y))) (+ (* x y) (* z (- t a))))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
15×	`associate-l`
11×	`add-cbrt-cube` `add-log-exp`
7×	`pow1`
4×	`associate-+r+` `div-exp` `prod-exp` `associate-/r/`
3×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `associate-r` `associate-/r` `flip--` `flip-+` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `diff-log` `1-exp` `associate-*r/` `sum-log` `cbrt-unprod` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `pow-prod-down` `associate-l/` `associate--l+` `clear-num` `-commutative` `inv-pow`

Counts

4 → 105

Calls

4 calls:

44.0ms	(- (+ (* z b) y) (* z y))
9.0ms	(+ (* x y) (* z (- t a)))
46.0ms	(/ 1 (- (+ (* z b) y) (* z y)))
116.0ms	(* (/ 1 (- (+ (* z b) y) (* z y))) (+ (* x y) (* z (- t a))))

series627.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (+ (* z b) y) (* z y))
50.0ms	(+ (* x y) (* z (- t a)))
56.0ms	(/ 1 (- (+ (* z b) y) (* z y)))
493.0ms	(* (/ 1 (- (+ (* z b) y) (* z y))) (+ (* x y) (* z (- t a))))

simplify71.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	506	1099
1	2745	975
2	5003	955

prune276.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 11.2b

regimes298.0ms

Accuracy

33% (8.1b remaining)

Error of 18.9b against oracle of 10.8b and baseline of 22.8b

bsearch103.0ms

Steps

Iters	Range		Point
11	7.50002489248219e+113	1.7739205624069445e+133	1.2922297347570793e+133
6	-1.37139874092951e+77	-2.4806166659240804e+76	-5.5863937840112153e+76

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms

sample721.0ms

Algorithm

intervals

Results

325.0ms

8417×

body

valid