Details

sample23.0ms

Algorithm

intervals

Results

7.0ms	236×	body	80	valid
2.0ms	14×	body	640	valid
1.0ms	8×	body	1280	valid
1.0ms	10×	body	320	valid
0.0ms	7×	body	160	valid

simplify120.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	6
1	52	6
2	109	6
3	195	6
4	445	6
5	828	6
6	1434	6
7	2520	6
8	4830	6
9	5001	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
2.1b	(- (+ x y) (/ (* (- z t) y) (- a t)))
12.8b	(/ (* (- z t) y) (- a t))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

13.0ms	(* (- z t) y)
26.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
9.0ms	(/ (* (- z t) y) (- a t))

series203.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (- z t) y)
113.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
61.0ms	(/ (* (- z t) y) (- a t))

simplify47.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	383	461
1	1704	422
2	5001	422

prune200.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
2.6b	(- (+ x y) (/ (- z t) (/ (- a t) y)))
9.3b	(/ (- z t) (/ (- a t) y))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac`
180×	`add-sqr-sqrt`
176×	`*-un-lft-identity`
87×	`add-cube-cbrt`
45×	`difference-of-squares`
44×	`distribute-lft-out--`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `flip3--` `div-sub` `flip--`
2×	`frac-2neg` `diff-log` `clear-num` `frac-sub`
1×	`sub-neg` `flip3-+` `associate--l+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out` `associate--r-`

Counts

3 → 197

Calls

3 calls:

7.0ms	(/ (- a t) y)
61.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
15.0ms	(/ (- z t) (/ (- a t) y))

series245.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (- a t) y)
114.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
105.0ms	(/ (- z t) (/ (- a t) y))

simplify78.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	853	1851
1	3326	1798
2	5001	1798

prune525.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.1b	(/ (/ (- z t) (- a t)) (/ 1 y))
3.6b	(- (+ x y) (/ (/ (- z t) (- a t)) (/ 1 y)))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

1079×	`times-frac`
722×	`add-sqr-sqrt`
704×	`*-un-lft-identity`
393×	`add-cube-cbrt`
159×	`difference-of-squares`
154×	`distribute-lft-out--`
48×	`div-inv`
36×	`associate-/l*`
31×	`associate-/r/`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`flip3--` `div-exp` `add-cbrt-cube` `flip--`
9×	`cbrt-undiv`
8×	`add-log-exp`
5×	`div-sub`
3×	`pow1` `associate-/l/`
2×	`rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `frac-sub`
1×	`sub-neg` `flip3-+` `associate--l+` `sum-log` `flip-+` `distribute-lft-out` `associate--r-`

Counts

3 → 550

Calls

3 calls:

11.0ms	(/ (- z t) (- a t))
28.0ms	(/ (/ (- z t) (- a t)) (/ 1 y))
155.0ms	(- (+ x y) (/ (/ (- z t) (- a t)) (/ 1 y)))

series265.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (- z t) (- a t))
99.0ms	(/ (/ (- z t) (- a t)) (/ 1 y))
114.0ms	(- (+ x y) (/ (/ (- z t) (- a t)) (/ 1 y)))

simplify303.0ms

Algorithm

egg-herbie

Counts

559 → 559

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	2258	7333
1	5001	6829

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.6b	(* y (- 1 (/ (- z t) (- a t))))
3.7b	(- 1 (/ (- z t) (- a t)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
29×	`times-frac`
20×	`difference-of-squares`
17×	`add-cube-cbrt`
14×	`distribute-lft-out--`
8×	`associate-r`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`flip3--` `div-sub` `flip--`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `associate--r-`
2×	`associate-*r/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 101

Calls

3 calls:

12.0ms	(/ (- z t) (- a t))
116.0ms	(* y (- 1 (/ (- z t) (- a t))))
31.0ms	(- 1 (/ (- z t) (- a t)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (- z t) (- a t))
98.0ms	(* y (- 1 (/ (- z t) (- a t))))
64.0ms	(- 1 (/ (- z t) (- a t)))

simplify44.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	386	711
1	1432	667
2	5001	667

prune258.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.6b

regimes230.0ms

Accuracy

11.7% (3.9b remaining)

Error of 7.0b against oracle of 3.1b and baseline of 7.5b

bsearch76.0ms

Steps

Iters	Range		Point
3	1.1210601147720111e-123	1.4722642668464308e-123	1.3625129693231746e-123
11	-1.8256840307226821e-214	-2.4031574543311614e-235	-5.3848255123306305e-225

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	17
1	36	17

end0.0ms

sample651.0ms

Algorithm

intervals

Results

237.0ms	7297×	body	80	valid
52.0ms	456×	body	640	valid
39.0ms	419×	body	320	valid
37.0ms	257×	body	1280	valid
16.0ms	276×	body	160	valid
4.0ms	22×	body	2560	valid