Details

sample25.0ms

Algorithm

intervals

Results

7.0ms	227×	body	80	valid
2.0ms	17×	body	640	valid
2.0ms	12×	body	1280	valid
1.0ms	13×	body	320	valid
0.0ms	7×	body	160	valid

simplify135.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
2.1b	(- (+ x y) (/ (* (- z t) y) (- a t)))
11.2b	(/ (* (- z t) y) (- a t))

rewrite29.0ms

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:

6.0ms	(* (- z t) y)
12.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
9.0ms	(/ (* (- z t) y) (- a t))

series198.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (- z t) y)
110.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
59.0ms	(/ (* (- z t) y) (- a t))

simplify48.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (10.0ms)

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

prune205.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
3.5b	(- (+ x y) (/ (- z t) (/ (- a t) y)))
10.6b	(/ (- z t) (/ (- a t) y))

rewrite66.0ms

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:

6.0ms	(/ (- a t) y)
38.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
11.0ms	(/ (- z t) (/ (- a t) y))

series237.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (- a t) y)
110.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
99.0ms	(/ (- z t) (/ (- a t) y))

simplify90.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 1 (20.0ms)

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

prune530.0ms

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)
5.3b	(- y (/ (- z t) (/ (- a t) y)))
10.6b	(/ (- z t) (/ (- a t) y))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 193

Calls

3 calls:

6.0ms	(/ (- a t) y)
33.0ms	(- y (/ (- z t) (/ (- a t) y)))
12.0ms	(/ (- z t) (/ (- a t) y))

series210.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (- a t) y)
83.0ms	(- y (/ (- z t) (/ (- a t) y)))
101.0ms	(/ (- z t) (/ (- a t) y))

simplify92.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	773	1773
1	2975	1720
2	5001	1720

prune534.0ms

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	(/ (- z t) (- a t))
1.3b	(* y (- 1 (/ (- z t) (- a t))))
3.5b	(- 1 (/ (- z t) (- a t)))

rewrite51.0ms

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:

8.0ms	(/ (- z t) (- a t))
23.0ms	(* y (- 1 (/ (- z t) (- a t))))
15.0ms	(- 1 (/ (- z t) (- a t)))

series220.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (- z t) (- a t))
106.0ms	(* y (- 1 (/ (- z t) (- a t))))
66.0ms	(- 1 (/ (- z t) (- a t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (12.0ms)

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

prune273.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.1b

regimes250.0ms

Accuracy

20.5% (3.6b remaining)

Error of 6.8b against oracle of 3.2b and baseline of 7.7b

bsearch76.0ms

Steps

Iters	Range		Point
8	7.180614432832958e-171	1.7757010330167916e-166	2.8818750144483414e-168
5	-1.2289287346779286e-171	-4.3080718389378526e-172	-8.734601441620599e-172

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	29
1	36	29

end0.0ms

sample674.0ms

Algorithm

intervals

Results

260.0ms	7298×	body	80	valid
54.0ms	442×	body	640	valid
40.0ms	263×	body	1280	valid
38.0ms	415×	body	320	valid
17.0ms	266×	body	160	valid
3.0ms	17×	body	2560	valid