Details

sample34.0ms

Algorithm

intervals

Results

12.0ms

267×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	6
1	58	6
2	107	6
3	188	6
4	364	6
5	722	6
6	1067	6
7	1452	6
8	1963	6
9	2143	6
10	2145	6
11	2145	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
10.0b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

239×	`*-un-lft-identity`
203×	`times-frac`
136×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
44×	`distribute-lft-out`
43×	`distribute-lft-out--`
23×	`difference-of-squares`
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` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `associate-/r/` `flip-+` `associate--r-`

Counts

3 → 192

Calls

3 calls:

66.0ms	(/ (+ (- t z) 1.0) a)
92.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
53.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series225.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (+ (- t z) 1.0) a)
76.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
110.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify82.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	707	1950
1	2629	1888
2	5001	1887

prune399.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b	(/ (- y z) (+ (- t z) 1.0))
1.3b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 114

Calls

3 calls:

5.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
46.0ms	(/ (- y z) (+ (- t z) 1.0))
96.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series227.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
45.0ms	(/ (- y z) (+ (- t z) 1.0))
108.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify52.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	436	882
1	1450	824
2	5001	823

prune231.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
0.0b	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
9.4b	(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

36.0ms	(/ a (+ (- t z) 1.0))
5.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
94.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ a (+ (- t z) 1.0))
78.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
63.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	408	686
1	1779	630
2	5001	630

prune213.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
0.0b	(- x (/ y (/ (+ (- t z) 1.0) a)))
5.1b	(/ y (/ (+ (- t z) 1.0) a))
8.4b	(/ z (/ (+ (- t z) 1.0) a))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

268×	`*-un-lft-identity`
252×	`times-frac`
135×	`add-sqr-sqrt`
126×	`add-cube-cbrt`
56×	`distribute-lft-out`
41×	`associate-/r*`
29×	`distribute-lft-out--`
16×	`add-exp-log` `add-cbrt-cube`
11×	`div-inv` `associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`add-log-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `difference-of-squares`
2×	`associate-/r/` `associate-/l/`
1×	`associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `div-sub` `flip--` `flip-+`

Counts

4 → 242

Calls

4 calls:

67.0ms	(/ (+ (- t z) 1.0) a)
75.0ms	(- x (/ y (/ (+ (- t z) 1.0) a)))
42.0ms	(/ y (/ (+ (- t z) 1.0) a))
40.0ms	(/ z (/ (+ (- t z) 1.0) a))

series317.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (+ (- t z) 1.0) a)
66.0ms	(- x (/ y (/ (+ (- t z) 1.0) a)))
113.0ms	(/ y (/ (+ (- t z) 1.0) a))
109.0ms	(/ z (/ (+ (- t z) 1.0) a))

simplify94.0ms

Algorithm

egg-herbie

Counts

254 → 254

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	763	2108
1	3250	2022
2	5001	2022

prune566.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample571.0ms

Algorithm

intervals

Results

255.0ms	8502×	body	80	valid
0.0ms	1×	body	640	valid