Details

sample31.0ms

Algorithm

intervals

Results

18.0ms

275×

body

valid

simplify81.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(/ (+ (- t z) 1.0) a)
9.6b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite131.0ms

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:

59.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
32.0ms	(/ (+ (- t z) 1.0) a)
29.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series241.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
31.0ms	(/ (+ (- t z) 1.0) a)
124.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify71.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (51.0ms)

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

prune429.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
4.0b	(/ (cbrt (- y z)) (/ (cbrt (+ (- t z) 1.0)) a))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

440×	`times-frac`
399×	`*-un-lft-identity`
295×	`cbrt-prod`
264×	`add-sqr-sqrt`
200×	`add-cube-cbrt`
59×	`distribute-lft-out--`
54×	`distribute-lft-out`
32×	`difference-of-squares`
28×	`associate-/r*`
10×	`div-inv`
9×	`add-exp-log`
8×	`cbrt-div` `associate-/l*`
6×	`add-cbrt-cube`
4×	`pow1` `flip3--` `flip--` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/r/`

Counts

4 → 322

Calls

4 calls:

2.0ms	(cbrt (- y z))
2.0ms	(cbrt (- y z))
2.0ms	(cbrt (- y z))
35.0ms	(/ (cbrt (- y z)) (/ (cbrt (+ (- t z) 1.0)) a))

series737.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (- y z))
150.0ms	(cbrt (- y z))
145.0ms	(cbrt (- y z))
298.0ms	(/ (cbrt (- y z)) (/ (cbrt (+ (- t z) 1.0)) a))

simplify105.0ms

Algorithm

egg-herbie

Counts

334 → 334

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	945	4900
1	3607	4786
2	5002	4582

prune961.0ms

Pruning

7 alts after pruning (5 fresh and 2 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))
2.4b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite81.0ms

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:

2.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
22.0ms	(/ (- y z) (+ (- t z) 1.0))
52.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series253.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
47.0ms	(/ (- y z) (+ (- t z) 1.0))
121.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify47.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (36.0ms)

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

prune256.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- y z)) (cbrt (- y z)))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

19.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
2.0ms	(cbrt (- y z))
2.0ms	(cbrt (- y z))
2.0ms	(cbrt (- y z))

series608.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
162.0ms	(cbrt (- y z))
145.0ms	(cbrt (- y z))
144.0ms	(cbrt (- y z))

simplify153.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (145.0ms)

Iter	Nodes	Cost
0	261	760
1	914	723
2	4493	670
3	5001	660

prune395.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes231.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	22
1	21	22

end0.0ms

sample787.0ms

Algorithm

intervals

Results

537.0ms	8470×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid