Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

275×

body

valid

simplify79.0ms

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: 1.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
11.1b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

236×	`*-un-lft-identity`
200×	`times-frac`
126×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
44×	`distribute-lft-out`
42×	`distribute-lft-out--`
22×	`associate-/r*`
20×	`difference-of-squares`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `frac-2neg` `div-sub` `clear-num` `add-log-exp`
1×	`associate-+l-` `flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+`

Counts

2 → 175

Calls

2 calls:

70.0ms	(/ (+ (- t z) 1.0) a)
55.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series146.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (+ (- t z) 1.0) a)
114.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify65.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	629	1758
1	2423	1698
2	5003	1697

prune383.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (+ (- t z) 1.0))
1.1b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

49.0ms	(/ (- y z) (+ (- t z) 1.0))
98.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series162.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- y z) (+ (- t z) 1.0))
117.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify42.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	377	755
1	1255	699
2	5002	697

prune229.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (+ (- t z) 1.0))
1.2b	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

1066×	`times-frac`
924×	`*-un-lft-identity`
544×	`add-sqr-sqrt`
392×	`add-cube-cbrt`
152×	`distribute-lft-out` `distribute-lft-out--`
76×	`difference-of-squares`
48×	`div-inv`
36×	`associate-/l*`
31×	`associate-/r/`
26×	`add-exp-log`
18×	`associate-/r*`
17×	`div-exp`
16×	`add-cbrt-cube`
15×	`flip3-+` `flip-+`
9×	`cbrt-undiv`
3×	`div-sub` `associate-/l/`
2×	`pow1` `rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`flip3--` `flip--`

Counts

2 → 524

Calls

2 calls:

49.0ms	(/ (- y z) (+ (- t z) 1.0))
85.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series156.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (- y z) (+ (- t z) 1.0))
112.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify106.0ms

Algorithm

egg-herbie

Counts

530 → 530

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1829	7402
1	5001	6880

prune858.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (- y z) (+ (- t z) 1.0))) (cbrt (/ (- y z) (+ (- t z) 1.0))))
3.1b	(cbrt (/ (- y z) (+ (- t z) 1.0)))
3.1b	(cbrt (/ (- y z) (+ (- t z) 1.0)))
3.1b	(cbrt (/ (- y z) (+ (- t z) 1.0)))

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

624×	`*-un-lft-identity`
333×	`cbrt-prod`
285×	`times-frac`
219×	`add-sqr-sqrt`
136×	`distribute-lft-out--`
134×	`distribute-lft-out`
101×	`add-cube-cbrt`
86×	`swap-sqr`
47×	`difference-of-squares`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 304

Calls

4 calls:

205.0ms	(* (cbrt (/ (- y z) (+ (- t z) 1.0))) (cbrt (/ (- y z) (+ (- t z) 1.0))))
22.0ms	(cbrt (/ (- y z) (+ (- t z) 1.0)))
25.0ms	(cbrt (/ (- y z) (+ (- t z) 1.0)))
23.0ms	(cbrt (/ (- y z) (+ (- t z) 1.0)))

series469.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (cbrt (/ (- y z) (+ (- t z) 1.0))) (cbrt (/ (- y z) (+ (- t z) 1.0))))
115.0ms	(cbrt (/ (- y z) (+ (- t z) 1.0)))
116.0ms	(cbrt (/ (- y z) (+ (- t z) 1.0)))
118.0ms	(cbrt (/ (- y z) (+ (- t z) 1.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	532	4707
1	1620	4626
2	5001	4224

prune766.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample611.0ms

Algorithm

intervals

Results

250.0ms	8485×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid