Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

274×

body

valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
9.1b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite34.0ms

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:

11.0ms	(/ (+ (- t z) 1.0) a)
13.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series171.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (+ (- t z) 1.0) a)
137.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify67.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (49.0ms)

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

prune359.0ms

Filtered

181 candidates to 103 candidates (56.9%)

Pruning

5 alts after pruning (5 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))
0.4b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite29.0ms

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:

10.0ms	(/ (- y z) (+ (- t z) 1.0))
15.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series179.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- y z) (+ (- t z) 1.0))
130.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify40.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (31.0ms)

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

prune222.0ms

Filtered

108 candidates to 64 candidates (59.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
8.7b	(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 83

Calls

2 calls:

8.0ms	(/ a (+ (- t z) 1.0))
16.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ a (+ (- t z) 1.0))
75.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	342	553
1	1536	501
2	5001	500

prune206.0ms

Filtered

89 candidates to 59 candidates (66.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

4.1b	(/ (- y z) (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a))))
13.6b	(cbrt (/ (+ (- t z) 1.0) a))
13.6b	(cbrt (/ (+ (- t z) 1.0) a))
13.6b	(cbrt (/ (+ (- t z) 1.0) a))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
57×	`cbrt-prod`
50×	`times-frac`
37×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
18×	`distribute-lft-out`
11×	`distribute-lft-out--`
9×	`add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
5×	`associate-/l*`
4×	`pow1` `div-inv` `add-log-exp`
3×	`pow1/3` `associate-/r/`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `difference-of-squares`
1×	`frac-times` `flip3--` `frac-2neg` `div-sub` `associate-r/` `associate-l/` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod`

Counts

4 → 115

Calls

4 calls:

20.0ms	(/ (- y z) (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a))))
7.0ms	(cbrt (/ (+ (- t z) 1.0) a))
7.0ms	(cbrt (/ (+ (- t z) 1.0) a))
7.0ms	(cbrt (/ (+ (- t z) 1.0) a))

series707.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(/ (- y z) (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a))))
165.0ms	(cbrt (/ (+ (- t z) 1.0) a))
164.0ms	(cbrt (/ (+ (- t z) 1.0) a))
154.0ms	(cbrt (/ (+ (- t z) 1.0) a))

simplify119.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	459	1509
1	1273	1403
2	4724	1323
3	5001	1323

prune407.0ms

Filtered

127 candidates to 95 candidates (74.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes127.0ms

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

sample549.0ms

Algorithm

intervals

Results

283.0ms	8447×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid