Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

278×

body

valid

simplify78.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 1.7b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
9.0b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite32.0ms

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:

8.0ms	(/ (+ (- t z) 1.0) a)
14.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series157.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (+ (- t z) 1.0) a)
122.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify70.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (50.0ms)

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

prune362.0ms

Filtered

181 candidates to 103 candidates (56.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	177	4	181
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	177	5	182

Merged error: 0b

Counts

182 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (+ (- t z) 1.0))
0.8b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite33.0ms

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)

series172.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- y z) (+ (- t z) 1.0))
122.0ms	(* (/ (- 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

prune303.0ms

Filtered

108 candidates to 64 candidates (59.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	109	4	113

Merged error: 0b

Counts

113 → 4

localize9.0ms

Local error

Found 1 expressions with local error:

8.6b	(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
21×	`associate-r`
18×	`add-sqr-sqrt`
16×	`times-frac`
11×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
5×	`associate-l`
4×	`distribute-lft-out--`
3×	`pow1`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `flip-+` `div-inv` `add-log-exp` `difference-of-squares`

Counts

1 → 46

Calls

1 calls:

16.0ms

(* (- y z) (/ a (+ (- t z) 1.0)))

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

(* (- y z) (/ a (+ (- t z) 1.0)))

simplify39.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	308	330
1	1355	294
2	5002	293

prune103.0ms

Filtered

49 candidates to 32 candidates (65.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	49	4	53

Merged error: 0b

Counts

53 → 4

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
5×	`times-frac` `associate-/r*`
4×	`distribute-lft-out`
3×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `associate-/r/` `associate-/l/` `distribute-lft-out--`
1×	`pow1` `flip3--` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

12.0ms

(/ (* (- y z) a) (+ (- t z) 1.0))

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(/ (* (- y z) a) (+ (- t z) 1.0))

simplify31.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	229	214
1	998	178
2	5001	177

prune64.0ms

Filtered

32 candidates to 20 candidates (62.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	32	4	36

Merged error: 0b

Counts

36 → 4

regimes152.0ms

Accuracy

0% (0.3b 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

sample525.0ms

Algorithm

intervals

Results

277.0ms

8486×

body

valid