Details

sample23.0ms

Algorithm

intervals

Results

7.0ms

283×

body

valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
10.5b	(/ (* (- y z) t) (- a z))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

20.0ms	(+ x (/ (* (- y z) t) (- a z)))
22.0ms	(* (- y z) t)
26.0ms	(/ (* (- y z) t) (- a z))

series150.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ x (/ (* (- y z) t) (- a z)))
25.0ms	(* (- y z) t)
58.0ms	(/ (* (- y z) t) (- a z))

simplify41.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	326	368
1	1401	329
2	5001	329

prune172.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) t)
0.0b	(+ x (/ (- y z) (/ (- a z) t)))
8.8b	(/ (- y z) (/ (- a z) t))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
173×	`*-un-lft-identity`
171×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
42×	`distribute-lft-out--` `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×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

3 → 188

Calls

3 calls:

16.0ms	(/ (- a z) t)
57.0ms	(+ x (/ (- y z) (/ (- a z) t)))
30.0ms	(/ (- y z) (/ (- a z) t))

series178.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ (- a z) t)
68.0ms	(+ x (/ (- y z) (/ (- a z) t)))
86.0ms	(/ (- y z) (/ (- a z) t))

simplify79.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	779	1717
1	2986	1664
2	5001	1664

prune465.0ms

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	(+ x (* (/ (- y z) (- a z)) t))
1.5b	(* (/ (- y z) (- a z)) t)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
31×	`associate-l`
26×	`times-frac`
14×	`add-cube-cbrt`
10×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3--` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip--` `flip-+` `div-inv`

Counts

2 → 61

Calls

2 calls:

9.0ms	(+ x (* (/ (- y z) (- a z)) t))
46.0ms	(* (/ (- y z) (- a z)) t)

series152.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ x (* (/ (- y z) (- a z)) t))
88.0ms	(* (/ (- y z) (- a z)) t)

simplify102.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	310	399
1	929	370
2	4107	370
3	5001	370

prune158.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (/ (- y z) (- a z)) (/ 1 t)))
1.7b	(/ (/ (- y z) (- a z)) (/ 1 t))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

1041×	`times-frac`
662×	`*-un-lft-identity`
660×	`add-sqr-sqrt`
380×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
47×	`div-inv`
31×	`associate-/l*`
29×	`associate-/r/`
24×	`add-exp-log`
16×	`div-exp`
14×	`flip3--` `add-cbrt-cube` `flip--`
13×	`associate-/r*`
8×	`cbrt-undiv`
4×	`div-sub` `add-log-exp`
2×	`pow1` `rec-exp` `1-exp`
1×	`+-commutative` `associate-+r-` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `associate-/l/` `distribute-lft-out`

Counts

2 → 485

Calls

2 calls:

152.0ms	(+ x (/ (/ (- y z) (- a z)) (/ 1 t)))
47.0ms	(/ (/ (- y z) (- a z)) (/ 1 t))

series161.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(+ x (/ (/ (- y z) (- a z)) (/ 1 t)))
91.0ms	(/ (/ (- y z) (- a z)) (/ 1 t))

simplify102.0ms

Algorithm

egg-herbie

Counts

491 → 491

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	2103	6747
1	5001	6266

prune903.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes170.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample616.0ms

Algorithm

intervals

Results

251.0ms	8747×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5