Details

sample22.0ms

Algorithm

intervals

Results

7.0ms

281×

body

valid

simplify52.0ms

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: 13.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
13.6b	(/ (* (- y z) t) (- a z))

rewrite69.0ms

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)))
25.0ms	(* (- y z) t)
23.0ms	(/ (* (- y z) t) (- a z))

series156.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ x (/ (* (- y z) t) (- a z)))
26.0ms	(* (- y z) t)
60.0ms	(/ (* (- y z) t) (- a z))

simplify45.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (10.0ms)

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

prune168.0ms

Pruning

8 alts after pruning (8 fresh and 0 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)))
10.5b	(/ (- y z) (/ (- a z) t))

rewrite114.0ms

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))

series179.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ (- a z) t)
68.0ms	(+ x (/ (- y z) (/ (- a z) t)))
88.0ms	(/ (- y z) (/ (- a z) t))

simplify78.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 1 (19.0ms)

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

prune441.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

7.0ms	(+ x (* (/ (- y z) (- a z)) t))
22.0ms	(/ (- y z) (- a z))
47.0ms	(* (/ (- y z) (- a z)) t)

series210.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(+ x (* (/ (- y z) (- a z)) t))
49.0ms	(/ (- y z) (- a z))
90.0ms	(* (/ (- y z) (- a z)) t)

simplify49.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	432	753
1	1363	710
2	5001	709

prune276.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a z) t)
0.0b	(+ x (/ 1 (/ (/ (- a z) t) (- y z))))
0.2b	(/ 1 (/ (/ (- a z) t) (- y z)))
10.5b	(/ (/ (- a z) t) (- y z))

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

1183×	`times-frac`
809×	`*-un-lft-identity`
806×	`add-sqr-sqrt`
450×	`add-cube-cbrt`
178×	`distribute-lft-out--` `difference-of-squares`
109×	`associate-/r*`
34×	`div-inv`
32×	`add-exp-log`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
11×	`associate-/r/`
10×	`cbrt-undiv`
6×	`flip3--` `flip--` `add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 620

Calls

4 calls:

17.0ms	(/ (- a z) t)
135.0ms	(+ x (/ 1 (/ (/ (- a z) t) (- y z))))
46.0ms	(/ 1 (/ (/ (- a z) t) (- y z)))
28.0ms	(/ (/ (- a z) t) (- y z))

series389.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (- a z) t)
154.0ms	(+ x (/ 1 (/ (/ (- a z) t) (- y z))))
153.0ms	(/ 1 (/ (/ (- a z) t) (- y z)))
58.0ms	(/ (/ (- a z) t) (- y z))

simplify109.0ms

Algorithm

egg-herbie

Counts

632 → 632

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1756	7476
1	5001	6374

prune977.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes138.0ms

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

sample603.0ms

Algorithm

intervals

Results

251.0ms	8662×	body	80	valid
0.0ms	1×	body	2560	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