Details

sample28.0ms

Algorithm

intervals

Results

16.0ms

280×

body

valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 10.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
11.4b	(/ (* (- y z) t) (- a z))

rewrite32.0ms

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:

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

series161.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(+ x (/ (* (- y z) t) (- a z)))
26.0ms	(* (- y z) t)
63.0ms	(/ (* (- y z) t) (- a z))

simplify39.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (9.0ms)

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

prune163.0ms

Pruning

6 alts after pruning (5 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))

rewrite78.0ms

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:

7.0ms	(/ (- a z) t)
44.0ms	(+ x (/ (- y z) (/ (- a z) t)))
15.0ms	(/ (- y z) (/ (- a z) t))

series193.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (- a z) t)
74.0ms	(+ x (/ (- y z) (/ (- a z) t)))
93.0ms	(/ (- y z) (/ (- a z) t))

simplify72.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 1 (16.0ms)

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

prune445.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
2.8b	(/ (cbrt (- y z)) (/ (cbrt (- a z)) t))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

440×	`times-frac`
318×	`add-sqr-sqrt` `*-un-lft-identity`
295×	`cbrt-prod`
200×	`add-cube-cbrt`
59×	`distribute-lft-out--` `difference-of-squares`
28×	`associate-/r*`
10×	`div-inv`
9×	`add-exp-log`
8×	`cbrt-div` `associate-/l*`
6×	`add-cbrt-cube`
4×	`pow1` `flip3--` `flip--` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/r/`

Counts

4 → 322

Calls

4 calls:

2.0ms	(cbrt (- a z))
2.0ms	(cbrt (- a z))
2.0ms	(cbrt (- a z))
20.0ms	(/ (cbrt (- y z)) (/ (cbrt (- a z)) t))

series1.4s

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (- a z))
141.0ms	(cbrt (- a z))
149.0ms	(cbrt (- a z))
1000.0ms	(/ (cbrt (- y z)) (/ (cbrt (- a z)) t))

simplify120.0ms

Algorithm

egg-herbie

Counts

334 → 334

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	1027	4535
1	3975	4445
2	5002	4273

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 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))
2.5b	(* (/ (- y z) (- a z)) t)

rewrite48.0ms

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:

2.0ms	(+ x (* (/ (- y z) (- a z)) t))
11.0ms	(/ (- y z) (- a z))
25.0ms	(* (/ (- y z) (- a z)) t)

series212.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ x (* (/ (- y z) (- a z)) t))
45.0ms	(/ (- y z) (- a z))
93.0ms	(* (/ (- y z) (- a z)) t)

simplify43.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (34.0ms)

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

prune259.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes172.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	18	19

end0.0ms

sample779.0ms

Algorithm

intervals

Results

514.0ms	8707×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	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