Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

284×

body

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	58	5
3	101	5
4	145	5
5	178	5
6	204	5
7	264	5
8	352	5
9	441	5
10	707	5
11	906	5
12	1022	5
13	1044	5
14	1044	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
10.3b	(/ (* y (- z t)) (- z a))

rewrite31.0ms

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-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `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 → 67

Calls

3 calls:

10.0ms	(+ x (/ (* y (- z t)) (- z a)))
10.0ms	(* y (- z t))
9.0ms	(/ (* y (- z t)) (- z a))

series181.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ x (/ (* y (- z t)) (- z a)))
36.0ms	(* y (- z t))
67.0ms	(/ (* y (- z t)) (- z a))

simplify46.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	337	381
1	1443	342
2	5002	342

prune183.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
2.8b	(/ y (/ (- z a) (- z t)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

44.0ms	(+ x (/ y (/ (- z a) (- z t))))
11.0ms	(/ (- z a) (- z t))
14.0ms	(/ y (/ (- z a) (- z t)))

series242.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+ x (/ y (/ (- z a) (- z t))))
47.0ms	(/ (- z a) (- z t))
114.0ms	(/ y (/ (- z a) (- z t)))

simplify75.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	702	1885
1	3069	1832
2	5002	1829

prune517.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
0.0b	(/ (- z a) (- z t))
0.3b	(/ 1 (/ (/ (- z a) (- z t)) y))
2.8b	(/ (/ (- z a) (- z t)) y)

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
797×	`*-un-lft-identity`
794×	`add-sqr-sqrt`
450×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
32×	`add-exp-log`
24×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`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 → 624

Calls

4 calls:

110.0ms	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
10.0ms	(/ (- z a) (- z t))
33.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
20.0ms	(/ (/ (- z a) (- z t)) y)

series392.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
46.0ms	(/ (- z a) (- z t))
194.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
81.0ms	(/ (/ (- z a) (- z t)) y)

simplify311.0ms

Algorithm

egg-herbie

Counts

636 → 636

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1829	7506
1	5002	6288

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ y (- z a)) (- z t)))
0.0b	(/ y (- z a))
10.0b	(* (/ y (- z a)) (- z t))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

3.0ms	(+ x (* (/ y (- z a)) (- z t)))
5.0ms	(/ y (- z a))
26.0ms	(* (/ y (- z a)) (- z t))

series223.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ x (* (/ y (- z a)) (- z t)))
28.0ms	(/ y (- z a))
113.0ms	(* (/ y (- z a)) (- z t))

simplify46.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	416	613
1	1659	573
2	5001	573

prune259.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample532.0ms

Algorithm

intervals

Results

275.0ms	8735×	body	80	valid
0.0ms	2×	body	1280	valid