Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

280×

body

valid

simplify54.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
13.7b	(/ (* y (- z t)) (- z a))

rewrite25.0ms

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:

7.0ms	(+ x (/ (* y (- z t)) (- z a)))
6.0ms	(* y (- z t))
10.0ms	(/ (* y (- z t)) (- z a))

series171.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (/ (* y (- z t)) (- z a)))
34.0ms	(* y (- z t))
64.0ms	(/ (* y (- z t)) (- z a))

simplify40.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (9.0ms)

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

prune161.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
2.5b	(/ y (/ (- z a) (- z t)))

rewrite62.0ms

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:

30.0ms	(+ x (/ y (/ (- z a) (- z t))))
8.0ms	(/ (- z a) (- z t))
12.0ms	(/ y (/ (- z a) (- z t)))

series238.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+ x (/ y (/ (- z a) (- z t))))
44.0ms	(/ (- z a) (- z t))
115.0ms	(/ y (/ (- z a) (- z t)))

simplify74.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (56.0ms)

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

prune493.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.2b	(/ (* (cbrt y) (cbrt y)) (/ (/ (- z a) (- z t)) (cbrt y)))
1.7b	(/ (/ (- z a) (- z t)) (cbrt y))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

1223×	`times-frac`
785×	`add-sqr-sqrt` `*-un-lft-identity`
405×	`add-cube-cbrt`
288×	`cbrt-prod`
196×	`associate-/r*`
190×	`distribute-lft-out--` `difference-of-squares`
39×	`associate-/r/`
32×	`associate-/l*`
30×	`add-exp-log`
23×	`div-inv`
19×	`flip3--` `flip--`
18×	`add-cbrt-cube`
15×	`cbrt-undiv` `div-exp`
4×	`pow1` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`frac-2neg` `pow1/3` `div-sub` `clear-num`
1×	`associate-/l/`

Counts

4 → 665

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
36.0ms	(/ (* (cbrt y) (cbrt y)) (/ (/ (- z a) (- z t)) (cbrt y)))
18.0ms	(/ (/ (- z a) (- z t)) (cbrt y))

series676.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt y)
174.0ms	(cbrt y)
138.0ms	(/ (* (cbrt y) (cbrt y)) (/ (/ (- z a) (- z t)) (cbrt y)))
185.0ms	(/ (/ (- z a) (- z t)) (cbrt y))

simplify113.0ms

Algorithm

egg-herbie

Counts

677 → 677

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1915	9160
1	5002	8665

prune2.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- z a))
0.0b	(+ x (* (/ y (- z a)) (- z t)))
9.4b	(* (/ y (- z a)) (- z t))

rewrite29.0ms

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:

5.0ms	(/ y (- z a))
3.0ms	(+ x (* (/ y (- z a)) (- z t)))
16.0ms	(* (/ y (- z a)) (- z t))

series222.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ y (- z a))
81.0ms	(+ x (* (/ y (- z a)) (- z t)))
113.0ms	(* (/ y (- z a)) (- z t))

simplify44.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (10.0ms)

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

prune255.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes182.0ms

Accuracy

23.6% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	18
1	25	18

end0.0ms

sample530.0ms

Algorithm

intervals

Results

273.0ms

8738×

body

valid