Details

sample25.0ms

Algorithm

intervals

Results

11.0ms	368×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	7
1	86	7
2	283	7
3	742	7
4	1197	7
5	1273	7
6	1273	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.0b	(+ (+ y z) z)
0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(+ (+ (+ y z) z) y)

rewrite947.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

635.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
13.0ms	(+ (+ y z) z)
232.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
64.0ms	(+ (+ (+ y z) z) y)

series157.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
28.0ms	(+ (+ y z) z)
56.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
34.0ms	(+ (+ (+ y z) z) y)

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	374	480
1	1624	434
2	5003	419

prune186.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ (* 2 (+ z y)) t) x)
0.0b	(+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

25.0ms	(* (+ (* 2 (+ z y)) t) x)
6.0ms	(+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0))

series84.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (+ (* 2 (+ z y)) t) x)
51.0ms	(+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0))

simplify38.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	221	277
1	1030	242
2	5001	238

prune103.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0))) (cbrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0))))
0.5b	(cbrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0)))
0.5b	(cbrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0)))
0.5b	(cbrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

35.0ms	(* (cbrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0))) (cbrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0))))
4.0ms	(cbrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0)))
5.0ms	(cbrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0)))
4.0ms	(cbrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0)))

series981.0ms

Counts

4 → 12

Calls

4 calls:

298.0ms	(* (cbrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0))) (cbrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0))))
229.0ms	(cbrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0)))
224.0ms	(cbrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0)))
229.0ms	(cbrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	350	1870
1	1228	1748
2	5001	1626

prune372.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0)))
0.5b	(cbrt (- (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0)))
4.2b	(- (* (pow (* (+ (* 2 (+ z y)) t) x) 1) (pow (* (+ (* 2 (+ z y)) t) x) 1)) (* (* y 5.0) (* y 5.0)))
29.9b	(cbrt (- (* (pow (* (+ (* 2 (+ z y)) t) x) 1) (pow (* (+ (* 2 (+ z y)) t) x) 1)) (* (* y 5.0) (* y 5.0))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--`
2×	`difference-of-squares`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 53

Calls

4 calls:

4.0ms	(cbrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0)))
6.0ms	(cbrt (- (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0)))
22.0ms	(- (* (pow (* (+ (* 2 (+ z y)) t) x) 1) (pow (* (+ (* 2 (+ z y)) t) x) 1)) (* (* y 5.0) (* y 5.0)))
19.0ms	(cbrt (- (* (pow (* (+ (* 2 (+ z y)) t) x) 1) (pow (* (+ (* 2 (+ z y)) t) x) 1)) (* (* y 5.0) (* y 5.0))))

series1.0s

Counts

4 → 12

Calls

4 calls:

231.0ms	(cbrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0)))
227.0ms	(cbrt (- (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0)))
258.0ms	(- (* (pow (* (+ (* 2 (+ z y)) t) x) 1) (pow (* (+ (* 2 (+ z y)) t) x) 1)) (* (* y 5.0) (* y 5.0)))
313.0ms	(cbrt (- (* (pow (* (+ (* 2 (+ z y)) t) x) 1) (pow (* (+ (* 2 (+ z y)) t) x) 1)) (* (* y 5.0) (* y 5.0))))

simplify58.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	403	1230
1	1413	1097
2	5001	1073

prune349.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes115.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	6
1	22	6

end0.0ms

sample634.0ms

Algorithm

intervals

Results

336.0ms	10815×	body	80	valid
12.0ms	88×	body	1280	valid
11.0ms	94×	body	640	valid
4.0ms	43×	body	320	valid
2.0ms	42×	body	160	valid