Details

sample26.0ms

Algorithm

intervals

Results

9.0ms	337×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.8s

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:

1.2s	(* x (+ (+ (+ (+ y z) z) y) t))
437.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
28.0ms	(+ (+ y z) z)
119.0ms	(+ (+ (+ y z) z) y)

series144.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
56.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
22.0ms	(+ (+ y z) z)
29.0ms	(+ (+ (+ y z) z) y)

simplify50.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	374	480
1	1624	434
2	5001	419

prune197.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite656.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

479.0ms	(* x (+ (+ (+ y z) (+ y z)) t))
176.0ms	(+ (* x (+ (+ (+ y z) (+ y z)) t)) (* y 5.0))

series92.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* x (+ (+ (+ y z) (+ y z)) t))
53.0ms	(+ (* x (+ (+ (+ y z) (+ y z)) t)) (* y 5.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	246	330
1	1220	282
2	5001	282

prune114.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ (+ (+ y z) (+ y z)) t))) (cbrt (* x (+ (+ (+ y z) (+ y z)) t))))
2.1b	(cbrt (* x (+ (+ (+ y z) (+ y z)) t)))
2.1b	(cbrt (* x (+ (+ (+ y z) (+ y z)) t)))
2.1b	(cbrt (* x (+ (+ (+ y z) (+ y z)) t)))

rewrite378.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

41.0ms	(* (cbrt (* x (+ (+ (+ y z) (+ y z)) t))) (cbrt (* x (+ (+ (+ y z) (+ y z)) t))))
110.0ms	(cbrt (* x (+ (+ (+ y z) (+ y z)) t)))
111.0ms	(cbrt (* x (+ (+ (+ y z) (+ y z)) t)))
114.0ms	(cbrt (* x (+ (+ (+ y z) (+ y z)) t)))

series621.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (cbrt (* x (+ (+ (+ y z) (+ y z)) t))) (cbrt (* x (+ (+ (+ y z) (+ y z)) t))))
134.0ms	(cbrt (* x (+ (+ (+ y z) (+ y z)) t)))
141.0ms	(cbrt (* x (+ (+ (+ y z) (+ y z)) t)))
179.0ms	(cbrt (* x (+ (+ (+ y z) (+ y z)) t)))

simplify39.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	268	1036
1	1035	938
2	5001	870

prune317.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (+ (+ y z) (+ y z)) t)) (* y 5.0))
0.1b	(sqrt (+ (* x (+ (+ (+ y z) (+ y z)) t)) (* y 5.0)))
0.1b	(sqrt (+ (* x (+ (+ (+ y z) (+ y z)) t)) (* y 5.0)))
0.3b	(* (sqrt (+ (* x (+ (+ (+ y z) (+ y z)) t)) (* y 5.0))) (sqrt (+ (* x (+ (+ (+ y z) (+ y z)) t)) (* y 5.0))))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-+l+` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

172.0ms	(+ (* x (+ (+ (+ y z) (+ y z)) t)) (* y 5.0))
221.0ms	(sqrt (+ (* x (+ (+ (+ y z) (+ y z)) t)) (* y 5.0)))
221.0ms	(sqrt (+ (* x (+ (+ (+ y z) (+ y z)) t)) (* y 5.0)))
929.0ms	(* (sqrt (+ (* x (+ (+ (+ y z) (+ y z)) t)) (* y 5.0))) (sqrt (+ (* x (+ (+ (+ y z) (+ y z)) t)) (* y 5.0))))

series988.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (* x (+ (+ (+ y z) (+ y z)) t)) (* y 5.0))
444.0ms	(sqrt (+ (* x (+ (+ (+ y z) (+ y z)) t)) (* y 5.0)))
436.0ms	(sqrt (+ (* x (+ (+ (+ y z) (+ y z)) t)) (* y 5.0)))
54.0ms	(* (sqrt (+ (* x (+ (+ (+ y z) (+ y z)) t)) (* y 5.0))) (sqrt (+ (* x (+ (+ (+ y z) (+ y z)) t)) (* y 5.0))))

simplify61.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	330	1484
1	1399	1332
2	5003	1296

prune264.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes155.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample708.0ms

Algorithm

intervals

Results

308.0ms	10695×	body	80	valid
14.0ms	93×	body	1280	valid
11.0ms	106×	body	640	valid
4.0ms	55×	body	320	valid
2.0ms	29×	body	160	valid