Details

sample37.0ms

Algorithm

intervals

Results

22.0ms	374×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid

simplify38.0ms

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

prune2.0ms

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

rewrite938.0ms

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:

230.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
14.0ms	(+ (+ y z) z)
61.0ms	(+ (+ (+ y z) z) y)
632.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

series153.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
28.0ms	(+ (+ y z) z)
30.0ms	(+ (+ (+ y z) z) y)
39.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify51.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (45.0ms)

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

prune189.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

11.0ms	(* (* 2 x) (+ y z))
48.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))
9.0ms	(+ (* (* 2 x) (+ y z)) (* x t))

series145.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (* 2 x) (+ y z))
59.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))
44.0ms	(+ (* (* 2 x) (+ y z)) (* x t))

simplify57.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	340	387
1	1791	357
2	5001	357

prune131.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ y z) z)) (cbrt (+ (+ y z) z)))
0.6b	(cbrt (+ (+ y z) z))
0.6b	(cbrt (+ (+ y z) z))
0.6b	(cbrt (+ (+ y z) z))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 105

Calls

4 calls:

71.0ms	(* (cbrt (+ (+ y z) z)) (cbrt (+ (+ y z) z)))
8.0ms	(cbrt (+ (+ y z) z))
9.0ms	(cbrt (+ (+ y z) z))
12.0ms	(cbrt (+ (+ y z) z))

series615.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(* (cbrt (+ (+ y z) z)) (cbrt (+ (+ y z) z)))
148.0ms	(cbrt (+ (+ y z) z))
144.0ms	(cbrt (+ (+ y z) z))
139.0ms	(cbrt (+ (+ y z) z))

simplify124.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	281	989
1	874	938
2	4112	827
3	5002	822

prune320.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
1.6b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
1.6b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
1.6b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

rewrite439.0ms

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:

16.0ms	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
140.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
140.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
141.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

series635.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
155.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
145.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
153.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

simplify41.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	271	1036
1	1002	942
2	5001	873

prune285.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes90.0ms

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	20	7
1	20	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

679.0ms	10738×	body	80	valid
19.0ms	70×	body	1280	valid
18.0ms	78×	body	640	valid
9.0ms	51×	body	320	valid
4.0ms	35×	body	160	valid