Details

sample23.0ms

Algorithm

intervals

Results

10.0ms	332×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify38.0ms

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

rewrite930.0ms

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:

227.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
626.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
61.0ms	(+ (+ (+ y z) z) y)
13.0ms	(+ (+ y z) z)

series151.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
41.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
30.0ms	(+ (+ (+ y z) z) y)
24.0ms	(+ (+ y z) z)

simplify52.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (43.0ms)

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

prune171.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
2.0b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
2.0b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
2.0b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

rewrite437.0ms

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:

17.0ms	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
139.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
139.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
140.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

series612.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
146.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
146.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
142.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (29.0ms)

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

prune270.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ y z) z)
0.3b	(* (sqrt (* x (+ (+ (+ (+ y z) z) y) t))) (sqrt (* x (+ (+ (+ (+ y z) z) y) t))))
1.5b	(sqrt (* x (+ (+ (+ (+ y z) z) y) t)))
1.5b	(sqrt (* x (+ (+ (+ (+ y z) z) y) t)))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
32×	`sqrt-pow1`
22×	`pow-prod-down`
18×	`associate-*r/`
16×	`sqrt-div`
13×	`*-un-lft-identity`
12×	`pow1/2`
10×	`add-sqr-sqrt` `pow-prod-up`
9×	`flip3-+` `flip-+` `add-log-exp`
8×	`add-cube-cbrt`
6×	`add-exp-log` `sqrt-prod` `pow-sqr` `add-cbrt-cube`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l`
3×	`sum-log` `distribute-lft-out`
2×	`associate-*l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

14.0ms	(+ (+ y z) z)
939.0ms	(* (sqrt (* x (+ (+ (+ (+ y z) z) y) t))) (sqrt (* x (+ (+ (+ (+ y z) z) y) t))))
138.0ms	(sqrt (* x (+ (+ (+ (+ y z) z) y) t)))
139.0ms	(sqrt (* x (+ (+ (+ (+ y z) z) y) t)))

series440.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (+ y z) z)
40.0ms	(* (sqrt (* x (+ (+ (+ (+ y z) z) y) t))) (sqrt (* x (+ (+ (+ (+ y z) z) y) t))))
189.0ms	(sqrt (* x (+ (+ (+ (+ y z) z) y) t)))
183.0ms	(sqrt (* x (+ (+ (+ (+ y z) z) y) t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	349	941
1	1553	827
2	5002	787

prune246.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes98.0ms

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	19	7
1	19	7

end0.0ms

sample623.0ms

Algorithm

intervals

Results

322.0ms	10640×	body	80	valid
13.0ms	92×	body	1280	valid
11.0ms	90×	body	640	valid
4.0ms	49×	body	320	valid
2.0ms	42×	body	160	valid