Details

sample20.0ms

Algorithm

intervals

Results

7.0ms	330×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	4
1	28	4
2	38	4
3	41	4
4	41	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `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` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

20.0ms	(* x (+ y z))
13.0ms	(+ (* x (+ y z)) (* z 5.0))

series62.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* x (+ y z))
31.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify119.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	212	186
1	877	169
2	4182	168
3	5001	168

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
3.2b	(cbrt (* x (+ y z)))
3.2b	(cbrt (* x (+ y z)))
3.2b	(cbrt (* x (+ y z)))

rewrite45.0ms

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:

20.0ms	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
7.0ms	(cbrt (* x (+ y z)))
9.0ms	(cbrt (* x (+ y z)))
7.0ms	(cbrt (* x (+ y z)))

series482.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
111.0ms	(cbrt (* x (+ y z)))
111.0ms	(cbrt (* x (+ y z)))
112.0ms	(cbrt (* x (+ y z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	254	585
1	799	531
2	2788	474
3	5001	464

prune238.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))

rewrite111.0ms

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:

9.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
11.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
9.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
78.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))

series692.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
158.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
156.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
221.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))

simplify47.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	323	1273
1	1143	1175
2	5001	1048

prune250.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
0.6b	(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))
0.6b	(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))
0.6b	(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`cbrt-div`
18×	`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 → 96

Calls

4 calls:

75.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
12.0ms	(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))
10.0ms	(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))
10.0ms	(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))

series692.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
155.0ms	(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))
159.0ms	(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))
155.0ms	(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))

simplify49.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	341	1459
1	1172	1380
2	5002	1252

prune309.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes164.0ms

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	12	4
1	12	4

end0.0ms

sample504.0ms

Algorithm

intervals

Results

204.0ms	9765×	body	80	valid
13.0ms	109×	body	1280	valid
9.0ms	122×	body	640	valid
4.0ms	67×	body	320	valid
1.0ms	20×	body	160	valid