Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

377×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	57	4
3	63	4
4	63	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

3.0ms

(- (* x x) (* (* y 4.0) z))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(- (* x x) (* (* y 4.0) z))

simplify68.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	99	103
1	400	93
2	1856	93
3	5002	93

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
3.3b	(cbrt (- (* x x) (* (* y 4.0) z)))
3.3b	(cbrt (- (* x x) (* (* y 4.0) z)))
3.3b	(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite32.0ms

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:

22.0ms	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
2.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
2.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
3.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

series412.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
102.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
103.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
101.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

simplify145.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (129.0ms)

Iter	Nodes	Cost
0	262	1221
1	969	1142
2	4562	1071
3	5001	1064

prune272.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (cbrt (- (* x x) (* (* y 4.0) z))) 6)
3.3b	(cbrt (- (* x x) (* (* y 4.0) z)))
3.3b	(cbrt (- (* x x) (* (* y 4.0) z)))
29.0b	(cbrt (pow (cbrt (- (* x x) (* (* y 4.0) z))) 6))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`cbrt-div` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`flip3--` `pow-pow` `flip--` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 65

Calls

4 calls:

5.0ms	(pow (cbrt (- (* x x) (* (* y 4.0) z))) 6)
2.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
2.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
5.0ms	(cbrt (pow (cbrt (- (* x x) (* (* y 4.0) z))) 6))

series380.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(pow (cbrt (- (* x x) (* (* y 4.0) z))) 6)
99.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
99.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
103.0ms	(cbrt (pow (cbrt (- (* x x) (* (* y 4.0) z))) 6))

simplify44.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	281	776
1	1036	731
2	5001	678

prune228.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))
0.2b	(pow (- (* x x) (* (* y 4.0) z)) 3)
37.2b	(cbrt (pow (- (* x x) (* (* y 4.0) z)) 3))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 60

Calls

3 calls:

3.0ms	(- (* x x) (* (* y 4.0) z))
4.0ms	(pow (- (* x x) (* (* y 4.0) z)) 3)
5.0ms	(cbrt (pow (- (* x x) (* (* y 4.0) z)) 3))

series191.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(- (* x x) (* (* y 4.0) z))
96.0ms	(pow (- (* x x) (* (* y 4.0) z)) 3)
50.0ms	(cbrt (pow (- (* x x) (* (* y 4.0) z)) 3))

simplify43.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	261	543
1	1215	513
2	5002	507

prune126.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes145.0ms

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	10	4
1	10	4

end0.0ms

sample515.0ms

Algorithm

intervals

Results

276.0ms

12248×

body

valid