Details

sample32.0ms

Algorithm

intervals

Results

20.0ms

351×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	20	4
2	39	4
3	47	4
4	47	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (+ (* x y) z) y) t)
0.0b	(+ (* x y) z)
0.1b	(* (+ (* x y) z) y)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`flip3-+` `associate-r` `associate-l` `flip-+`
2×	`+-commutative` `associate-*l/` `sum-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

6.0ms	(+ (* (+ (* x y) z) y) t)
3.0ms	(+ (* x y) z)
10.0ms	(* (+ (* x y) z) y)

series113.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (* (+ (* x y) z) y) t)
20.0ms	(+ (* x y) z)
32.0ms	(* (+ (* x y) z) y)

simplify103.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	208	263
1	742	237
2	4187	233
3	5002	233

prune111.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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:

21.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
2.0ms	(cbrt (+ (* x y) z))
5.0ms	(cbrt (+ (* x y) z))
3.0ms	(cbrt (+ (* x y) z))

series440.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
104.0ms	(cbrt (+ (* x y) z))
106.0ms	(cbrt (+ (* x y) z))
104.0ms	(cbrt (+ (* x y) z))

simplify134.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	267	831
1	930	778
2	4394	715
3	5001	710

prune288.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
10×	`cbrt-prod`
9×	`flip3-+` `flip-+`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 56

Calls

4 calls:

3.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
8.0ms	(cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))))

series451.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt (+ (* x y) z))
106.0ms	(cbrt (+ (* x y) z))
105.0ms	(cbrt (+ (* x y) z))
132.0ms	(cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))))

simplify57.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	240	629
1	582	589
2	1928	563
3	5002	560

prune292.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))))
0.9b	(pow (cbrt (cbrt (+ (* x y) z))) 4)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-div`
16×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
8×	`flip3-+` `flip-+`
5×	`pow1` `add-exp-log`
4×	`frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `associate-r/` `associate-l/`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
8.0ms	(cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))))
6.0ms	(pow (cbrt (cbrt (+ (* x y) z))) 4)

series512.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(cbrt (+ (* x y) z))
108.0ms	(cbrt (+ (* x y) z))
136.0ms	(cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))))
160.0ms	(pow (cbrt (cbrt (+ (* x y) z))) 4)

simplify135.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	367	737
1	1076	683
2	4220	650
3	5001	650

prune311.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes180.0ms

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

sample934.0ms

Algorithm

intervals

Results

655.0ms

11297×

body

valid