Details

sample259.0ms

Algorithm

intervals

Results

6.0ms

313×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	15	2
2	15	2

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

8.0ms

(* (+ x y) z)

series30.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* (+ x y) z)

simplify39.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	106	84
1	411	72
2	1811	72
3	5003	72

prune53.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
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×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
4.0ms	(cbrt (* (+ x y) z))
4.0ms	(cbrt (* (+ x y) z))
4.0ms	(cbrt (* (+ x y) z))

series428.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
99.0ms	(cbrt (* (+ x y) z))
99.0ms	(cbrt (* (+ x y) z))
101.0ms	(cbrt (* (+ x y) z))

simplify140.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (132.0ms)

Iter	Nodes	Cost
0	320	662
1	1035	608
2	4759	548
3	5001	543

prune227.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

6.0ms	(* (+ x y) z)
13.0ms	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
4.0ms	(sqrt (* (+ x y) z))
4.0ms	(sqrt (* (+ x y) z))

series222.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
23.0ms	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
89.0ms	(sqrt (* (+ x y) z))
90.0ms	(sqrt (* (+ x y) z))

simplify45.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	262	526
1	1227	461
2	5001	441

prune204.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (cbrt (sqrt (* (+ x y) z))) 4)
1.5b	(sqrt (* (+ x y) z))
1.5b	(sqrt (* (+ x y) z))
1.5b	(sqrt (* (+ x y) z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
6×	`sqrt-pow1` `sqrt-div` `associate-*l/`
5×	`add-exp-log`
4×	`cbrt-prod` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `pow1/2` `pow-prod-down` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqr-pow`

Counts

4 → 61

Calls

4 calls:

4.0ms	(pow (cbrt (sqrt (* (+ x y) z))) 4)
4.0ms	(sqrt (* (+ x y) z))
7.0ms	(sqrt (* (+ x y) z))
4.0ms	(sqrt (* (+ x y) z))

series389.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(pow (cbrt (sqrt (* (+ x y) z))) 4)
90.0ms	(sqrt (* (+ x y) z))
89.0ms	(sqrt (* (+ x y) z))
90.0ms	(sqrt (* (+ x y) z))

simplify109.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	312	452
1	940	418
2	3712	398
3	5001	398

prune216.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	2
1	7	2

end0.0ms

sample376.0ms

Algorithm

intervals

Results

168.0ms

10079×

body

valid