Details

sample286.0ms

Algorithm

intervals

Results

11.0ms

337×

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)

rewrite14.0ms

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:

12.0ms

(* (+ x y) z)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* (+ x y) z)

simplify40.0ms

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

prune49.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 95

Calls

4 calls:

22.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))

series550.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
132.0ms	(cbrt (+ x y))
126.0ms	(cbrt (+ x y))
129.0ms	(cbrt (+ x y))

simplify146.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (138.0ms)

Iter	Nodes	Cost
0	246	671
1	881	634
2	4190	584
3	5001	580

prune239.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))

series516.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (+ x y))
130.0ms	(cbrt (+ x y))
128.0ms	(cbrt (+ x y))
131.0ms	(cbrt (+ x y))

simplify139.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 4 (135.0ms)

Iter	Nodes	Cost
0	124	348
1	307	328
2	987	320
3	4141	320
4	5001	312

prune221.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

3.1b	(- (* x x) (* y y))
11.4b	(/ (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y))))
25.3b	(cbrt (- (* x x) (* y y)))
25.3b	(cbrt (- (* x x) (* y y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`add-exp-log`
15×	`flip3--` `flip--`
8×	`cbrt-prod` `frac-times` `associate-/r/` `add-cbrt-cube` `associate-/l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod`
3×	`difference-of-squares`
2×	`pow1/3`
1×	`sub-neg` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 78

Calls

4 calls:

3.0ms	(- (* x x) (* y y))
19.0ms	(/ (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y))))
2.0ms	(cbrt (- (* x x) (* y y)))
2.0ms	(cbrt (- (* x x) (* y y)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* x x) (* y y))
147.0ms	(/ (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y))))
108.0ms	(cbrt (- (* x x) (* y y)))
105.0ms	(cbrt (- (* x x) (* y y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	410	1034
1	1496	852
2	5001	807

prune309.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes113.0ms

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

sample505.0ms

Algorithm

intervals

Results

300.0ms

10085×

body

valid