Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

325×

body

valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	25	3
2	36	3
3	40	3
4	46	3
5	58	3
6	93	3
7	130	3
8	163	3
9	273	3
10	507	3
11	1618	3
12	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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-+r+` `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:

9.0ms	(* y (+ z x))
3.0ms	(+ x (* y (+ z x)))

series56.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* y (+ z x))
32.0ms	(+ x (* y (+ z x)))

simplify95.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	186	164
1	769	149
2	3884	149
3	5001	149

prune83.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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:

2.0ms	(cbrt (+ z x))
2.0ms	(cbrt (+ z x))
2.0ms	(cbrt (+ z x))
20.0ms	(* (cbrt (+ z x)) (cbrt (+ z x)))

series543.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt (+ z x))
125.0ms	(cbrt (+ z x))
127.0ms	(cbrt (+ z x))
167.0ms	(* (cbrt (+ z x)) (cbrt (+ z x)))

simplify134.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	247	671
1	894	634
2	4209	584
3	5002	580

prune282.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

378×	`cbrt-div`
144×	`frac-times`
121×	`flip3-+` `flip-+`
54×	`associate-*r/`
48×	`associate-*l/`
41×	`cbrt-prod`
34×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
16×	`pow1`
14×	`associate-l`
11×	`add-exp-log` `pow1/3`
10×	`swap-sqr`
8×	`associate-r` `distribute-lft-out`
7×	`pow-prod-down`
5×	`add-cbrt-cube`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 191

Calls

4 calls:

7.0ms	(cbrt (* (cbrt (+ z x)) (cbrt (+ z x))))
50.0ms	(* (cbrt (+ z x)) (* (cbrt (* (cbrt (+ z x)) (cbrt (+ z x)))) (cbrt (cbrt (+ z x)))))
23.0ms	(* (cbrt (+ z x)) (cbrt (+ z x)))
3.0ms	(cbrt (cbrt (+ z x)))

series794.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(cbrt (* (cbrt (+ z x)) (cbrt (+ z x))))
169.0ms	(* (cbrt (+ z x)) (* (cbrt (* (cbrt (+ z x)) (cbrt (+ z x)))) (cbrt (cbrt (+ z x)))))
167.0ms	(* (cbrt (+ z x)) (cbrt (+ z x)))
203.0ms	(cbrt (cbrt (+ z x)))

simplify81.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	832	3470
1	2413	3397
2	5001	3285

prune802.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

177×	`cbrt-prod`
58×	`add-sqr-sqrt`
48×	`cbrt-div`
46×	`*-un-lft-identity`
26×	`add-cube-cbrt`
16×	`unswap-sqr`
15×	`swap-sqr`
13×	`associate-r` `associate-l`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 134

Calls

4 calls:

29.0ms	(* (cbrt (cbrt (cbrt (+ z x)))) (cbrt (cbrt (cbrt (+ z x)))))
3.0ms	(cbrt (cbrt (+ z x)))
5.0ms	(cbrt (cbrt (+ z x)))
3.0ms	(cbrt (cbrt (+ z x)))

series888.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(* (cbrt (cbrt (cbrt (+ z x)))) (cbrt (cbrt (cbrt (+ z x)))))
206.0ms	(cbrt (cbrt (+ z x)))
213.0ms	(cbrt (cbrt (+ z x)))
202.0ms	(cbrt (cbrt (+ z x)))

simplify131.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	310	1578
1	950	1519
2	4348	1363
3	5002	1345

prune555.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes75.0ms

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	9	3
1	9	3

end0.0ms

sample392.0ms

Algorithm

intervals

Results

193.0ms

10113×

body

valid