Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

351×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	23	3
2	38	3
3	47	3
4	47	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-r` `associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

2.0ms	(- 1.0 (* x y))
7.0ms	(* x (- 1.0 (* x y)))

series70.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(- 1.0 (* x y))
41.0ms	(* x (- 1.0 (* x y)))

simplify92.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	138	190
1	581	168
2	3052	168
3	5001	168

prune70.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* x y))))
0.2b	(* x (- (* x y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `distribute-rgt-neg-out`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* x (- (* x y))))
5.0ms	(* x (- (* x y)))

series62.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* x 1.0) (* x (- (* x y))))
23.0ms	(* x (- (* x y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	181	210
1	1035	183
2	5001	179

prune86.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
22.5b	(cbrt (* x (- (* x y))))
22.5b	(cbrt (* x (- (* x y))))
22.5b	(cbrt (* x (- (* x y))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

8.0ms	(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
2.0ms	(cbrt (* x (- (* x y))))
2.0ms	(cbrt (* x (- (* x y))))
2.0ms	(cbrt (* x (- (* x y))))

series422.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
100.0ms	(cbrt (* x (- (* x y))))
97.0ms	(cbrt (* x (- (* x y))))
97.0ms	(cbrt (* x (- (* x y))))

simplify101.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	211	528
1	689	459
2	3215	384
3	5001	378

prune196.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

22.5b	(cbrt (* x (- (* x y))))
22.5b	(cbrt (* x (- (* x y))))
22.5b	(cbrt (* x (- (* x y))))
22.5b	(cbrt (* x (- (* x y))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

2.0ms	(cbrt (* x (- (* x y))))
2.0ms	(cbrt (* x (- (* x y))))
2.0ms	(cbrt (* x (- (* x y))))
2.0ms	(cbrt (* x (- (* x y))))

series387.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (* x (- (* x y))))
96.0ms	(cbrt (* x (- (* x y))))
97.0ms	(cbrt (* x (- (* x y))))
97.0ms	(cbrt (* x (- (* x y))))

simplify51.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 4 (47.0ms)

Iter	Nodes	Cost
0	98	320
1	189	284
2	413	240
3	1089	240
4	5001	236

prune178.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	5
1	23	5
2	24	5
3	24	5

end0.0ms

sample360.0ms

Algorithm

intervals

Results

190.0ms

10710×

body

valid