Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

336×

body

valid

simplify173.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (61.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	92	4
3	232	4
4	491	4
5	785	4
6	1115	4
7	1482	4
8	2218	3
9	3349	3
10	4819	3
11	5001	3

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize7.0ms

Local error

Found 1 expressions with local error:

2.4b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`prod-diff`
5×	`distribute-rgt-in` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in`
3×	`pow1` `add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

9.0ms

(* x (- 1.0 (* (- 1.0 y) z)))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(* x (- 1.0 (* (- 1.0 y) z)))

simplify110.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	169	253
1	710	217
2	3487	206
3	5002	206

prune75.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
2.8b	(* (* x z) (- y 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
29×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`sub-neg` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 82

Calls

2 calls:

6.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
14.0ms	(* (* x z) (- y 1.0))

series123.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
57.0ms	(* (* x z) (- y 1.0))

simplify73.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	448	736
1	1854	512
2	5001	506

prune177.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

2.8b	(* (* x z) (- y 1.0))
5.8b	(cbrt (* (* x z) (- y 1.0)))
5.8b	(cbrt (* (* x z) (- y 1.0)))
5.8b	(cbrt (* (* x z) (- y 1.0)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*r/`
6×	`cbrt-div`
5×	`associate-r`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg`
1×	`associate-l` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 85

Calls

4 calls:

14.0ms	(* (* x z) (- y 1.0))
7.0ms	(cbrt (* (* x z) (- y 1.0)))
7.0ms	(cbrt (* (* x z) (- y 1.0)))
7.0ms	(cbrt (* (* x z) (- y 1.0)))

series727.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* x z) (- y 1.0))
230.0ms	(cbrt (* (* x z) (- y 1.0)))
224.0ms	(cbrt (* (* x z) (- y 1.0)))
220.0ms	(cbrt (* (* x z) (- y 1.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	491	1055
1	1922	856
2	5001	844

prune321.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
1.2b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))
1.5b	(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

25×	`distribute-rgt-in` `distribute-lft-in`
19×	`add-sqr-sqrt`
18×	`pow1` `add-exp-log` `prod-diff`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`cbrt-prod`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`sub-neg` `associate-*r/`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `pow1/3` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

0.0ms	(cbrt x)
1.0ms	(cbrt x)
30.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))
10.0ms	(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))

series608.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt x)
200.0ms	(cbrt x)
79.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))
126.0ms	(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))

simplify87.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	442	1165
1	1929	869
2	5003	778

prune258.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes254.0ms

Accuracy

84.1% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	15
1	28	15

end0.0ms

sample456.0ms

Algorithm

intervals

Results

244.0ms

10204×

body

valid