Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

310×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	24	3
2	52	3
3	88	3
4	102	3
5	102	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* y z))
2.0b	(* x (- 1.0 (* y z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

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

series73.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(- 1.0 (* y z))
50.0ms	(* x (- 1.0 (* y z)))

simplify72.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	175	291
1	678	254
2	2734	247
3	5001	229

prune102.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* y z))
2.0b	(* x (- 1.0 (* y z)))
50.7b	(fma (- z) y (* z y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

3.0ms	(- 1.0 (* y z))
5.0ms	(* x (- 1.0 (* y z)))
1.0ms	(fma (- z) y (* z y))

series101.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- 1.0 (* y z))
47.0ms	(* x (- 1.0 (* y z)))
29.0ms	(fma (- z) y (* z y))

simplify79.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	185	341
1	721	297
2	2920	290
3	5001	267

prune169.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* x (- 1.0 (* y z))))
2.0b	(* x (- 1.0 (* y z)))
2.0b	(* x (- 1.0 (* y z)))
2.0b	(* x (- 1.0 (* y z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

4.0ms	(cbrt (* x (- 1.0 (* y z))))
6.0ms	(* x (- 1.0 (* y z)))
6.0ms	(* x (- 1.0 (* y z)))
6.0ms	(* x (- 1.0 (* y z)))

series269.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt (* x (- 1.0 (* y z))))
49.0ms	(* x (- 1.0 (* y z)))
47.0ms	(* x (- 1.0 (* y z)))
51.0ms	(* x (- 1.0 (* y z)))

simplify95.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	252	705
1	885	621
2	3636	605
3	5002	602

prune264.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 2.0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt x) (- 1.0 (* y z)))
1.2b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
2.0b	(* x (- 1.0 (* y z)))
2.0b	(* x (- 1.0 (* y z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

35×	`distribute-rgt-in` `distribute-lft-in`
30×	`prod-diff`
29×	`add-sqr-sqrt`
22×	`pow1` `add-exp-log`
21×	`add-cube-cbrt` `*-un-lft-identity`
15×	`add-cbrt-cube`
13×	`associate-l`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`sub-neg` `associate-r/` `associate-r*`
4×	`cbrt-prod` `expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

6.0ms	(* (cbrt x) (- 1.0 (* y z)))
11.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
5.0ms	(* x (- 1.0 (* y z)))
6.0ms	(* x (- 1.0 (* y z)))

series358.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(* (cbrt x) (- 1.0 (* y z)))
74.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
47.0ms	(* x (- 1.0 (* y z)))
49.0ms	(* x (- 1.0 (* y z)))

simplify65.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	452	1307
1	2095	997
2	5001	829

prune335.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 2.0b

regimes200.0ms

Accuracy

0% (0.1b remaining)

Error of 3.2b against oracle of 3.0b and baseline of 3.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample379.0ms

Algorithm

intervals

Results

196.0ms

9621×

body

valid