Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

313×

body

valid

simplify12.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 3.6b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

3.4b	(* x (- 1.0 (* y z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

72×	`prod-diff`
64×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
45×	`add-cube-cbrt`
38×	`distribute-rgt-in` `distribute-lft-in`
25×	`associate-r`
22×	`associate-l`
8×	`unswap-sqr`
7×	`*-commutative`
3×	`pow1` `add-exp-log` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 102

Calls

1 calls:

17.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify56.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	435	1388
1	1595	899
2	5001	872

prune104.0ms

Filtered

105 candidates to 27 candidates (25.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	95	10	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	10	106

Merged error: 2.5b

Counts

106 → 10

localize13.0ms

Local error

Found 2 expressions with local error:

3.4b	(* x (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z y))))
53.1b	(fma (- z) y (* z y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

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

series147.0ms

Counts

2 → 6

Calls

2 calls:

116.0ms	(* x (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z y))))
30.0ms	(fma (- z) y (* z y))

simplify56.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	108	301
1	428	250
2	1725	234
3	5001	199

prune138.0ms

Filtered

38 candidates to 31 candidates (81.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	38	10	48

Merged error: 2.5b

Counts

48 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.5b	(cbrt (- 1.0 (* y z)))
3.5b	(cbrt (- 1.0 (* y z)))
3.5b	(cbrt (- 1.0 (* y z)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-sqr-sqrt`
71×	`cbrt-prod`
65×	`*-un-lft-identity`
55×	`associate-r`
24×	`associate-l` `unswap-sqr`
22×	`distribute-lft-out--`
18×	`cbrt-div` `swap-sqr`
17×	`add-cube-cbrt`
14×	`add-cbrt-cube` `difference-of-squares`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `flip3--` `flip--` `cbrt-unprod`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `*-commutative`
2×	`associate-*l/`

Counts

4 → 141

Calls

4 calls:

30.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
6.0ms	(cbrt (- 1.0 (* y z)))
6.0ms	(cbrt (- 1.0 (* y z)))
6.0ms	(cbrt (- 1.0 (* y z)))

series807.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
235.0ms	(cbrt (- 1.0 (* y z)))
240.0ms	(cbrt (- 1.0 (* y z)))
237.0ms	(cbrt (- 1.0 (* y z)))

simplify62.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	521	1461
1	2056	1357
2	5001	1273

prune388.0ms

Filtered

153 candidates to 102 candidates (66.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	149	4	153
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	151	12	163

Merged error: 2.5b

Counts

163 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

3.5b	(cbrt (- 1.0 (* y z)))
3.5b	(cbrt (- 1.0 (* y z)))
3.5b	(cbrt (- 1.0 (* y z)))
3.5b	(cbrt (- 1.0 (* y z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod` `add-sqr-sqrt`
24×	`*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div` `distribute-lft-out--` `difference-of-squares`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `pow1/3` `associate-l` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

7.0ms	(cbrt (- 1.0 (* y z)))
6.0ms	(cbrt (- 1.0 (* y z)))
6.0ms	(cbrt (- 1.0 (* y z)))
6.0ms	(cbrt (- 1.0 (* y z)))

series925.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(cbrt (- 1.0 (* y z)))
236.0ms	(cbrt (- 1.0 (* y z)))
229.0ms	(cbrt (- 1.0 (* y z)))
232.0ms	(cbrt (- 1.0 (* y z)))

simplify292.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	224	848
1	739	820
2	3324	812
3	5002	796

prune336.0ms

Filtered

88 candidates to 76 candidates (86.4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	88	12	100

Merged error: 2.5b

Counts

100 → 12

regimes274.0ms

Accuracy

0% (0.8b remaining)

Error of 2.7b against oracle of 1.9b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	13
1	23	13
2	23	13

end0.0ms

sample410.0ms

Algorithm

intervals

Results

209.0ms

9532×

body

valid