Details

sample12.0ms

Algorithm

intervals

Results

4.0ms	235×	body	80	valid
0.0ms	8×	body	640	valid
0.0ms	5×	body	1280	valid
0.0ms	7×	body	320	valid
0.0ms	1×	body	2560	valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	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: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

9.0ms

(+ x (/ (- x y) 2.0))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(+ x (/ (- x y) 2.0))

simplify86.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 4 (83.0ms)

Iter	Nodes	Cost
0	97	89
1	261	81
2	773	81
3	3727	81
4	5001	80

prune50.0ms

Filtered

21 candidates to 17 candidates (81.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	17	5	22

Merged error: 0.0b

Counts

22 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ x 2.0))
0.0b	(- (+ x (/ x 2.0)) (/ y 2.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
52×	`prod-diff`
50×	`add-sqr-sqrt`
45×	`add-cube-cbrt`
37×	`times-frac`
16×	`distribute-lft-out`
9×	`add-log-exp`
4×	`fma-neg` `div-inv`
3×	`fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3-+` `diff-log` `sum-log` `frac-sub` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

2 → 95

Calls

2 calls:

6.0ms	(+ x (/ x 2.0))
14.0ms	(- (+ x (/ x 2.0)) (/ y 2.0))

series67.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ x (/ x 2.0))
39.0ms	(- (+ x (/ x 2.0)) (/ y 2.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	460	1578
1	1482	1102
2	5001	991

prune103.0ms

Filtered

101 candidates to 43 candidates (42.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	101	5	106

Merged error: 0.0b

Counts

106 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

10.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series777.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt x) (cbrt x))
194.0ms	(cbrt x)
193.0ms	(cbrt x)
190.0ms	(cbrt x)

simplify96.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune210.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	92	6	98

Merged error: 0.0b

Counts

98 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (* (cbrt x) (cbrt x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt x)
4.0ms	(cbrt (* (cbrt x) (cbrt x)))
4.0ms	(cbrt (* (cbrt x) (cbrt x)))
4.0ms	(cbrt (* (cbrt x) (cbrt x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt x)
293.0ms	(cbrt (* (cbrt x) (cbrt x)))
280.0ms	(cbrt (* (cbrt x) (cbrt x)))
276.0ms	(cbrt (* (cbrt x) (cbrt x)))

simplify106.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 4 (100.0ms)

Iter	Nodes	Cost
0	82	262
1	172	232
2	563	218
3	2341	218
4	5002	217

prune187.0ms

Filtered

58 candidates to 56 candidates (96.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	58	6	64

Merged error: 0.0b

Counts

64 → 6

regimes54.0ms

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	8	4
1	8	4

end0.0ms

sample309.0ms

Algorithm

intervals

Results

139.0ms	7412×	body	80	valid
16.0ms	212×	body	1280	valid
13.0ms	97×	body	2560	valid
10.0ms	154×	body	640	valid
4.0ms	86×	body	320	valid
1.0ms	41×	body	160	valid