Details

sample13.0ms

Algorithm

intervals

Results

5.0ms	239×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	6×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	4
1	11	4
2	11	4

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

6.0ms

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

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

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

simplify47.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	88	110
1	226	97
2	540	97
3	1522	97
4	5001	97

prune51.0ms

Filtered

20 candidates to 16 candidates (80.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	15	5	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	6	21

Merged error: 0.0b

Counts

21 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series739.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt x) (cbrt x))
178.0ms	(cbrt x)
181.0ms	(cbrt x)
178.0ms	(cbrt x)

simplify92.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3275	261
3	5001	258

prune258.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	95	7	102

Merged error: 0.0b

Counts

102 → 7

localize14.0ms

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)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

132×	`cbrt-prod`
56×	`add-sqr-sqrt`
32×	`add-cube-cbrt` `*-un-lft-identity`
18×	`swap-sqr` `associate-r` `associate-l`
12×	`unswap-sqr`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`

Counts

4 → 124

Calls

4 calls:

1.0ms	(cbrt x)
7.0ms	(cbrt (* (cbrt x) (cbrt x)))
7.0ms	(cbrt (* (cbrt x) (cbrt x)))
7.0ms	(cbrt (* (cbrt x) (cbrt x)))

series1.0s

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
275.0ms	(cbrt (* (cbrt x) (cbrt x)))
270.0ms	(cbrt (* (cbrt x) (cbrt x)))
275.0ms	(cbrt (* (cbrt x) (cbrt x)))

simplify54.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	133	958
1	392	928
2	2019	841
3	5001	841

prune419.0ms

Filtered

136 candidates to 98 candidates (72.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	136	7	143

Merged error: 0.0b

Counts

143 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.9b	(pow (cbrt (cbrt x)) 4)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
28×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`swap-sqr` `associate-r` `associate-l`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt x)
2.0ms	(cbrt (cbrt x))
6.0ms	(cbrt (* (cbrt x) (cbrt x)))
4.0ms	(pow (cbrt (cbrt x)) 4)

series1.0s

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt x)
245.0ms	(cbrt (cbrt x))
270.0ms	(cbrt (* (cbrt x) (cbrt x)))
305.0ms	(pow (cbrt (cbrt x)) 4)

simplify137.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	243	567
1	847	536
2	4307	497
3	5001	497

prune537.0ms

Filtered

104 candidates to 79 candidates (76.0%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	104	7	111

Merged error: 0.0b

Counts

111 → 7

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample303.0ms

Algorithm

intervals

Results

153.0ms	7667×	body	80	valid
11.0ms	127×	body	1280	valid
6.0ms	87×	body	640	valid
5.0ms	43×	body	2560	valid
3.0ms	49×	body	320	valid
1.0ms	27×	body	160	valid