Details

sample13.0ms

Algorithm

intervals

Results

5.0ms	243×	body	80	valid
0.0ms	3×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

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

prune50.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

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)

rewrite9.0ms

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:

6.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series720.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt x) (cbrt x))
174.0ms	(cbrt x)
175.0ms	(cbrt x)
170.0ms	(cbrt x)

simplify91.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (86.0ms)

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

prune256.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

48.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
9.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series206.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
51.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
54.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
50.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	375	1533
1	1267	1446
2	5001	1341

prune319.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.8b	(expm1 (log1p (cbrt x)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`expm1-log1p` `expm1-udef`

Counts

4 → 50

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)
0.0ms	(expm1 (log1p (cbrt x)))

series856.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt x)
182.0ms	(cbrt x)
184.0ms	(cbrt x)
307.0ms	(expm1 (log1p (cbrt x)))

simplify127.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	54	163
1	94	151
2	206	143
3	709	143
4	4140	143
5	5001	143

prune195.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes91.0ms

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

sample304.0ms

Algorithm

intervals

Results

158.0ms	7696×	body	80	valid
9.0ms	103×	body	1280	valid
6.0ms	53×	body	2560	valid
5.0ms	69×	body	640	valid
3.0ms	51×	body	320	valid
1.0ms	28×	body	160	valid