Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

287×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	3
1	31	3
2	62	3
3	77	3
4	77	3

prune3.0ms

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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (* y 4.0) z))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 20

Calls

1 calls:

4.0ms

(- x (* (* y 4.0) z))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(- x (* (* y 4.0) z))

simplify74.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	108	129
1	450	112
2	2653	111
3	5001	94

prune35.0ms

Filtered

23 candidates to 18 candidates (78.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Merged error: 0.0b

Counts

24 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* y 4.0) z))
0.0b	(sqrt (- x (* (* y 4.0) z)))
0.0b	(sqrt (- x (* (* y 4.0) z)))
0.2b	(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`fma-neg` `prod-diff` `pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 113

Calls

4 calls:

3.0ms	(- x (* (* y 4.0) z))
3.0ms	(sqrt (- x (* (* y 4.0) z)))
3.0ms	(sqrt (- x (* (* y 4.0) z)))
12.0ms	(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

series217.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- x (* (* y 4.0) z))
64.0ms	(sqrt (- x (* (* y 4.0) z)))
67.0ms	(sqrt (- x (* (* y 4.0) z)))
47.0ms	(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

simplify49.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	288	869
1	1181	781
2	5001	752

prune199.0ms

Filtered

125 candidates to 79 candidates (63.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	124	3	127

Merged error: 0b

Counts

127 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fabs (cbrt (- x (* (* y 4.0) z)))) (sqrt (- x (* (* y 4.0) z))))
0.1b	(* (* (fabs (cbrt (- x (* (* y 4.0) z)))) (sqrt (- x (* (* y 4.0) z)))) (sqrt (cbrt (- x (* (* y 4.0) z)))))
0.5b	(cbrt (- x (* (* y 4.0) z)))
0.5b	(cbrt (- x (* (* y 4.0) z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`associate-r`
14×	`sqrt-div`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`cbrt-div` `associate-*r/` `sqrt-prod`
9×	`cbrt-prod` `flip3--` `flip--`
4×	`expm1-log1p-u` `frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

6.0ms	(* (fabs (cbrt (- x (* (* y 4.0) z)))) (sqrt (- x (* (* y 4.0) z))))
11.0ms	(* (* (fabs (cbrt (- x (* (* y 4.0) z)))) (sqrt (- x (* (* y 4.0) z)))) (sqrt (cbrt (- x (* (* y 4.0) z)))))
2.0ms	(cbrt (- x (* (* y 4.0) z)))
2.0ms	(cbrt (- x (* (* y 4.0) z)))

series690.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (fabs (cbrt (- x (* (* y 4.0) z)))) (sqrt (- x (* (* y 4.0) z))))
279.0ms	(* (* (fabs (cbrt (- x (* (* y 4.0) z)))) (sqrt (- x (* (* y 4.0) z)))) (sqrt (cbrt (- x (* (* y 4.0) z)))))
145.0ms	(cbrt (- x (* (* y 4.0) z)))
150.0ms	(cbrt (- x (* (* y 4.0) z)))

simplify72.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	682	1582
1	2573	1458
2	5002	1440

prune373.0ms

Filtered

102 candidates to 83 candidates (81.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	102	3	105

Merged error: 0b

Counts

105 → 3

regimes117.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample366.0ms

Algorithm

intervals

Results

185.0ms

9130×

body

valid