Details

sample38.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true
4.0ms	248×	pre	80	false

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	47	7
2	106	7
3	265	7
4	1495	7
5	5001	7

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 14.6b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* a a) (* b b))
0.0b	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
14.1b	(/ (- (* a a) (* b b)) (* a a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`pow1` `times-frac` `associate-/l*`
3×	`sqrt-prod` `difference-of-squares`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

3 → 52

Calls

3 calls:

3.0ms	(- (* a a) (* b b))
1.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
7.0ms	(/ (- (* a a) (* b b)) (* a a))

series26.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(- (* a a) (* b b))
12.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
8.0ms	(/ (- (* a a) (* b b)) (* a a))

simplify161.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (155.0ms)

Iter	Nodes	Cost
0	228	417
1	970	368
2	4781	367
3	5001	366

prune83.0ms

Filtered

61 candidates to 45 candidates (26.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	2	62

Merged error: 0.0b

Counts

62 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
0.0b	(/ (+ a b) a)
0.0b	(* (/ (+ a b) a) (/ (- a b) a))
0.0b	(/ (- a b) a)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
58×	`times-frac`
41×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
16×	`associate-l`
9×	`associate-/l*`
7×	`pow1` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
4×	`prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
3×	`sqrt-prod`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `rem-sqrt-square` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `flip-+`

Counts

4 → 143

Calls

4 calls:

1.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
6.0ms	(/ (+ a b) a)
16.0ms	(* (/ (+ a b) a) (/ (- a b) a))
6.0ms	(/ (- a b) a)

series29.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
4.0ms	(/ (+ a b) a)
9.0ms	(* (/ (+ a b) a) (/ (- a b) a))
5.0ms	(/ (- a b) a)

simplify63.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	493	951
1	2505	870
2	5002	867

prune158.0ms

Filtered

155 candidates to 106 candidates (31.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	153	2	155
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	155	2	157

Merged error: 0b

Counts

157 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
0.0b	(/ (* (+ a b) (/ (- a b) a)) a)
0.0b	(* (+ a b) (/ (- a b) a))
0.0b	(/ (- a b) a)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
34×	`times-frac`
27×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
7×	`pow1` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l`
4×	`frac-times` `flip3-+` `associate-l` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `add-log-exp`
3×	`sqrt-prod` `div-inv`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `div-sub` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out`

Counts

4 → 122

Calls

4 calls:

1.0ms	(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
12.0ms	(/ (* (+ a b) (/ (- a b) a)) a)
11.0ms	(* (+ a b) (/ (- a b) a))
6.0ms	(/ (- a b) a)

series34.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
9.0ms	(/ (* (+ a b) (/ (- a b) a)) a)
9.0ms	(* (+ a b) (/ (- a b) a))
5.0ms	(/ (- a b) a)

simplify63.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	440	815
1	2436	731
2	5002	729

prune135.0ms

Filtered

134 candidates to 94 candidates (29.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	134	2	136

Merged error: 0b

Counts

136 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (- a b) a))
0.0b	(* (+ a b) (log (exp (/ (- a b) a))))
0.0b	(/ (- a b) a)
0.1b	(log (exp (/ (- a b) a)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt` `*-un-lft-identity`
60×	`times-frac`
57×	`exp-prod`
46×	`add-cube-cbrt`
40×	`log-pow`
23×	`associate-r`
13×	`distribute-lft-out--` `difference-of-squares`
9×	`log-prod`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-/l*` `add-log-exp`
4×	`associate-l` `div-inv`
3×	`distribute-rgt-in` `distribute-lft-in` `div-sub` `associate-/r*`
2×	`exp-diff` `associate-*l/` `associate-/l/`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `rem-exp-log` `distribute-lft-out` `unswap-sqr`

Counts

4 → 145

Calls

4 calls:

8.0ms	(exp (/ (- a b) a))
16.0ms	(* (+ a b) (log (exp (/ (- a b) a))))
6.0ms	(/ (- a b) a)
7.0ms	(log (exp (/ (- a b) a)))

series27.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(exp (/ (- a b) a))
9.0ms	(* (+ a b) (log (exp (/ (- a b) a))))
4.0ms	(/ (- a b) a)
5.0ms	(log (exp (/ (- a b) a)))

simplify51.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	411	819
1	1719	747
2	5001	730

prune187.0ms

Filtered

157 candidates to 115 candidates (26.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	157	2	159

Merged error: 0b

Counts

159 → 2

regimes67.0ms

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	11	7
1	11	7

end0.0ms

sample956.0ms

Algorithm

intervals

Results

272.0ms	8000×	body	80	valid
138.0ms	8000×	pre	80	true
137.0ms	8078×	pre	80	false

Details

sample38.0ms

simplify49.0ms

prune3.0ms

localize8.0ms

rewrite13.0ms

series26.0ms

simplify161.0ms

prune83.0ms

localize8.0ms

rewrite34.0ms

series29.0ms

simplify63.0ms

prune158.0ms

localize8.0ms

rewrite34.0ms

series34.0ms

simplify63.0ms

prune135.0ms

localize12.0ms

rewrite43.0ms

series27.0ms

simplify51.0ms

prune187.0ms

regimes67.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample956.0ms

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