Details

sample19.0ms

Algorithm

intervals

Results

8.0ms	254×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	2
1	15	2
2	23	2
3	31	2
4	33	2
5	33	2

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 200.0 (- x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

8.0ms

(* 200.0 (- x y))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* 200.0 (- x y))

simplify92.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	190	356
1	746	220
2	3412	190
3	5002	166

prune36.0ms

Filtered

49 candidates to 20 candidates (40.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	3	50

Merged error: 0b

Counts

50 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (cbrt 200.0) (- x y))
0.4b	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
41×	`add-cube-cbrt`
16×	`pow1` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
7×	`associate-l`
6×	`sub-neg` `associate-r/` `associate-r*`
4×	`cbrt-prod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 120

Calls

2 calls:

7.0ms	(* (cbrt 200.0) (- x y))
16.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

series131.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* (cbrt 200.0) (- x y))
73.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	543	1668
1	2088	926
2	5001	744

prune87.0ms

Filtered

126 candidates to 42 candidates (33.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	126	3	129

Merged error: 0b

Counts

129 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
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 → 109

Calls

4 calls:

10.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
3.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))

series559.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
142.0ms	(cbrt (- x y))
145.0ms	(cbrt (- x y))
146.0ms	(cbrt (- x y))

simplify151.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (142.0ms)

Iter	Nodes	Cost
0	270	790
1	950	753
2	4639	700
3	5001	694

prune313.0ms

Filtered

121 candidates to 89 candidates (73.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	121	3	124

Merged error: 0b

Counts

124 → 3

regimes86.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample368.0ms

Algorithm

intervals

Results

184.0ms	7901×	body	80	valid
5.0ms	51×	body	1280	valid
3.0ms	40×	body	640	valid
3.0ms	23×	body	2560	valid
1.0ms	23×	body	320	valid
1.0ms	15×	body	160	valid