Details

sample11.0ms

Algorithm

intervals

Results

4.0ms	250×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify10.0ms

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

localize3.0ms

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:

7.0ms

(* 200.0 (- x y))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* 200.0 (- x y))

simplify103.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (95.0ms)

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

prune47.0ms

Filtered

49 candidates to 20 candidates (40.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	5	50

Merged error: 0.0b

Counts

50 → 5

localize10.0ms

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)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

158×	`add-sqr-sqrt`
65×	`unswap-sqr`
58×	`*-un-lft-identity`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`add-cube-cbrt` `prod-diff`
51×	`cbrt-prod`
45×	`associate-l`
40×	`add-cbrt-cube`
39×	`cbrt-unprod`
34×	`associate-r`
16×	`pow1` `add-exp-log`
12×	`swap-sqr`
9×	`pow-prod-down` `prod-exp`
7×	`*-commutative`
6×	`sub-neg` `associate-*r/`
2×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

2 → 202

Calls

2 calls:

7.0ms	(* (cbrt 200.0) (- x y))
26.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

series137.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* (cbrt 200.0) (- x y))
74.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

simplify99.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	836	2645
1	3892	1720
2	5001	1567

prune239.0ms

Filtered

208 candidates to 86 candidates (41.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	206	2	208
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	209	4	213

Merged error: 0b

Counts

213 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (cbrt 200.0))
1.0b	(cbrt (* (cbrt 200.0) (cbrt 200.0)))
1.0b	(cbrt (* (cbrt 200.0) (cbrt 200.0)))
1.0b	(* (cbrt (cbrt 200.0)) (cbrt (cbrt 200.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 149

Calls

4 calls:

2.0ms	(cbrt (cbrt 200.0))
6.0ms	(cbrt (* (cbrt 200.0) (cbrt 200.0)))
6.0ms	(cbrt (* (cbrt 200.0) (cbrt 200.0)))
8.0ms	(* (cbrt (cbrt 200.0)) (cbrt (cbrt 200.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(cbrt (cbrt 200.0))
0.0ms	(cbrt (* (cbrt 200.0) (cbrt 200.0)))
0.0ms	(cbrt (* (cbrt 200.0) (cbrt 200.0)))
0.0ms	(* (cbrt (cbrt 200.0)) (cbrt (cbrt 200.0)))

simplify62.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	160	1154
1	546	1088
2	2339	985
3	5002	925

prune340.0ms

Filtered

153 candidates to 89 candidates (58.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	153	4	157

Merged error: 0b

Counts

157 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b

(* (* (sqrt (cbrt 200.0)) (cbrt (sqrt 200.0))) (* (* (cbrt (sqrt 200.0)) (pow (sqrt (cbrt 200.0)) 3)) (- x y)))

0.4b

(* (* (cbrt (sqrt 200.0)) (pow (sqrt (cbrt 200.0)) 3)) (- x y))

1.0b

(pow (sqrt (cbrt 200.0)) 3)

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

1672×	`add-sqr-sqrt`
1214×	`unswap-sqr`
639×	`cbrt-prod`
621×	`sqrt-prod`
184×	`associate-l`
164×	`associate-r`
162×	`unpow-prod-down` `cube-prod`
82×	`*-un-lft-identity`
78×	`add-cube-cbrt`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
51×	`add-exp-log` `add-cbrt-cube`
48×	`sqr-pow`
40×	`cbrt-unprod`
36×	`prod-exp`
31×	`pow1`
27×	`swap-sqr`
18×	`pow-prod-down`
6×	`sub-neg` `associate-r/` `-commutative`
4×	`pow-to-exp` `pow-pow` `pow-exp`
3×	`expm1-log1p-u` `cube-mult` `pow-unpow` `unpow3` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `sqrt-pow1` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/2` `pow1/3` `sqrt-pow2` `rem-cube-cbrt`

Counts

3 → 676

Calls

3 calls:

93.0ms

(* (* (sqrt (cbrt 200.0)) (cbrt (sqrt 200.0))) (* (* (cbrt (sqrt 200.0)) (pow (sqrt (cbrt 200.0)) 3)) (- x y)))

28.0ms

(* (* (cbrt (sqrt 200.0)) (pow (sqrt (cbrt 200.0)) 3)) (- x y))

4.0ms

(pow (sqrt (cbrt 200.0)) 3)

series776.0ms

Counts

3 → 7

Calls

3 calls:

407.0ms

(* (* (sqrt (cbrt 200.0)) (cbrt (sqrt 200.0))) (* (* (cbrt (sqrt 200.0)) (pow (sqrt (cbrt 200.0)) 3)) (- x y)))

368.0ms

(* (* (cbrt (sqrt 200.0)) (pow (sqrt (cbrt 200.0)) 3)) (- x y))

0.0ms

(pow (sqrt (cbrt 200.0)) 3)

simplify160.0ms

Algorithm

egg-herbie

Counts

683 → 683

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1624	16542
1	5001	15520

prune991.0ms

Filtered

683 candidates to 221 candidates (32.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	682	1	683
Fresh	1	0	1
Picked	0	1	1
Done	1	1	2
Total	684	3	687

Merged error: 0b

Counts

687 → 3

regimes69.0ms

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	6	2
1	6	2

end0.0ms

sample270.0ms

Algorithm

intervals

Results

129.0ms	7877×	body	80	valid
4.0ms	59×	body	1280	valid
2.0ms	46×	body	640	valid
2.0ms	24×	body	2560	valid
1.0ms	20×	body	320	valid
0.0ms	12×	body	160	valid