Details

sample10.0ms

Algorithm

intervals

Results

3.0ms	255×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune1.0ms

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: 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))

series33.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* 200.0 (- x y))

simplify87.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	188	356
1	730	220
2	3302	190
3	5001	166

prune36.0ms

Filtered

49 candidates to 20 candidates (59.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Merged error: 0.0b

Counts

50 → 4

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)))

rewrite44.0ms

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)))

series139.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(* (cbrt 200.0) (- x y))
74.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

simplify100.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	834	2645
1	3876	1720
2	5002	1569

prune174.0ms

Filtered

208 candidates to 87 candidates (58.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	208	4	212

Merged error: 0b

Counts

212 → 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)))

rewrite30.0ms

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)))
10.0ms	(* (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 (49.0ms)

Iter	Nodes	Cost
0	160	1154
1	546	1088
2	2320	985
3	5002	925

prune239.0ms

Filtered

153 candidates to 89 candidates (41.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Merged error: 0b

Counts

157 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (sqrt 200.0) (- x y))
0.3b	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 142

Calls

2 calls:

8.0ms	(* (sqrt 200.0) (- x y))
19.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* (sqrt 200.0) (- x y))
97.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	385	1302
1	1598	869
2	5001	810

prune101.0ms

Filtered

148 candidates to 55 candidates (62.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	148	4	152

Merged error: 0b

Counts

152 → 4

regimes64.0ms

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

sample231.0ms

Algorithm

intervals

Results

111.0ms	7948×	body	80	valid
3.0ms	54×	body	1280	valid
2.0ms	33×	body	640	valid
1.0ms	18×	body	2560	valid
1.0ms	19×	body	320	valid
0.0ms	10×	body	160	valid