Details

sample74.0ms

Algorithm

intervals

Results

43.0ms

668×

body

valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	55	15
1	179	14
2	561	13
3	1824	13
4	5002	13

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.4b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

316×	`associate-+r+`
216×	`prod-diff`
211×	`add-sqr-sqrt`
202×	`distribute-rgt-in` `distribute-lft-in`
180×	`*-un-lft-identity`
146×	`add-cube-cbrt`
100×	`associate-l`
71×	`associate-r`
33×	`unswap-sqr`
24×	`*-commutative`
16×	`unpow-prod-down`
15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
13×	`distribute-lft-out`
12×	`fma-def` `swap-sqr`
9×	`+-commutative`
8×	`associate-+l+`
6×	`sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`pow-unpow`
2×	`flip3-+` `flip-+` `distribute-lft-out--` `difference-of-squares` `sqr-pow`
1×	`pow-to-exp` `flip3--` `pow-pow` `pow-exp` `sum-log` `flip--`

Counts

4 → 382

Calls

4 calls:

135.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
23.0ms	(* (* a a) (+ 1.0 a))
15.0ms	(pow (+ (* a a) (* b b)) 2.0)
18.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series427.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
72.0ms	(* (* a a) (+ 1.0 a))
129.0ms	(pow (+ (* a a) (* b b)) 2.0)
73.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify120.0ms

Algorithm

egg-herbie

Counts

394 → 394

Iterations

Useful iterations: 1 (59.0ms)

Iter	Nodes	Cost
0	2050	5349
1	5001	4069

prune1.1s

Filtered

394 candidates to 214 candidates (45.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	387	7	394
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	388	7	395

Merged error: 0.0b

Counts

395 → 7

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* b b) (- 1.0 (* 3.0 a)))
22.9b	(cbrt (* (* a a) (+ 1.0 a)))
22.9b	(cbrt (* (* a a) (+ 1.0 a)))
22.9b	(cbrt (* (* a a) (+ 1.0 a)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

138×	`add-sqr-sqrt`
91×	`associate-l`
87×	`cbrt-prod`
83×	`*-un-lft-identity`
73×	`add-cube-cbrt`
72×	`prod-diff`
49×	`associate-r`
38×	`distribute-rgt-in` `distribute-lft-in`
35×	`unswap-sqr`
18×	`*-commutative`
16×	`swap-sqr`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*r/`
6×	`cbrt-div`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `distribute-lft-out`
2×	`sub-neg` `distribute-lft-out--` `difference-of-squares`
1×	`flip3--` `flip--`

Counts

4 → 244

Calls

4 calls:

29.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
11.0ms	(cbrt (* (* a a) (+ 1.0 a)))
11.0ms	(cbrt (* (* a a) (+ 1.0 a)))
16.0ms	(cbrt (* (* a a) (+ 1.0 a)))

series450.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
135.0ms	(cbrt (* (* a a) (+ 1.0 a)))
141.0ms	(cbrt (* (* a a) (+ 1.0 a)))
111.0ms	(cbrt (* (* a a) (+ 1.0 a)))

simplify183.0ms

Algorithm

egg-herbie

Counts

256 → 256

Iterations

Useful iterations: 2 (130.0ms)

Iter	Nodes	Cost
0	1013	2756
1	4369	2187
2	5001	2184

prune828.0ms

Filtered

256 candidates to 133 candidates (48.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	256	7	263

Merged error: 0.0b

Counts

263 → 7

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* b b) (- 1.0 (* 3.0 a)))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
87×	`add-sqr-sqrt`
72×	`prod-diff`
58×	`add-cube-cbrt`
49×	`associate-l`
38×	`distribute-rgt-in` `distribute-lft-in`
36×	`cbrt-prod`
28×	`associate-r`
24×	`unpow-prod-down`
15×	`distribute-lft-out`
14×	`unswap-sqr`
10×	`swap-sqr`
9×	`pow1` `add-exp-log` `*-commutative` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`sub-neg` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
1×	`flip3--` `flip--`

Counts

4 → 187

Calls

4 calls:

22.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
38.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series714.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
217.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
218.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
206.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify137.0ms

Algorithm

egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	800	2279
1	3339	1737
2	5001	1710

prune529.0ms

Filtered

199 candidates to 88 candidates (55.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	196	3	199
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	199	7	206

Merged error: 0.0b

Counts

206 → 7

localize38.0ms

Local error

Found 4 expressions with local error:

19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
48×	`cbrt-prod`
32×	`unpow-prod-down`
20×	`distribute-lft-out`
16×	`associate-l`
12×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`swap-sqr`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

27.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
28.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series848.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
231.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
210.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
210.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify185.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	111	800
1	261	752
2	882	716
3	4364	716
4	5002	716

prune442.0ms

Filtered

100 candidates to 68 candidates (32.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	100	7	107

Merged error: 0.0b

Counts

107 → 7

regimes172.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	26
1	31	26

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.5s

20764×

body

valid