Details

sample60.0ms

Algorithm

intervals

Results

39.0ms

668×

body

valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

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

prune8.0ms

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

localize22.0ms

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)))

rewrite188.0ms

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:

112.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
12.0ms	(* (* a a) (+ 1.0 a))
17.0ms	(pow (+ (* a a) (* b b)) 2.0)
19.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
62.0ms	(* (* a a) (+ 1.0 a))
132.0ms	(pow (+ (* a a) (* b b)) 2.0)
71.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify105.0ms

Algorithm

egg-herbie

Counts

394 → 394

Iterations

Useful iterations: 1 (48.0ms)

Iter	Nodes	Cost
0	2050	5349
1	5001	4069

prune989.0ms

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

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
2.0ms	(cbrt a)
2.0ms	(cbrt a)

series970.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(cbrt a)
234.0ms	(cbrt a)
249.0ms	(cbrt a)
234.0ms	(cbrt a)

simplify178.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	42	172
1	83	160
2	195	152
3	695	152
4	4069	152
5	5001	152

prune324.0ms

Filtered

64 candidates to 56 candidates (12.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	64	7	71

Merged error: 0.0b

Counts

71 → 7

localize33.0ms

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))

rewrite97.0ms

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:

27.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
19.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series891.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
264.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
278.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
257.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify129.0ms

Algorithm

egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 2 (99.0ms)

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

prune500.0ms

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

localize31.0ms

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))

rewrite87.0ms

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:

19.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
24.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series800.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
201.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
203.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
213.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify141.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (13.0ms)

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

prune357.0ms

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

regimes136.0ms

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	32	25
1	32	25

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s

20764×

body

valid