Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

335×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	17	3
2	21	3
3	23	3
4	24	3
5	24	3

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: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (- (* x x) 3.0) 6.0)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`times-frac`
10×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-/l*` `difference-of-squares`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 36

Calls

1 calls:

6.0ms

(/ (- (* x x) 3.0) 6.0)

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(/ (- (* x x) 3.0) 6.0)

simplify64.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	182	228
1	585	214
2	2311	212
3	5001	211

prune67.0ms

Filtered

39 candidates to 32 candidates (82.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	4	40

Merged error: 0b

Counts

40 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 0.16666666666666666 (pow x 2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

5.0ms

(* 0.16666666666666666 (pow x 2))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* 0.16666666666666666 (pow x 2))

simplify72.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	109	108
1	408	93
2	2002	93
3	5001	92

prune43.0ms

Filtered

32 candidates to 20 candidates (62.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Merged error: 0b

Counts

36 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.2b	(* x (sqrt 0.16666666666666666))
0.2b	(* x (sqrt 0.16666666666666666))
0.3b	(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
19×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
17×	`add-sqr-sqrt`
13×	`associate-r`
10×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-prod`
7×	`associate-l`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

3 → 84

Calls

3 calls:

5.0ms	(* x (sqrt 0.16666666666666666))
5.0ms	(* x (sqrt 0.16666666666666666))
8.0ms	(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

series155.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* x (sqrt 0.16666666666666666))
39.0ms	(* x (sqrt 0.16666666666666666))
72.0ms	(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

simplify131.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (125.0ms)

Iter	Nodes	Cost
0	142	336
1	657	266
2	3661	262
3	5001	257

prune90.0ms

Filtered

93 candidates to 46 candidates (49.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	93	4	97

Merged error: 0b

Counts

97 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (sqrt 3.0))
0.0b	(/ (- x (sqrt 3.0)) 6.0)
0.0b	(- x (sqrt 3.0))
0.7b	(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
40×	`add-cube-cbrt`
37×	`times-frac`
22×	`associate-r`
18×	`prod-diff`
17×	`sqrt-prod`
16×	`difference-of-squares`
11×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `add-log-exp`
6×	`pow1` `associate-/l*`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`fma-def` `flip3-+` `fma-neg` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative`

Counts

4 → 147

Calls

4 calls:

4.0ms	(+ x (sqrt 3.0))
11.0ms	(/ (- x (sqrt 3.0)) 6.0)
5.0ms	(- x (sqrt 3.0))
13.0ms	(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series314.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ x (sqrt 3.0))
70.0ms	(/ (- x (sqrt 3.0)) 6.0)
40.0ms	(- x (sqrt 3.0))
163.0ms	(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	449	1171
1	2081	954
2	5001	928

prune203.0ms

Filtered

159 candidates to 102 candidates (64.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	159	4	163

Merged error: 0b

Counts

163 → 4

regimes13.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	6
1	8	6

end0.0ms

sample313.0ms

Algorithm

intervals

Results

190.0ms

10630×

body

valid