Details

sample36.0ms

Algorithm

intervals

Results

12.0ms	275×	body	80	nan
12.0ms	256×	body	80	valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	182	10
3	370	10
4	713	10
5	1066	10
6	1201	10
7	1308	10
8	1308	10

prune6.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b	(* 3.0 (* v v))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
26×	`associate-l`
23×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
20×	`sqrt-prod`
18×	`frac-times` `sqrt-div`
17×	`pow1`
15×	`flip3--` `flip--`
11×	`associate-r`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 128

Calls

4 calls:

12.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
2.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
10.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
5.0ms	(* 3.0 (* v v))

series632.0ms

Counts

4 → 12

Calls

4 calls:

315.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
83.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
210.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

simplify89.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	813	1605
1	3649	1515
2	5001	1512

prune311.0ms

Filtered

140 candidates to 99 candidates (70.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	3	141

Merged error: 0b

Counts

141 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b	(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
0.1b	(* 3.0 (* v v))
1.0b	(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
25×	`associate-l`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
20×	`add-exp-log` `add-cbrt-cube`
17×	`sqrt-prod`
14×	`pow1`
12×	`sqrt-div`
10×	`cube-div`
8×	`cbrt-prod`
7×	`associate-r` `prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`frac-times` `flip3--` `associate-*r/` `flip--`
5×	`cbrt-div` `pow-prod-down`
4×	`add-log-exp`
3×	`pow-unpow` `associate-*l/` `pow-exp` `rem-cube-cbrt`
2×	`cbrt-undiv` `cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `div-exp` `*-commutative` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `rem-cbrt-cube` `div-inv`

Counts

4 → 122

Calls

4 calls:

10.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms	(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
5.0ms	(* 3.0 (* v v))
9.0ms	(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

series910.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
174.0ms	(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
32.0ms	(* 3.0 (* v v))
498.0ms	(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

simplify88.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	636	1315
1	2842	1290
2	5002	1286

prune331.0ms

Filtered

134 candidates to 95 candidates (70.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	134	3	137

Merged error: 0b

Counts

137 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt 2.0) 4.0) (cbrt (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)))
0.0b	(cbrt (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3))
0.0b	(pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)
0.1b	(* 3.0 (* v v))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

88×	`add-sqr-sqrt`
54×	`cbrt-prod`
40×	`sqrt-prod`
34×	`add-cube-cbrt` `*-un-lft-identity`
32×	`times-frac`
25×	`associate-l`
24×	`unpow-prod-down` `cube-prod`
22×	`associate-r` `unswap-sqr`
15×	`add-exp-log`
13×	`pow1` `add-cbrt-cube`
8×	`cube-div` `sqrt-div`
6×	`cbrt-div` `sqr-pow`
5×	`prod-exp` `cbrt-unprod`
4×	`flip3--` `pow-prod-down` `flip--` `add-log-exp`
3×	`cube-mult` `pow-unpow` `pow-pow` `unpow3`
2×	`frac-times` `associate-r/` `-commutative`
1×	`cbrt-undiv` `pow-to-exp` `sqrt-pow1` `pow1/2` `pow1/3` `div-exp` `associate-*l/` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 164

Calls

4 calls:

18.0ms	(* (/ (sqrt 2.0) 4.0) (cbrt (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)))
4.0ms	(cbrt (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3))
4.0ms	(pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)
6.0ms	(* 3.0 (* v v))

series524.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (/ (sqrt 2.0) 4.0) (cbrt (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)))
83.0ms	(cbrt (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3))
210.0ms	(pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)
25.0ms	(* 3.0 (* v v))

simplify86.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	687	1660
1	2892	1567
2	5001	1545

prune325.0ms

Filtered

176 candidates to 97 candidates (55.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	176	3	179

Merged error: 0b

Counts

179 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (sqrt 2.0) (fabs (cbrt (- 1.0 (* 3.0 (* v v))))))
0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (* v v))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
12×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
4×	`sqrt-prod` `add-log-exp` `unswap-sqr`
3×	`cbrt-prod` `*-commutative`
2×	`cbrt-div`
1×	`flip3--` `pow1/3` `flip--`

Counts

4 → 73

Calls

4 calls:

2.0ms	(cbrt (- 1.0 (* 3.0 (* v v))))
5.0ms	(* (sqrt 2.0) (fabs (cbrt (- 1.0 (* 3.0 (* v v))))))
6.0ms	(* 3.0 (* v v))
6.0ms	(* 3.0 (* v v))

series355.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(cbrt (- 1.0 (* 3.0 (* v v))))
50.0ms	(* (sqrt 2.0) (fabs (cbrt (- 1.0 (* 3.0 (* v v))))))
25.0ms	(* 3.0 (* v v))
32.0ms	(* 3.0 (* v v))

simplify40.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	362	599
1	1304	545
2	5001	521

prune230.0ms

Filtered

85 candidates to 58 candidates (68.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	85	3	88

Merged error: 0b

Counts

88 → 3

regimes36.0ms

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	20	12
1	20	12

end0.0ms

sample934.0ms

Algorithm

intervals

Results

376.0ms	8000×	body	80	valid
375.0ms	8057×	body	80	nan

Details

sample36.0ms

simplify59.0ms

prune6.0ms

localize11.0ms

rewrite35.0ms

series632.0ms

simplify89.0ms

prune311.0ms

localize14.0ms

rewrite31.0ms

series910.0ms

simplify88.0ms

prune331.0ms

localize20.0ms

rewrite38.0ms

series524.0ms

simplify86.0ms

prune325.0ms

localize15.0ms

rewrite20.0ms

series355.0ms

simplify40.0ms

prune230.0ms

regimes36.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample934.0ms

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