Details

sample42.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
14.0ms	279×	body	80	nan

simplify65.0ms

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

prune3.0ms

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 3 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b	(* 3.0 (* v v))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
25×	`associate-l`
22×	`times-frac`
20×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
7×	`associate-r` `unswap-sqr`
6×	`sqrt-div`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down`
3×	`flip3--` `flip--` `add-log-exp`
2×	`frac-times` `associate-r/` `-commutative`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `div-inv`

Counts

3 → 86

Calls

3 calls:

3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
11.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))

series19.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify52.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	471	805
1	1718	768
2	5002	764

prune176.0ms

Filtered

66 candidates to 95 candidates (-43.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	2	96

Merged error: 0b

Counts

96 → 2

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b	(* 3.0 (* v v))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
25×	`associate-l`
22×	`times-frac`
20×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
7×	`associate-r` `unswap-sqr`
6×	`sqrt-div`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down`
3×	`flip3--` `flip--` `add-log-exp`
2×	`frac-times` `associate-r/` `-commutative`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `div-inv`

Counts

3 → 86

Calls

3 calls:

3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
11.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))

series19.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify52.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	471	805
1	1718	768
2	5002	764

prune202.0ms

Filtered

66 candidates to 95 candidates (-43.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	95	2	97

Merged error: 0b

Counts

97 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b	(* 3.0 (* v v))
1.0b	(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
11.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))
9.0ms	(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

series39.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
10.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms	(* 3.0 (* v v))
20.0ms	(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

simplify91.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	660	1121
1	2886	1094
2	5002	1091

prune301.0ms

Filtered

89 candidates to 127 candidates (-42.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	127	2	129

Merged error: 0b

Counts

129 → 2

regimes51.0ms

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	19	12
1	19	12

end0.0ms

sample1.0s

Algorithm

intervals

Results

405.0ms	8000×	body	80	valid
397.0ms	7955×	body	80	nan

Details

sample42.0ms

simplify65.0ms

prune3.0ms

localize11.0ms

rewrite23.0ms

series19.0ms

simplify52.0ms

prune176.0ms

localize18.0ms

rewrite24.0ms

series19.0ms

simplify52.0ms

prune202.0ms

localize17.0ms

rewrite34.0ms

series39.0ms

simplify91.0ms

prune301.0ms

regimes51.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

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