Details

sample35.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
11.0ms	238×	body	80	nan

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

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: 0.0b

Counts

2 → 1

localize14.0ms

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

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

series817.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
504.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
209.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

simplify90.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (75.0ms)

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

prune290.0ms

Filtered

140 candidates to 99 candidates (70.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	139	2	141

Merged error: 0b

Counts

141 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
29×	`associate-l`
23×	`add-cube-cbrt` `*-un-lft-identity`
22×	`times-frac`
20×	`frac-times` `log-div` `exp-diff` `sqrt-div`
17×	`sqrt-prod`
16×	`pow1` `flip3--` `add-cbrt-cube` `flip--`
15×	`add-exp-log`
12×	`associate-*r/`
11×	`associate-r`
10×	`associate-*l/`
8×	`unswap-sqr`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`exp-prod`
4×	`add-log-exp`
3×	`*-commutative`
2×	`distribute-rgt-in` `sub-neg` `log-prod` `distribute-lft-in` `exp-sum` `log-pow`
1×	`cbrt-undiv` `div-exp` `div-inv` `rem-exp-log` `difference-of-squares`

Counts

4 → 131

Calls

4 calls:

8.0ms	(exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
14.0ms	(* (exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
11.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))

series743.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
313.0ms	(* (exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
204.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

simplify85.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	757	1733
1	3199	1639
2	5001	1636

prune369.0ms

Filtered

143 candidates to 106 candidates (74.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	143	2	145

Merged error: 0b

Counts

145 → 2

regimes40.0ms

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	17	10
1	17	10

end0.0ms

sample969.0ms

Algorithm

intervals

Results

392.0ms	8000×	body	80	valid
385.0ms	8036×	body	80	nan

Details

sample35.0ms

simplify59.0ms

prune2.0ms

localize14.0ms

rewrite35.0ms

series817.0ms

simplify90.0ms

prune290.0ms

localize19.0ms

rewrite45.0ms

series743.0ms

simplify85.0ms

prune369.0ms

regimes40.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample969.0ms

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