Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	273×	body	80	nan
9.0ms	256×	body	80	valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	194	10
3	416	10
4	816	10
5	1207	10
6	1368	10
7	1505	10
8	1511	10
9	1511	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

localize16.0ms

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×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `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 → 92

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))

series315.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
209.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

simplify50.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	487	834
1	1782	796
2	5002	792

prune261.0ms

Filtered

101 candidates to 72 candidates (71.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	2	102

Merged error: 0b

Counts

102 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
25×	`associate-l`
20×	`times-frac`
19×	`sqrt-prod`
14×	`pow1` `add-exp-log` `log-pow` `add-cbrt-cube`
12×	`exp-prod`
11×	`associate-r`
9×	`log-prod`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`sqrt-div` `*-commutative`
1×	`cbrt-undiv` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `div-exp` `rem-log-exp` `associate-*l/` `flip--` `div-inv`

Counts

4 → 115

Calls

4 calls:

3.0ms	(log (exp (sqrt (- 1.0 (* 3.0 (* v v))))))
3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
13.0ms	(* (/ (sqrt 2.0) 4.0) (log (exp (sqrt (- 1.0 (* 3.0 (* v v)))))))
6.0ms	(* 3.0 (* v v))

series392.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(log (exp (sqrt (- 1.0 (* 3.0 (* v v))))))
80.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
207.0ms	(* (/ (sqrt 2.0) 4.0) (log (exp (sqrt (- 1.0 (* 3.0 (* v v)))))))
24.0ms	(* 3.0 (* v v))

simplify52.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	538	1100
1	1901	988
2	5001	978

prune376.0ms

Filtered

127 candidates to 96 candidates (75.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	127	2	129

Merged error: 0b

Counts

129 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

66×	`pow1`
40×	`add-sqr-sqrt`
32×	`associate-l`
28×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-pow1`
27×	`pow-prod-down`
21×	`add-exp-log` `add-cbrt-cube`
20×	`times-frac`
17×	`sqrt-prod`
16×	`associate-r`
10×	`pow1/2` `pow-prod-up`
9×	`prod-exp` `cbrt-unprod`
7×	`log-pow`
6×	`log-prod` `exp-prod` `associate-*l/` `pow-sqr` `unswap-sqr`
4×	`expm1-log1p-u` `sqrt-div` `swap-sqr` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in`
1×	`cbrt-undiv` `pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-*r/` `div-exp` `rem-square-sqrt` `div-inv`

Counts

4 → 153

Calls

4 calls:

20.0ms	(* (/ (sqrt 2.0) 4.0) (log (exp (sqrt (- 1.0 (* 3.0 (* v v)))))))
6.0ms	(* 3.0 (* v v))
6.0ms	(* 3.0 (* v v))
18.0ms	(* (sqrt (* (/ (sqrt 2.0) 4.0) (log (exp (sqrt (- 1.0 (* 3.0 (* v v)))))))) (sqrt (* (/ (sqrt 2.0) 4.0) (log (exp (sqrt (- 1.0 (* 3.0 (* v v)))))))))

series504.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (/ (sqrt 2.0) 4.0) (log (exp (sqrt (- 1.0 (* 3.0 (* v v)))))))
24.0ms	(* 3.0 (* v v))
24.0ms	(* 3.0 (* v v))
250.0ms	(* (sqrt (* (/ (sqrt 2.0) 4.0) (log (exp (sqrt (- 1.0 (* 3.0 (* v v)))))))) (sqrt (* (/ (sqrt 2.0) 4.0) (log (exp (sqrt (- 1.0 (* 3.0 (* v v)))))))))

simplify76.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	587	1523
1	2647	1255
2	5001	1226

prune671.0ms

Filtered

165 candidates to 102 candidates (61.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	165	2	167

Merged error: 0b

Counts

167 → 2

regimes26.0ms

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

sample699.0ms

Algorithm

intervals

Results

273.0ms	8000×	body	80	valid
250.0ms	7730×	body	80	nan