Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	277×	body	80	nan
9.0ms	256×	body	80	valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite31.0ms

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))))
18.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
7.0ms	(* 3.0 (* v v))

series317.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
209.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
26.0ms	(* 3.0 (* v v))

simplify55.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (46.0ms)

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

prune266.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
25×	`associate-l`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
20×	`sqrt-prod`
15×	`pow1`
14×	`add-exp-log` `add-cbrt-cube`
10×	`sqrt-div`
7×	`associate-r` `unswap-sqr`
5×	`log-div` `exp-prod` `flip3--` `exp-diff` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`expm1-log1p-u` `frac-times` `associate-*r/` `log1p-expm1-u` `add-log-exp`
2×	`associate-l/` `log-pow` `-commutative`
1×	`cbrt-undiv` `rem-sqrt-square` `log-prod` `sqrt-pow1` `pow1/2` `div-exp` `exp-sum` `div-inv` `rem-exp-log`

Counts

4 → 113

Calls

4 calls:

3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
28.0ms	(exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
18.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
7.0ms	(* 3.0 (* v v))

series530.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
206.0ms	(exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
216.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

simplify57.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	539	1099
1	2010	1052
2	5002	1047

prune391.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))
0.2b	(* 3.0 (* v v))
3.4b	(log (exp (* 3.0 (* v v))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
25×	`-un-lft-identity` `associate-l*`
22×	`add-cube-cbrt` `times-frac`
20×	`sqrt-prod`
16×	`pow1`
14×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
8×	`sqrt-div`
7×	`unswap-sqr`
6×	`exp-prod` `log-pow`
5×	`log-div` `exp-diff` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `log-prod` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
2×	`associate-l/` `-commutative` `distribute-lft-out--`
1×	`cbrt-undiv` `exp-to-pow` `div-exp` `rem-log-exp` `exp-sum` `div-inv` `rem-exp-log` `difference-of-squares`

Counts

4 → 115

Calls

4 calls:

32.0ms	(exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))))
31.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))
7.0ms	(* 3.0 (* v v))
1.0ms	(log (exp (* 3.0 (* v v))))

series469.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))))
203.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))
24.0ms	(* 3.0 (* v v))
31.0ms	(log (exp (* 3.0 (* v v))))

simplify56.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	507	1231
1	1853	1171
2	5001	1164

prune414.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
72×	`times-frac`
71×	`associate-l` `sqrt-prod`
50×	`add-exp-log`
48×	`add-cube-cbrt` `*-un-lft-identity`
44×	`cbrt-prod`
40×	`add-cbrt-cube`
23×	`prod-exp` `cbrt-unprod`
17×	`pow1`
15×	`unswap-sqr`
14×	`sqrt-div`
11×	`frac-times` `associate-*r/`
10×	`cbrt-undiv` `div-exp`
8×	`associate-r`
7×	`flip3--` `pow-prod-down` `flip--`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 188

Calls

4 calls:

3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
34.0ms	(* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))
49.0ms	(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 4.0)) (* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
7.0ms	(* 3.0 (* v v))

series768.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
394.0ms	(* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))
263.0ms	(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 4.0)) (* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
25.0ms	(* 3.0 (* v v))

simplify111.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	896	2752
1	4078	2422
2	5001	2317

prune618.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

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	21	14
1	21	14

end0.0ms

sample727.0ms

Algorithm

intervals

Results

282.0ms	8000×	body	80	valid
267.0ms	8062×	body	80	nan