Details

sample29.0ms

Algorithm

intervals

Results

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

simplify58.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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))

rewrite28.0ms

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))))
17.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))

series295.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
192.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
28.0ms	(* 3.0 (* v v))

simplify47.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	471	805
1	1718	769
2	5002	764

prune235.0ms

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))

rewrite55.0ms

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×	`frac-times` `associate-*r/` `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 → 105

Calls

4 calls:

2.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
25.0ms	(exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
17.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))

series501.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
203.0ms	(exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
193.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

simplify51.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	521	1056
1	1944	1012
2	5001	1006

prune352.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

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))))

rewrite68.0ms

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×	`frac-times` `log-prod` `flip3--` `associate-*r/` `flip--`
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 → 107

Calls

4 calls:

30.0ms	(exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))))
25.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))
6.0ms	(* 3.0 (* v v))
1.0ms	(log (exp (* 3.0 (* v v))))

series453.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))))
204.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))
24.0ms	(* 3.0 (* v v))
25.0ms	(log (exp (* 3.0 (* v v))))

simplify50.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	492	1183
1	1803	1125
2	5001	1118

prune393.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b	(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))
0.2b	(* 3.0 (* v v))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-exp-log`
53×	`add-sqr-sqrt`
41×	`associate-l`
40×	`add-cbrt-cube`
36×	`times-frac` `prod-exp`
29×	`add-cube-cbrt` `*-un-lft-identity`
23×	`cbrt-unprod`
22×	`cbrt-prod`
21×	`sqrt-prod`
18×	`div-exp`
17×	`pow1`
14×	`sqrt-div`
11×	`frac-times` `associate-*r/`
10×	`cbrt-undiv`
9×	`unswap-sqr`
8×	`associate-r`
7×	`flip3--` `pow-prod-down` `flip--`
6×	`1-exp`
4×	`associate-*l/` `add-log-exp`
3×	`*-commutative`
2×	`div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 150

Calls

4 calls:

3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
20.0ms	(* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
40.0ms	(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))
6.0ms	(* 3.0 (* v v))

series653.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
337.0ms	(* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
210.0ms	(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))
24.0ms	(* 3.0 (* v v))

simplify109.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	863	2031
1	4010	1733
2	5002	1625

prune451.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

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

sample723.0ms

Algorithm

intervals

Results

275.0ms	8000×	body	80	valid
274.0ms	8062×	body	80	nan