Details

sample33.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
9.0ms	270×	body	80	nan

simplify76.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 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))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
26×	`associate-l`
25×	`add-cube-cbrt` `*-un-lft-identity`
23×	`add-exp-log` `add-cbrt-cube`
22×	`times-frac`
18×	`frac-times`
17×	`sqrt-prod`
16×	`pow1` `sqrt-div`
15×	`flip3--` `flip--`
11×	`associate-r`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`prod-diff` `associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
6×	`add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `*-commutative`
2×	`cbrt-undiv` `div-exp`
1×	`diff-log` `div-inv` `difference-of-squares`

Counts

4 → 145

Calls

4 calls:

3.0ms	(- 1.0 (* 3.0 (* v v)))
13.0ms	(* (* (/ (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))

series611.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- 1.0 (* 3.0 (* v v)))
316.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
203.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
30.0ms	(* 3.0 (* v v))

simplify102.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	843	1772
1	3887	1651
2	5001	1648

prune431.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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)))))) (- 1.0 (* 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))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

145×	`add-exp-log`
83×	`prod-exp`
78×	`add-cbrt-cube`
60×	`frac-times`
55×	`add-sqr-sqrt`
51×	`cbrt-unprod`
42×	`associate-l`
40×	`associate-*r/`
36×	`times-frac` `sqrt-div`
35×	`div-exp`
31×	`add-cube-cbrt` `*-un-lft-identity`
30×	`flip3--` `flip--`
25×	`pow1`
24×	`associate-*l/`
22×	`cbrt-prod`
19×	`cbrt-undiv`
18×	`sqrt-prod`
13×	`pow-prod-down`
12×	`1-exp` `associate-r`
9×	`unswap-sqr`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `div-inv`
1×	`difference-of-squares`

Counts

4 → 230

Calls

4 calls:

14.0ms	(* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
23.0ms	(* (* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
18.0ms	(* (/ (* (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))

series907.0ms

Counts

4 → 12

Calls

4 calls:

350.0ms	(* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
314.0ms	(* (* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
218.0ms	(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))
25.0ms	(* 3.0 (* v v))

simplify66.0ms

Algorithm

egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1471	4379
1	5002	3657

prune725.0ms

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	(- 1.0 (* 3.0 (* v v)))
0.0b	(* (* (/ (cbrt (sqrt 2.0)) 1) (* (* (pow (sqrt 2.0) 1/3) (/ (cbrt (sqrt 2.0)) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
0.0b	(* (/ (cbrt (sqrt 2.0)) 1) (* (* (pow (sqrt 2.0) 1/3) (/ (cbrt (sqrt 2.0)) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
0.2b	(* 3.0 (* v v))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

231×	`add-exp-log`
154×	`prod-exp`
99×	`add-cbrt-cube`
76×	`cbrt-unprod`
62×	`associate-*r/`
58×	`frac-times`
50×	`div-exp`
35×	`associate-l`
32×	`sqrt-div`
31×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
27×	`times-frac`
23×	`pow1` `associate-*l/`
20×	`cbrt-undiv`
18×	`cbrt-prod`
16×	`1-exp`
12×	`pow-to-exp` `pow-prod-down` `pow-exp`
9×	`prod-diff` `sqrt-prod`
8×	`unpow1/3`
6×	`associate-r` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `*-commutative`
1×	`diff-log` `div-inv` `difference-of-squares` `unswap-sqr`

Counts

4 → 233

Calls

4 calls:

3.0ms	(- 1.0 (* 3.0 (* v v)))
34.0ms	(* (* (/ (cbrt (sqrt 2.0)) 1) (* (* (pow (sqrt 2.0) 1/3) (/ (cbrt (sqrt 2.0)) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
21.0ms	(* (/ (cbrt (sqrt 2.0)) 1) (* (* (pow (sqrt 2.0) 1/3) (/ (cbrt (sqrt 2.0)) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
7.0ms	(* 3.0 (* v v))

series629.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- 1.0 (* 3.0 (* v v)))
327.0ms	(* (* (/ (cbrt (sqrt 2.0)) 1) (* (* (pow (sqrt 2.0) 1/3) (/ (cbrt (sqrt 2.0)) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
220.0ms	(* (/ (cbrt (sqrt 2.0)) 1) (* (* (pow (sqrt 2.0) 1/3) (/ (cbrt (sqrt 2.0)) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
26.0ms	(* 3.0 (* v v))

simplify76.0ms

Algorithm

egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1489	4675
1	5001	3837

prune763.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (sqrt (cbrt 2.0)) (cbrt 4.0))
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-prod`
54×	`times-frac`
48×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
42×	`sqrt-prod`
9×	`associate-/l*`
6×	`add-exp-log` `associate-/r*`
5×	`add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 122

Calls

4 calls:

6.0ms	(/ (sqrt (cbrt 2.0)) (cbrt 4.0))
6.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ (sqrt (cbrt 2.0)) (cbrt 4.0))
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)

simplify67.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 4 (57.0ms)

Iter	Nodes	Cost
0	185	931
1	426	905
2	1045	893
3	2492	857
4	5001	854

prune410.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

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	28	17
1	28	17

end0.0ms

sample716.0ms

Algorithm

intervals

Results

280.0ms	8000×	body	80	valid
269.0ms	8063×	body	80	nan