Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	259×	body	80	nan
8.0ms	256×	body	80	valid

simplify80.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

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)))))
0.0b	(- 1.0 (* 3.0 (* v v)))
0.1b	(* 3.0 (* v v))

rewrite130.0ms

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:

66.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
31.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
7.0ms	(- 1.0 (* 3.0 (* v v)))
20.0ms	(* 3.0 (* v v))

series583.0ms

Counts

4 → 12

Calls

4 calls:

300.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
202.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
53.0ms	(- 1.0 (* 3.0 (* v v)))
27.0ms	(* 3.0 (* v v))

simplify100.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (83.0ms)

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

prune413.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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)))))
0.0b	(- 1.0 (* 3.0 (* v v)))
0.1b	(* 3.0 (* v v))

rewrite128.0ms

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:

65.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
31.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
10.0ms	(- 1.0 (* 3.0 (* v v)))
16.0ms	(* 3.0 (* v v))

series572.0ms

Counts

4 → 12

Calls

4 calls:

300.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
193.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
52.0ms	(- 1.0 (* 3.0 (* v v)))
27.0ms	(* 3.0 (* v v))

simplify98.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (82.0ms)

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

prune490.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	12
1	19	12

end0.0ms

sample765.0ms

Algorithm

intervals

Results

269.0ms	7853×	body	80	nan
262.0ms	8000×	body	80	valid