Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	274×	body	80	nan
9.0ms	256×	body	80	valid

simplify76.0ms

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

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)))))
0.1b	(* 3.0 (* v v))

rewrite43.0ms

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)))
17.0ms	(* (* (/ (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))

series616.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- 1.0 (* 3.0 (* v v)))
321.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
205.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
26.0ms	(* 3.0 (* v v))

simplify98.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (81.0ms)

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

prune424.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
0.0b	(log (* (* (/ (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)))))
0.1b	(* 3.0 (* v v))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
34×	`frac-times` `log-div`
28×	`sqrt-div`
26×	`flip3--` `flip--`
25×	`associate-l`
24×	`add-exp-log`
23×	`pow1`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`associate-*r/`
17×	`exp-diff` `associate-*l/` `sqrt-prod`
14×	`add-cbrt-cube`
10×	`pow-prod-down` `prod-exp`
7×	`associate-r` `unswap-sqr`
6×	`exp-prod` `log-pow`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `rem-log-exp` `log1p-expm1-u` `add-log-exp`
2×	`log-prod` `div-exp` `*-commutative`
1×	`cbrt-undiv` `exp-sum` `div-inv` `rem-exp-log`

Counts

4 → 143

Calls

4 calls:

13.0ms	(exp (log (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
18.0ms	(log (* (* (/ (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))

series1.3s

Counts

4 → 12

Calls

4 calls:

317.0ms	(exp (log (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
737.0ms	(log (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
213.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

simplify115.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	1058	2138
1	4592	2023
2	5001	2019

prune545.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 3.0 (* v v)) (* 3.0 (* v v)))
0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (* v v))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

133×	`pow1`
75×	`pow-prod-down`
55×	`add-exp-log` `add-cbrt-cube`
36×	`prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `associate-l`
9×	`pow-sqr` `pow-prod-up`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`pow-plus` `unswap-sqr`
1×	`pow2` `swap-sqr`

Counts

4 → 125

Calls

4 calls:

12.0ms	(* (* 3.0 (* v v)) (* 3.0 (* v v)))
6.0ms	(* 3.0 (* v v))
6.0ms	(* 3.0 (* v v))
6.0ms	(* 3.0 (* v v))

series120.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* 3.0 (* v v)) (* 3.0 (* v v)))
25.0ms	(* 3.0 (* v v))
31.0ms	(* 3.0 (* v v))
26.0ms	(* 3.0 (* v v))

simplify143.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	204	556
1	788	379
2	4143	349
3	5002	349

prune247.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes45.0ms

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

sample747.0ms

Algorithm

intervals

Results

284.0ms	8000×	body	80	valid
277.0ms	7966×	body	80	nan