Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
9.0ms	250×	body	80	nan

simplify77.0ms

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

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`associate-l`
22×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
17×	`sqrt-prod`
12×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
7×	`associate-r` `unswap-sqr`
5×	`prod-exp` `cbrt-unprod`
4×	`sqrt-div` `pow-prod-down`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-r/` `-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `div-exp` `associate-*l/` `div-inv`

Counts

2 → 75

Calls

2 calls:

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

series258.0ms

Counts

2 → 6

Calls

2 calls:

232.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
26.0ms	(* 3.0 (* v v))

simplify50.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	433	680
1	1565	646
2	5001	644

prune202.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b	(* 3.0 (* v v))
1.0b	(log1p (expm1 (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
1.0b	(expm1 (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

18.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
7.0ms	(* 3.0 (* v v))
0.0ms	(log1p (expm1 (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
0.0ms	(expm1 (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

series860.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
30.0ms	(* 3.0 (* v v))
403.0ms	(log1p (expm1 (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
228.0ms	(expm1 (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

simplify53.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	535	987
1	2031	924
2	5002	921

prune311.0ms

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

sample727.0ms

Algorithm

intervals

Results

275.0ms	8000×	body	80	valid
272.0ms	7845×	body	80	nan