Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	283×	body	80	nan
8.0ms	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

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 (- 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))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
26×	`associate-l`
23×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
20×	`sqrt-prod`
18×	`frac-times` `sqrt-div`
17×	`pow1`
15×	`flip3--` `flip--`
11×	`associate-r`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 128

Calls

4 calls:

63.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
5.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
30.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
17.0ms	(* 3.0 (* v v))

series576.0ms

Counts

4 → 12

Calls

4 calls:

289.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
74.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
187.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

simplify88.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	809	1605
1	3621	1516
2	5001	1513

prune350.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 3.0 (* v v)) (* 3.0 (* v v)))
0.2b	(* 3.0 (* v v))
0.2b	(* 3.0 (* v v))
0.2b	(* 3.0 (* v v))

rewrite136.0ms

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×	`associate-r` `*-commutative` `add-log-exp`
3×	`pow-plus` `unswap-sqr`
1×	`pow2` `swap-sqr`

Counts

4 → 117

Calls

4 calls:

82.0ms	(* (* 3.0 (* v v)) (* 3.0 (* v v)))
18.0ms	(* 3.0 (* v v))
16.0ms	(* 3.0 (* v v))
16.0ms	(* 3.0 (* v v))

series125.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* 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))

simplify141.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	200	526
1	782	349
2	4098	319
3	5001	319

prune203.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

98×	`sqrt-div`
54×	`pow1`
50×	`add-exp-log` `add-cbrt-cube`
49×	`frac-times`
29×	`associate-*r/`
27×	`prod-exp` `cbrt-unprod`
25×	`flip3--` `flip--`
23×	`pow-prod-down`
17×	`associate-*l/`
10×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`cbrt-undiv` `div-exp`
5×	`sqrt-unprod`
4×	`sqrt-undiv` `pow-sqr` `pow-prod-up` `add-log-exp`
3×	`associate-r` `sqrt-prod` `*-commutative`
2×	`pow-plus` `unswap-sqr`
1×	`pow2` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `swap-sqr` `rem-square-sqrt`

Counts

4 → 134

Calls

4 calls:

5.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
16.0ms	(* 3.0 (* v v))
18.0ms	(* 3.0 (* v v))
148.0ms	(* (* (/ (sqrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (* (/ (sqrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))))

series382.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
32.0ms	(* 3.0 (* v v))
25.0ms	(* 3.0 (* v v))
253.0ms	(* (* (/ (sqrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (* (/ (sqrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))))

simplify81.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	702	2287
1	2910	1627
2	5002	1519

prune335.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

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	24	19
1	24	19

end0.0ms

sample763.0ms

Algorithm

intervals

Results

272.0ms	8000×	body	80	valid
268.0ms	8117×	body	80	nan