Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	28	8
1	42	8
2	50	8
3	50	8

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
12.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
30×	`distribute-lft-out`
25×	`times-frac`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `associate-l`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
5×	`flip3-+` `associate-r` `associate-/r` `flip-+` `associate-/l`
4×	`+-commutative`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

6.0ms	(+ 0.99229 (* x 0.04481))
6.0ms	(+ 2.30753 (* x 0.27061))
8.0ms	(* x (+ 0.99229 (* x 0.04481)))
18.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series190.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ 0.99229 (* x 0.04481))
32.0ms	(+ 2.30753 (* x 0.27061))
63.0ms	(* x (+ 0.99229 (* x 0.04481)))
59.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	401	830
1	1709	782
2	5001	782

prune192.0ms

Filtered

115 candidates to 67 candidates (58.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	114	2	116

Merged error: 0b

Counts

116 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

8.1b	(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
12.6b	(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.6b	(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.6b	(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

489×	`*-un-lft-identity`
231×	`cbrt-prod`
195×	`times-frac`
182×	`distribute-lft-out`
149×	`add-sqr-sqrt`
139×	`associate-l`
101×	`add-cube-cbrt`
84×	`swap-sqr`
48×	`associate-r`
39×	`associate-/r*`
24×	`unswap-sqr`
18×	`cbrt-div`
14×	`add-cbrt-cube`
10×	`flip3-+` `flip-+`
9×	`add-exp-log`
8×	`associate-/r/`
6×	`*-commutative`
5×	`cbrt-undiv` `associate-/l*`
4×	`pow1` `frac-times` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`associate-r/` `div-exp` `associate-l/` `associate-/l/`
1×	`frac-2neg` `prod-exp` `clear-num` `div-inv`

Counts

4 → 311

Calls

4 calls:

41.0ms	(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
11.0ms	(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.0ms	(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
10.0ms	(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series636.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
146.0ms	(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
140.0ms	(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
142.0ms	(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify127.0ms

Algorithm

egg-herbie

Counts

323 → 323

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	831	6594
1	3228	6266
2	5001	5704

prune552.0ms

Filtered

323 candidates to 130 candidates (40.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	323	0	323
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	323	2	325

Merged error: 0b

Counts

325 → 2

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	20	8
1	20	8

end0.0ms

sample356.0ms

Algorithm

intervals

Results

264.0ms

8000×

body

valid