Details

sample10.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune1.0ms

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: 12.7b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

12.7b

(/ x (+ (* x x) 1.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

5.0ms

(/ x (+ (* x x) 1.0))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(/ x (+ (* x x) 1.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	165	210
1	555	195
2	1825	192
3	5001	192

prune55.0ms

Filtered

32 candidates to 26 candidates (81.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Merged error: 0b

Counts

33 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
0.0b	(/ 1 (pow x 5))
0.1b	(/ 1 (pow x 3))
22.3b	(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

196×	`add-sqr-sqrt`
173×	`times-frac`
112×	`*-un-lft-identity`
63×	`difference-of-squares`
56×	`unpow-prod-down`
47×	`add-cube-cbrt`
40×	`sqr-pow`
26×	`cube-prod`
22×	`add-exp-log`
19×	`associate-/r*`
12×	`div-exp`
8×	`add-cbrt-cube` `add-log-exp`
7×	`distribute-lft-out--`
6×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `div-inv` `associate-/l*`
4×	`pow1` `cube-mult` `associate-+l+` `unpow3`
3×	`sub-neg` `associate-*r/` `frac-add`
2×	`cbrt-undiv` `distribute-rgt-in` `flip3--` `pow-flip` `frac-2neg` `distribute-lft-in` `clear-num` `frac-sub` `flip--` `inv-pow`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+`

Counts

4 → 227

Calls

4 calls:

54.0ms	(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
5.0ms	(/ 1 (pow x 5))
6.0ms	(/ 1 (pow x 3))
48.0ms	(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
48.0ms	(/ 1 (pow x 5))
30.0ms	(/ 1 (pow x 3))
94.0ms	(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

simplify87.0ms

Algorithm

egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	687	1905
1	2879	1620
2	5001	1619

prune250.0ms

Filtered

239 candidates to 92 candidates (38.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	239	0	239
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	239	3	242

Merged error: 0b

Counts

242 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ x (+ (* x x) 1.0)))
0.2b	(* (sqrt (/ x (+ (* x x) 1.0))) (sqrt (/ x (+ (* x x) 1.0))))
12.7b	(/ x (+ (* x x) 1.0))
12.7b	(/ x (+ (* x x) 1.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
89×	`sqrt-prod`
70×	`times-frac`
59×	`add-cube-cbrt` `*-un-lft-identity`
20×	`pow1` `swap-sqr`
18×	`associate-r` `associate-l`
14×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
9×	`sqrt-pow1` `pow1/2` `unswap-sqr`
7×	`flip3-+` `flip-+` `div-inv`
6×	`associate-/r` `associate-/l`
5×	`sqrt-div` `pow-prod-up`
4×	`add-log-exp`
3×	`pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `div-exp` `clear-num`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 178

Calls

4 calls:

6.0ms	(sqrt (/ x (+ (* x x) 1.0)))
20.0ms	(* (sqrt (/ x (+ (* x x) 1.0))) (sqrt (/ x (+ (* x x) 1.0))))
10.0ms	(/ x (+ (* x x) 1.0))
6.0ms	(/ x (+ (* x x) 1.0))

series228.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(sqrt (/ x (+ (* x x) 1.0)))
61.0ms	(* (sqrt (/ x (+ (* x x) 1.0))) (sqrt (/ x (+ (* x x) 1.0))))
53.0ms	(/ x (+ (* x x) 1.0))
59.0ms	(/ x (+ (* x x) 1.0))

simplify74.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	424	1475
1	2080	1359
2	5001	1334

prune323.0ms

Filtered

190 candidates to 136 candidates (71.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	190	3	193

Merged error: 0b

Counts

193 → 3

regimes53.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.0b

bsearch65.0ms

Steps

Iters	Range		Point
9	0.004314681149180372	39972.03059165128	411.08640916822765
10	-2.397644955912024e+34	-6.421265232192043e+16	-1.9060121890804406e+25

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	11
1	30	11

end0.0ms

sample250.0ms

Algorithm

intervals

Results

162.0ms

8000×

body

valid

Details

sample10.0ms

simplify4.0ms

prune1.0ms

localize4.0ms

rewrite6.0ms

series60.0ms

simplify53.0ms

prune55.0ms

localize11.0ms

rewrite127.0ms

series218.0ms

simplify87.0ms

prune250.0ms

localize6.0ms

rewrite50.0ms

series228.0ms

simplify74.0ms

prune323.0ms

regimes53.0ms

bsearch65.0ms

simplify1.0ms

end0.0ms

sample250.0ms

Profiling