Details

analyze1.0ms

Algorithm: search

sample13.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune2.0ms

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: 15.5b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) 1.0)
15.5b	(/ x (+ (* x x) 1.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

4.0ms	(+ (* x x) 1.0)
5.0ms	(/ x (+ (* x x) 1.0))

series8.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ (* x x) 1.0)
4.0ms	(/ x (+ (* x x) 1.0))

simplify110.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	194	267
1	717	245
2	3039	242
3	5002	242

prune68.0ms

Filtered

37 candidates to 46 candidates (-24.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	2	47

Merged error: 0b

Counts

47 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* x x) 3)
1.1b	(/ x (+ (pow (* x x) 3) (pow 1.0 3)))
13.2b	(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
23.5b	(* (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
31×	`times-frac`
30×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
21×	`associate-l`
14×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-log-exp`
7×	`sum-cubes` `distribute-lft-out`
6×	`pow-pow`
5×	`flip3-+` `associate-/r*` `flip-+`
4×	`associate-/r/`
3×	`pow-unpow` `associate-r` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `associate-+r+` `associate-*r/` `div-exp` `pow-prod-down` `pow-exp` `sum-log` `div-inv` `rem-cube-cbrt` `unswap-sqr`
1×	`+-commutative` `pow2` `distribute-rgt-in` `cube-mult` `pow-to-exp` `associate-+r-` `sub-neg` `unpow-prod-down` `frac-2neg` `distribute-lft-in` `pow-plus` `diff-log` `unpow3` `cube-prod` `associate-l/` `clear-num` `pow-sqr` `-commutative` `pow-prod-up` `sqr-pow`

Counts

4 → 124

Calls

4 calls:

4.0ms	(pow (* x x) 3)
10.0ms	(/ x (+ (pow (* x x) 3) (pow 1.0 3)))
11.0ms	(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
24.0ms	(* (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

series38.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(pow (* x x) 3)
20.0ms	(/ x (+ (pow (* x x) 3) (pow 1.0 3)))
4.0ms	(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
9.0ms	(* (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

simplify102.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	663	1449
1	3386	1262
2	5001	1246

prune242.0ms

Filtered

99 candidates to 136 candidates (-37.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	136	2	138

Merged error: 0b

Counts

138 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 x) (- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5)))))
0.1b	(/ 1.0 (pow x 3))
0.2b	(/ 1 (pow x 5))
22.2b	(- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

59×	`times-frac`
52×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
45×	`add-cube-cbrt`
24×	`unpow-prod-down`
19×	`associate-/r*`
18×	`add-exp-log`
12×	`cube-prod`
11×	`add-log-exp`
9×	`div-exp`
8×	`frac-sub` `add-cbrt-cube` `sqr-pow`
6×	`associate-/l*`
4×	`pow1` `cube-mult` `pow-to-exp` `diff-log` `unpow3` `pow-exp` `div-inv`
3×	`sub-neg` `rec-exp` `flip3--` `1-exp` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `associate--r+`
1×	`pow-flip` `inv-pow` `associate--r-`

Counts

4 → 158

Calls

4 calls:

17.0ms	(- (/ 1 x) (- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5)))))
5.0ms	(/ 1.0 (pow x 3))
5.0ms	(/ 1 (pow x 5))
14.0ms	(- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5))))

series22.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(- (/ 1 x) (- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5)))))
3.0ms	(/ 1.0 (pow x 3))
4.0ms	(/ 1 (pow x 5))
10.0ms	(- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5))))

simplify86.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	529	1077
1	2934	970
2	5001	965

prune198.0ms

Filtered

89 candidates to 170 candidates (-91.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	170	2	172

Merged error: 0b

Counts

172 → 2

regimes34.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 26.8b

bsearch39.0ms

Steps

Iters	Range		Point
10	0.00011762830312052143	12136933.097539604	407.78509480049917
9	-195700104289.33517	-241.81974140055837	-128910779844.2735

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	22
1	40	22

end0.0ms

analyze1.0ms

Algorithm: search

sample247.0ms

Algorithm

intervals

Results

167.0ms

8000×

body

valid

Details

analyze1.0ms

sample13.0ms

simplify3.0ms

prune2.0ms

localize4.0ms

rewrite10.0ms

series8.0ms

simplify110.0ms

prune68.0ms

localize15.0ms

rewrite53.0ms

series38.0ms

simplify102.0ms

prune242.0ms

localize11.0ms

rewrite46.0ms

series22.0ms

simplify86.0ms

prune198.0ms

regimes34.0ms

bsearch39.0ms

simplify1.0ms

end0.0ms

analyze1.0ms

sample247.0ms

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