Details

sample62.0ms

Algorithm

intervals

Results

20.0ms	394×	body	80	nan
18.0ms	363×	body	80	valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	12
1	84	12
2	245	12
3	581	12
4	1280	12
5	2462	12
6	5001	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log x))
0.2b	(- (* (- x 0.5) (log x)) x)
0.2b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
6.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`log-prod`
12×	`associate--l+`
11×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in` `times-frac`
8×	`add-exp-log` `associate-+l+` `add-cbrt-cube`
7×	`pow1`
5×	`associate-l`
4×	`associate-r`
3×	`associate-/r` `associate-/l`
2×	`sub-neg` `flip3--` `flip3-+` `diff-log` `associate-*l/` `sum-log` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `log-pow` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

7.0ms	(* (- x 0.5) (log x))
7.0ms	(- (* (- x 0.5) (log x)) x)
10.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

250.0ms	(* (- x 0.5) (log x))
418.0ms	(- (* (- x 0.5) (log x)) x)
412.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
84.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify48.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	501	839
1	1642	776
2	5001	763

prune402.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)
6.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`cbrt-prod` `associate-+l+`
12×	`associate-+r+`
9×	`times-frac`
8×	`associate-*l/`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `flip3--` `frac-add` `flip--`
3×	`associate-/r` `associate-/l`
2×	`flip3-+` `pow1/3` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv` `distribute-lft-out`

Counts

4 → 103

Calls

4 calls:

14.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
1.0ms	(cbrt x)
2.0ms	(cbrt x)
12.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

770.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
182.0ms	(cbrt x)
174.0ms	(cbrt x)
84.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify71.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	624	1080
1	2446	943
2	5001	919

prune613.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
6.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
15.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series620.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt x)
177.0ms	(cbrt x)
175.0ms	(cbrt x)
84.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify100.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	212	462
1	697	420
2	3321	413
3	5001	410

prune482.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (- (* (+ (sqrt x) (sqrt 0.5)) (* (- (sqrt x) (sqrt 0.5)) (log x))) x) 0.91893853320467)
0.4b	(* (- (sqrt x) (sqrt 0.5)) (log x))
0.4b	(* (+ (sqrt x) (sqrt 0.5)) (* (- (sqrt x) (sqrt 0.5)) (log x)))
6.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`log-prod`
27×	`distribute-rgt-in` `distribute-lft-in`
25×	`add-cube-cbrt`
14×	`associate-+l+` `associate-l`
13×	`add-exp-log` `add-cbrt-cube`
12×	`pow1` `associate--l+`
10×	`associate-*l/`
9×	`times-frac` `add-log-exp`
8×	`sqrt-prod`
5×	`flip3-+` `associate-r` `flip-+`
4×	`frac-times` `flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `difference-of-squares`
3×	`associate-/r` `distribute-lft-out` `associate-/l`
2×	`associate-r/` `sum-log` `-commutative` `associate-/l/` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `log-pow` `div-inv` `unswap-sqr`

Counts

4 → 130

Calls

4 calls:

19.0ms	(+ (- (* (+ (sqrt x) (sqrt 0.5)) (* (- (sqrt x) (sqrt 0.5)) (log x))) x) 0.91893853320467)
9.0ms	(* (- (sqrt x) (sqrt 0.5)) (log x))
16.0ms	(* (+ (sqrt x) (sqrt 0.5)) (* (- (sqrt x) (sqrt 0.5)) (log x)))
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series801.0ms

Counts

4 → 12

Calls

4 calls:

434.0ms	(+ (- (* (+ (sqrt x) (sqrt 0.5)) (* (- (sqrt x) (sqrt 0.5)) (log x))) x) 0.91893853320467)
82.0ms	(* (- (sqrt x) (sqrt 0.5)) (log x))
200.0ms	(* (+ (sqrt x) (sqrt 0.5)) (* (- (sqrt x) (sqrt 0.5)) (log x)))
84.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify113.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	1092	1843
1	4520	1417
2	5002	1406

prune602.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 6.0b

regimes459.0ms

Accuracy

72% (0.3b remaining)

Error of 4.8b against oracle of 4.5b and baseline of 5.6b

bsearch91.0ms

Steps

Iters	Range		Point
7	3.2532963586704995e+147	2.0304881343689051e+149	1.2780464102717813e+148

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	49
1	76	49

end0.0ms

sample1.7s

Algorithm

intervals

Results

598.0ms	11528×	body	80	valid
537.0ms	11662×	body	80	nan