Details

sample59.0ms

Algorithm

intervals

Results

20.0ms	390×	body	80	valid
16.0ms	357×	body	80	nan

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 7.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.1b	(* (- x 0.5) (log x))
0.1b	(- (* (- x 0.5) (log x)) x)
6.4b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite69.0ms

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:

27.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
11.0ms	(* (- x 0.5) (log x))
7.0ms	(- (* (- x 0.5) (log x)) x)
21.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

433.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
254.0ms	(* (- x 0.5) (log x))
429.0ms	(- (* (- x 0.5) (log x)) x)
82.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify46.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	501	839
1	1642	776
2	5002	763

prune386.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.8b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 0.5) (log (sqrt x)))
0.2b	(- (* (log (sqrt x)) (- x 0.5)) x)
0.2b	(+ (* (- x 0.5) (log (sqrt x))) (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467))
6.4b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

12.0ms	(* (- x 0.5) (log (sqrt x)))
6.0ms	(- (* (log (sqrt x)) (- x 0.5)) x)
70.0ms	(+ (* (- x 0.5) (log (sqrt x))) (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467))
21.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series522.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (- x 0.5) (log (sqrt x)))
159.0ms	(- (* (log (sqrt x)) (- x 0.5)) x)
178.0ms	(+ (* (- x 0.5) (log (sqrt x))) (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467))
84.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify78.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	729	1414
1	2783	1316
2	5002	1289

prune545.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.7b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- x 0.5) (* 2 (log (cbrt (sqrt x))))) (* (- x 0.5) (log (cbrt (sqrt x)))))
0.6b	(cbrt (sqrt x))
0.6b	(cbrt (sqrt x))
6.4b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-prod`
48×	`cbrt-prod`
45×	`distribute-rgt-in` `distribute-lft-in`
36×	`associate-+l+`
34×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`sqrt-prod`
18×	`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 → 127

Calls

4 calls:

22.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt (sqrt x))))) (* (- x 0.5) (log (cbrt (sqrt x)))))
1.0ms	(cbrt (sqrt x))
1.0ms	(cbrt (sqrt x))
25.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.0s

Counts

4 → 12

Calls

4 calls:

611.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt (sqrt x))))) (* (- x 0.5) (log (cbrt (sqrt x)))))
156.0ms	(cbrt (sqrt x))
152.0ms	(cbrt (sqrt x))
85.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify88.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	726	1478
1	2637	1316
2	5001	1298

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.7b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (pow (/ 1 x) -1/6)) x)
4.2b	(pow (/ 1 x) -1/6)
4.2b	(pow (/ 1 x) -1/6)
6.4b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
30×	`add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
26×	`unpow-prod-down`
18×	`add-exp-log`
10×	`pow1`
8×	`pow-exp` `add-cbrt-cube`
6×	`pow-unpow` `pow-pow`
5×	`div-exp`
4×	`associate-l` `add-log-exp`
3×	`associate-r` `associate-/r` `div-inv` `associate-/l`
2×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `associate-/l/` `inv-pow` `sqr-pow`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `pow-prod-down` `prod-exp` `clear-num` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

3.0ms	(* (log (pow (/ 1 x) -1/6)) x)
4.0ms	(pow (/ 1 x) -1/6)
4.0ms	(pow (/ 1 x) -1/6)
21.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series757.0ms

Counts

4 → 12

Calls

4 calls:

322.0ms	(* (log (pow (/ 1 x) -1/6)) x)
171.0ms	(pow (/ 1 x) -1/6)
181.0ms	(pow (/ 1 x) -1/6)
83.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	413	779
1	1595	695
2	5001	676

prune620.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.7b

regimes412.0ms

Accuracy

46.9% (0.7b remaining)

Error of 5.4b against oracle of 4.8b and baseline of 6.0b

bsearch109.0ms

Steps

Iters	Range		Point
9	5.161129455338057e+62	1.1829225377078756e+70	1.4085104796856802e+69

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	56
1	70	56

end0.0ms

sample1.7s

Algorithm

intervals

Results

627.0ms	11878×	body	80	valid
544.0ms	11845×	body	80	nan