Details

sample58.0ms

Algorithm

intervals

Results

18.0ms	357×	body	80	valid
17.0ms	397×	body	80	nan

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	24
1	37	24
2	83	24
3	191	24
4	419	24
5	813	24
6	1490	24
7	3850	24
done	5001	24

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.2b	(* (- x 0.5) (log x))
0.2b	(- (* (- x 0.5) (log x)) x)
6.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

20.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
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)

series800.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
257.0ms	(* (- x 0.5) (log x))
421.0ms	(- (* (- x 0.5) (log x)) x)
85.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify538.0ms

Counts

108 → 108

Iterations

Useful iterations: done (534.0ms)

Iter	Nodes	Cost
0	216	1608
1	480	1562
2	1430	1404
done	5002	1368

prune540.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
6.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite28.0ms

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:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)
25.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series605.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt x)
172.0ms	(cbrt x)
172.0ms	(cbrt x)
84.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify728.0ms

Counts

74 → 74

Iterations

Useful iterations: 3 (263.0ms)

Iter	Nodes	Cost
0	97	893
1	214	870
2	573	790
3	1696	761
done	5001	761

prune365.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
4.9b	(pow (/ 1 x) -1/3)
6.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
13×	`unpow-prod-down`
11×	`add-exp-log`
6×	`pow1` `cbrt-prod` `add-cbrt-cube`
4×	`pow-exp` `add-log-exp`
3×	`pow-unpow` `pow-pow` `div-exp` `associate-/r` `associate-/l`
2×	`pow1/3` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `rec-exp` `pow-flip` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `inv-pow` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
4.0ms	(pow (/ 1 x) -1/3)
21.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series592.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt x)
175.0ms	(cbrt x)
167.0ms	(pow (/ 1 x) -1/3)
79.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify970.0ms

Counts

95 → 95

Iterations

Useful iterations: 3 (384.0ms)

Iter	Nodes	Cost
0	168	1157
1	369	1075
2	827	985
3	2217	952
done	5000	952

prune463.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.3b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt x))
0.6b	(cbrt x)
4.9b	(pow (/ 1 x) -1/3)
6.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
13×	`unpow-prod-down`
11×	`add-exp-log`
9×	`cbrt-prod`
6×	`pow1` `add-cbrt-cube`
4×	`pow-exp` `add-log-exp`
3×	`pow-unpow` `pow-pow` `div-exp` `associate-/r` `sqrt-prod` `associate-/l`
2×	`pow1/3` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `rec-exp` `pow-flip` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `inv-pow` `sqr-pow`

Counts

4 → 86

Calls

4 calls:

1.0ms	(cbrt (sqrt x))
0.0ms	(cbrt x)
4.0ms	(pow (/ 1 x) -1/3)
21.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series702.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(cbrt (sqrt x))
182.0ms	(cbrt x)
202.0ms	(pow (/ 1 x) -1/3)
84.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.3s

Counts

98 → 98

Iterations

Useful iterations: 3 (594.0ms)

Iter	Nodes	Cost
0	197	1216
1	432	1128
2	1007	1032
3	3162	998
done	5000	998

prune474.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.3b

regimes720.0ms

Accuracy

87.5% (0.3b remaining)

Error of 3.8b against oracle of 3.5b and baseline of 5.8b

bsearch69.0ms

Steps

Iters	Range		Point
6	1.3599148473568843e+38	1.0367600217822192e+39	4.932149159571647e+38

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	81
1	67	81
done	67	81

end0.0ms

sample1.7s

Algorithm

intervals

Results

600.0ms	11767×	body	80	valid
538.0ms	12076×	body	80	nan