Details

sample68.0ms

Algorithm

intervals

Results

22.0ms	384×	body	80	valid
21.0ms	387×	body	80	nan

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (57.0ms)

Iter	Nodes	Cost
0	20	24
1	40	23
2	91	23
3	213	23
4	493	22
5	1031	22
6	1786	22
7	4302	22
done	5000	22

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.6b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ y 0.0007936500793651) z)
0.1b	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
0.1b	(fma (log x) (- x 0.5) (+ (- (/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x) x) 0.91893853320467))
5.3b	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-/r` `associate-/l`
2×	`associate-*l/` `fma-udef`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

9.0ms	(* (+ y 0.0007936500793651) z)
0.0ms	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
0.0ms	(fma (log x) (- x 0.5) (+ (- (/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x) x) 0.91893853320467))
2.0ms	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

series280.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (+ y 0.0007936500793651) z)
42.0ms	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
129.0ms	(fma (log x) (- x 0.5) (+ (- (/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x) x) 0.91893853320467))
80.0ms	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

simplify1.7s

Counts

84 → 84

Iterations

Useful iterations: 3 (563.0ms)

Iter	Nodes	Cost
0	156	1365
1	337	1339
2	980	1188
3	4004	1167
done	5001	1167

prune326.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.7b

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))
0.2b	(- (* (- x 0.5) (log x)) x)
5.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `*-un-lft-identity`
23×	`add-cube-cbrt`
18×	`log-prod`
12×	`associate--l+`
11×	`associate-+l+` `add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in` `times-frac`
8×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`prod-diff`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`fma-def` `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` `fma-neg` `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 → 116

Calls

4 calls:

34.0ms	(+ (- (* (- 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:

434.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
265.0ms	(* (- x 0.5) (log x))
428.0ms	(- (* (- x 0.5) (log x)) x)
88.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify880.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (427.0ms)

Iter	Nodes	Cost
0	238	1852
1	564	1682
2	1879	1566
done	5001	1566

prune478.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.7b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite24.0ms

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` `expm1-log1p-u` `log1p-expm1-u` `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 → 70

Calls

4 calls:

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

series625.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
177.0ms	(cbrt x)
184.0ms	(cbrt x)
85.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.1s

Counts

82 → 82

Iterations

Useful iterations: 3 (312.0ms)

Iter	Nodes	Cost
0	101	939
1	225	870
2	647	794
3	2681	767
done	5000	767

prune416.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.7b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite23.0ms

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` `expm1-log1p-u` `log1p-expm1-u` `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 → 70

Calls

4 calls:

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

series636.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt x)
185.0ms	(cbrt x)
182.0ms	(cbrt x)
87.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.1s

Counts

82 → 82

Iterations

Useful iterations: 3 (306.0ms)

Iter	Nodes	Cost
0	101	939
1	225	870
2	647	794
3	2681	767
done	5000	767

prune388.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.7b

regimes375.0ms

Accuracy

0% (2.1b remaining)

Error of 5.8b against oracle of 3.7b and baseline of 5.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	36
1	34	36
done	34	36

end0.0ms

sample1.7s

Algorithm

intervals

Results

657.0ms	11662×	body	80	valid
560.0ms	11506×	body	80	nan