Details

sample68.0ms

Algorithm

intervals

Results

23.0ms	368×	body	80	valid
19.0ms	399×	body	80	nan

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (99.0ms)

Iter	Nodes	Cost
0	20	24
1	40	23
2	91	23
3	213	23
4	497	22
5	1049	22
6	1800	22
7	4349	22
done	5000	22

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.1b

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) (- 0.91893853320467 x)))
5.8b	(/ (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:

10.0ms	(* (+ 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) (- 0.91893853320467 x)))
2.0ms	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

series310.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (+ y 0.0007936500793651) z)
52.0ms	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
143.0ms	(fma (log x) (- x 0.5) (+ (/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x) (- 0.91893853320467 x)))
80.0ms	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

simplify1.9s

Counts

84 → 84

Iterations

Useful iterations: 3 (851.0ms)

Iter	Nodes	Cost
0	156	1365
1	337	1339
2	938	1188
3	3039	1167
done	5000	1167

prune538.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
5.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite77.0ms

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:

33.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
8.0ms	(- (* (- x 0.5) (log x)) x)
11.0ms	(* (- x 0.5) (log x))
22.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

431.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
423.0ms	(- (* (- x 0.5) (log x)) x)
255.0ms	(* (- x 0.5) (log x))
88.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify793.0ms

Counts

128 → 128

Iterations

Useful iterations: done (789.0ms)

Iter	Nodes	Cost
0	238	1852
1	570	1682
2	1576	1549
done	5000	1505

prune507.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.5b

localize18.0ms

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) (/ 1 x)) (- 0.91893853320467 x)))
5.9b	(* (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) (/ 1 x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
16×	`associate-r`
15×	`add-exp-log`
14×	`add-cube-cbrt`
11×	`times-frac` `add-cbrt-cube`
8×	`pow1`
7×	`associate-l`
5×	`prod-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-unprod`
2×	`div-exp` `pow-prod-down` `associate-l/` `-commutative` `fma-udef`
1×	`cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `associate-*r/` `un-div-inv` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 81

Calls

4 calls:

10.0ms	(* (+ 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) (/ 1 x)) (- 0.91893853320467 x)))
12.0ms	(* (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) (/ 1 x))

series290.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ y 0.0007936500793651) z)
38.0ms	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
133.0ms	(fma (log x) (- x 0.5) (+ (* (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) (/ 1 x)) (- 0.91893853320467 x)))
81.0ms	(* (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) (/ 1 x))

simplify2.6s

Counts

93 → 93

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	179	1531
1	427	1417
2	1218	1204
3	4129	1183
done	5000	1183

prune376.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 3.5b

localize16.0ms

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) (- 0.91893853320467 x)))
5.8b	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

rewrite20.0ms

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:

10.0ms	(* (+ 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) (- 0.91893853320467 x)))
2.0ms	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

series294.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ y 0.0007936500793651) z)
39.0ms	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
141.0ms	(fma (log x) (- x 0.5) (+ (/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x) (- 0.91893853320467 x)))
77.0ms	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

simplify1.9s

Counts

84 → 84

Iterations

Useful iterations: 3 (809.0ms)

Iter	Nodes	Cost
0	156	1365
1	337	1339
2	938	1188
3	3039	1167
done	5000	1167

prune300.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 3.5b

regimes563.0ms

Accuracy

83.8% (0.3b remaining)

Error of 4.0b against oracle of 3.7b and baseline of 5.8b

bsearch62.0ms

Steps

Iters	Range		Point
6	7.651228727148943e+57	9.07831133170942e+58	3.1780022650074035e+58

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	51
1	35	51
done	35	51

end0.0ms

sample1.6s

Algorithm

intervals

Results

612.0ms	11689×	body	80	valid
518.0ms	11638×	body	80	nan