Details

sample85.0ms

Algorithm

intervals

Results

31.0ms	381×	body	80	nan
26.0ms	382×	body	80	valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (197.0ms)

Iter	Nodes	Cost
0	20	518
1	40	493
2	92	493
3	265	493
4	921	468
5	4181	468
done	5000	468

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
0.1b	(- (fma (- x 0.5) (log x) 0.91893853320467) x)
0.3b	(fma (- x 0.5) (log x) 0.91893853320467)
6.0b	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
9×	`times-frac` `prod-diff`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`associate-/r` `fma-neg` `fma-udef` `associate-/l`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `associate--l+` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 78

Calls

4 calls:

0.0ms	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
5.0ms	(- (fma (- x 0.5) (log x) 0.91893853320467) x)
0.0ms	(fma (- x 0.5) (log x) 0.91893853320467)
4.0ms	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

series940.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
406.0ms	(- (fma (- x 0.5) (log x) 0.91893853320467) x)
356.0ms	(fma (- x 0.5) (log x) 0.91893853320467)
132.0ms	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

simplify1.4s

Counts

90 → 90

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	168	31168
1	377	28259
2	1229	26336
done	5000	26186

prune819.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.3b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
0.1b	(fma x (log x) (- 0.91893853320467 (fma (log x) 0.5 x)))
0.2b	(- 0.91893853320467 (fma (log x) 0.5 x))
6.0b	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
9×	`times-frac` `prod-diff`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`associate-/r` `fma-neg` `fma-udef` `associate-/l`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 78

Calls

4 calls:

0.0ms	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
0.0ms	(fma x (log x) (- 0.91893853320467 (fma (log x) 0.5 x)))
7.0ms	(- 0.91893853320467 (fma (log x) 0.5 x))
4.0ms	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

47.0ms	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
678.0ms	(fma x (log x) (- 0.91893853320467 (fma (log x) 0.5 x)))
282.0ms	(- 0.91893853320467 (fma (log x) 0.5 x))
132.0ms	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

simplify1.2s

Counts

90 → 90

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	178	32257
1	370	29325
2	1261	27300
done	5002	25627

prune911.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.1b

localize68.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
0.1b	(fma x (log x) (- (- 0.91893853320467 (* (log x) 0.5)) x))
0.3b	(- 0.91893853320467 (* (log x) 0.5))
6.0b	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`associate-/r` `fma-neg` `prod-diff` `associate-/l`
2×	`fma-udef`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--`

Counts

4 → 69

Calls

4 calls:

0.0ms	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
0.0ms	(fma x (log x) (- (- 0.91893853320467 (* (log x) 0.5)) x))
9.0ms	(- 0.91893853320467 (* (log x) 0.5))
8.0ms	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

63.0ms	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
783.0ms	(fma x (log x) (- (- 0.91893853320467 (* (log x) 0.5)) x))
261.0ms	(- 0.91893853320467 (* (log x) 0.5))
128.0ms	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

simplify1.4s

Counts

81 → 81

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	156	26493
1	343	24436
2	1326	23794
done	5000	23724

prune750.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.1b

localize74.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
0.1b	(fma x (log x) (- (- 0.91893853320467 (* (log x) 0.5)) x))
0.3b	(- 0.91893853320467 (* (log x) 0.5))
6.2b	(* (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) (/ 1 x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`associate-r` `add-exp-log`
11×	`times-frac`
9×	`add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u`
3×	`fma-neg` `associate-l` `prod-diff` `unswap-sqr`
2×	`div-exp` `cbrt-unprod` `fma-udef`
1×	`cbrt-undiv` `rec-exp` `sub-neg` `flip3--` `diff-log` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv` `flip--`

Counts

4 → 78

Calls

4 calls:

1.0ms	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
0.0ms	(fma x (log x) (- (- 0.91893853320467 (* (log x) 0.5)) x))
5.0ms	(- 0.91893853320467 (* (log x) 0.5))
13.0ms	(* (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) (/ 1 x))

series1.0s

Counts

4 → 12

Calls

4 calls:

66.0ms	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
661.0ms	(fma x (log x) (- (- 0.91893853320467 (* (log x) 0.5)) x))
190.0ms	(- 0.91893853320467 (* (log x) 0.5))
98.0ms	(* (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) (/ 1 x))

simplify2.1s

Counts

90 → 90

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	179	29433
1	433	25473
2	1896	24598
done	5001	24423

prune718.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.1b

regimes410.0ms

Accuracy

92.8% (0.2b remaining)

Error of 4.2b against oracle of 4.0b and baseline of 6.3b

bsearch123.0ms

Steps

Iters	Range		Point
9	383123.6636286385	631776370996477.2	97714149.37215932

simplify13.0ms

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	34	1149
1	43	1149
done	43	1149

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.7s	11707×	body	80	nan
1.5s	11827×	body	80	valid