Details

sample43.0ms

Algorithm

intervals

Results

17.0ms	248×	body	80	valid
4.0ms	18×	body	640	valid
3.0ms	15×	body	320	valid
3.0ms	8×	body	1280	valid
2.0ms	12×	body	160	valid
1.0ms	2×	body	2560	valid

simplify809.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
5	895
4	343
3	126
2	46
1	23
0	11

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
17.2b	(fma (- y z) (/ (- t x) (- a z)) x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 66

Calls

2 calls:

21.0ms	(/ (- t x) (- a z))
0.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

series221.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(/ (- t x) (- a z))
134.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

simplify545.0ms

Counts

72 → 72

Iterations

Iter	Nodes
done	2001
2	663
1	276
0	120

prune385.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.4b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- t x) (/ 1 (- a z)))
17.2b	(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r` `associate-l*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 108

Calls

3 calls:

9.0ms	(/ 1 (- a z))
37.0ms	(* (- t x) (/ 1 (- a z)))
0.0ms	(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

series208.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ 1 (- a z))
57.0ms	(* (- t x) (/ 1 (- a z)))
99.0ms	(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

simplify613.0ms

Counts

117 → 117

Iterations

Iter	Nodes
done	2000
2	1195
1	373
0	158

prune466.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.9b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
17.2b	(fma (- y z) (/ (- t x) (- a z)) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 66

Calls

2 calls:

27.0ms	(/ (- t x) (- a z))
0.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

series166.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ (- t x) (- a z))
109.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

simplify538.0ms

Counts

72 → 72

Iterations

Iter	Nodes
done	2001
2	663
1	276
0	120

prune267.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.9b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- t x))
0.5b	(cbrt (- t x))
0.5b	(cbrt (- t x))
17.2b	(fma (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (/ (- a z) (cbrt (- t x)))) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 65

Calls

4 calls:

3.0ms	(cbrt (- t x))
3.0ms	(cbrt (- t x))
3.0ms	(cbrt (- t x))
0.0ms	(fma (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (/ (- a z) (cbrt (- t x)))) x)

series560.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (- t x))
152.0ms	(cbrt (- t x))
144.0ms	(cbrt (- t x))
115.0ms	(fma (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (/ (- a z) (cbrt (- t x)))) x)

simplify676.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	2003
3	1093
2	430
1	203
0	98

prune470.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 3.9b

regimes434.0ms

Accuracy

27.5% (8.2b remaining)

Error of 11.8b against oracle of 3.6b and baseline of 14.9b

bsearch96.0ms

Steps

Iters	Range		Point
8	4.1993273437329335e-163	1.5323158258855582e-158	1.5053374860442935e-158
3	-7.018127944983211e-195	-5.963673171217224e-195	-6.89686633134571e-195

simplify5.0ms

Iterations

Iter	Nodes
done	24
1	24
0	21

end0.0ms

sample1.9s

Algorithm

intervals

Results

847.0ms	7748×	body	80	valid
410.0ms	437×	body	320	valid
141.0ms	476×	body	640	valid
102.0ms	273×	body	1280	valid
43.0ms	272×	body	160	valid
29.0ms	19×	body	2560	valid