Details

sample63.0ms

Algorithm

intervals

Results

16.0ms	250×	body	80	valid
3.0ms	15×	body	320	valid
2.0ms	10×	body	640	valid
1.0ms	4×	body	1280	valid
1.0ms	6×	body	160	valid

simplify5.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
6	2502
5	895
4	343
3	126
2	46
1	23
0	11

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.8b

localize46.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
11.8b	(fma (- y z) (/ (- t x) (- a z)) x)

rewrite58.0ms

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:

51.0ms	(/ (- t x) (- a z))
2.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

series344.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(/ (- t x) (- a z))
230.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

simplify3.3s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
3	2139
2	660
1	276
0	120

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.3b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- t x) (/ 1 (- a z)))
11.8b	(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

rewrite106.0ms

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:

21.0ms	(/ 1 (- a z))
69.0ms	(* (- t x) (/ 1 (- a z)))
1.0ms	(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

series353.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ 1 (- a z))
94.0ms	(* (- t x) (/ 1 (- a z)))
215.0ms	(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

simplify6.7s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
3	4043
2	1308
1	373
0	158

prune1.7s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.2b

localize48.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
11.8b	(fma (- y z) (/ (- t x) (- a z)) x)

rewrite80.0ms

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:

67.0ms	(/ (- t x) (- a z))
2.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

series343.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(/ (- t x) (- a z))
245.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

simplify3.6s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
3	2139
2	660
1	276
0	120

prune1.1s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 5.2b

localize56.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- t x))
2.3b	(+ (/ (- y z) (/ (- a z) (- t x))) x)
6.0b	(/ (- y z) (/ (- a z) (- t x)))

rewrite649.0ms

Algorithm

rewrite-expression-head

Rules

610×	`times-frac`
572×	`*-un-lft-identity`
570×	`add-sqr-sqrt`
200×	`add-cube-cbrt`
185×	`distribute-lft-out--` `difference-of-squares`
160×	`fma-def`
36×	`associate-/r*`
26×	`associate-/r/`
14×	`flip3--` `div-inv` `flip--`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`expm1-log1p-u` `pow1` `div-sub` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `flip3-+` `associate-+l-` `flip-+` `distribute-lft-out`

Counts

3 → 443

Calls

3 calls:

59.0ms	(/ (- a z) (- t x))
430.0ms	(+ (/ (- y z) (/ (- a z) (- t x))) x)
65.0ms	(/ (- y z) (/ (- a z) (- t x)))

series1.2s

Counts

3 → 9

Calls

3 calls:

132.0ms	(/ (- a z) (- t x))
404.0ms	(+ (/ (- y z) (/ (- a z) (- t x))) x)
651.0ms	(/ (- y z) (/ (- a z) (- t x)))

simplify5.1s

Counts

452 → 452

Iterations

Iter	Nodes
done	5001
2	3834
1	1152
0	361

prune5.2s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 2.5b

regimes2.4s

Accuracy

16.3% (6.6b remaining)

Error of 10.3b against oracle of 3.7b and baseline of 11.6b

bsearch173.0ms

Steps

Iters	Range		Point
8	5.108312120969135e-178	5.5104307175624145e-174	1.082916304047229e-175
8	-4.535093393717798e-77	-8.512415071153562e-82	-2.0167221434791827e-79

simplify12.0ms

Iterations

Iter	Nodes
done	35
1	35
0	32

end0.0ms

sample1.9s

Algorithm

intervals

Results

579.0ms	7809×	body	80	valid
367.0ms	252×	body	160	valid
189.0ms	463×	body	640	valid
106.0ms	284×	body	1280	valid
68.0ms	411×	body	320	valid
4.0ms	11×	body	2560	valid