Details

sample71.0ms

Algorithm

intervals

Results

14.0ms	250×	body	80	valid
11.0ms	10×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	4×	body	1280	valid
1.0ms	6×	body	160	valid

simplify4.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1910
5	805
4	299
3	108
2	43
1	20
0	11

prune73.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.3b

localize35.0ms

Local error

Found 2 expressions with local error:

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

rewrite76.0ms

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:

66.0ms	(/ (- t x) (- a z))
1.0ms	(fma (/ (- t x) (- a z)) (- y z) x)

series368.0ms

Counts

2 → 6

Calls

2 calls:

131.0ms	(/ (- t x) (- a z))
237.0ms	(fma (/ (- t x) (- a z)) (- y z) x)

simplify3.9s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	2201
2	672
1	276
0	120

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.1b

localize41.0ms

Local error

Found 3 expressions with local error:

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

rewrite131.0ms

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:

18.0ms	(/ 1 (- a z))
103.0ms	(* (- t x) (/ 1 (- a z)))
2.0ms	(fma (* (- t x) (/ 1 (- a z))) (- y z) x)

series490.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(/ 1 (- a z))
136.0ms	(* (- t x) (/ 1 (- a z)))
285.0ms	(fma (* (- t x) (/ 1 (- a z))) (- y z) x)

simplify7.6s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
3	4064
2	1326
1	373
0	158

prune1.6s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.1b

localize50.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- t x))
0.7b	(/ 1 (/ (- a z) (- t x)))
11.8b	(fma (/ 1 (/ (- a z) (- t x))) (- y z) x)

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `div-inv` `flip--`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`div-sub` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 217

Calls

3 calls:

52.0ms	(/ (- a z) (- t x))
69.0ms	(/ 1 (/ (- a z) (- t x)))
2.0ms	(fma (/ 1 (/ (- a z) (- t x))) (- y z) x)

series765.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(/ (- a z) (- t x))
418.0ms	(/ 1 (/ (- a z) (- t x)))
252.0ms	(fma (/ 1 (/ (- a z) (- t x))) (- y z) x)

simplify3.8s

Counts

226 → 226

Iterations

Iter	Nodes
done	5002
2	2129
1	712
0	277

prune2.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.1b

localize66.0ms

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)))

rewrite610.0ms

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:

46.0ms	(/ (- a z) (- t x))
390.0ms	(+ (/ (- y z) (/ (- a z) (- t x))) x)
81.0ms	(/ (- y z) (/ (- a z) (- t x)))

series1.3s

Counts

3 → 9

Calls

3 calls:

136.0ms	(/ (- a z) (- t x))
409.0ms	(+ (/ (- y z) (/ (- a z) (- t x))) x)
742.0ms	(/ (- y z) (/ (- a z) (- t x)))

simplify5.4s

Counts

452 → 452

Iterations

Iter	Nodes
done	5001
2	3834
1	1152
0	361

prune5.0s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 2.5b

regimes3.1s

Accuracy

53.3% (3.7b remaining)

Error of 7.3b against oracle of 3.7b and baseline of 11.6b

bsearch8.0ms

simplify20.0ms

Iterations

Iter	Nodes
done	41
1	41
0	35

end0.0ms

sample1.7s

Algorithm

intervals

Results

711.0ms	7809×	body	80	valid
142.0ms	463×	body	640	valid
114.0ms	284×	body	1280	valid
72.0ms	412×	body	320	valid
58.0ms	251×	body	160	valid
5.0ms	11×	body	2560	valid