Details

sample88.0ms

Algorithm

intervals

Results

24.0ms	241×	body	80	valid
7.0ms	25×	body	320	valid
7.0ms	18×	body	640	valid
4.0ms	8×	body	1280	valid
2.0ms	8×	body	160	valid

simplify4.8s

Counts

1 → 1

Iterations

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

prune61.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.6b

localize89.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
16.1b	(fma (/ (- t x) (- a z)) (- y z) x)

rewrite83.0ms

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:

76.0ms	(/ (- t x) (- a z))
2.0ms	(fma (/ (- t x) (- a z)) (- y z) x)

series337.0ms

Counts

2 → 6

Calls

2 calls:

141.0ms	(/ (- t x) (- a z))
196.0ms	(fma (/ (- t x) (- a z)) (- y z) x)

simplify4.6s

Counts

72 → 72

Iterations

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

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.2b

localize99.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- t x) (/ 1 (- a z)))
16.1b	(fma (* (- t x) (/ 1 (- a z))) (- y z) x)

rewrite254.0ms

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:

54.0ms	(/ 1 (- a z))
177.0ms	(* (- t x) (/ 1 (- a z)))
3.0ms	(fma (* (- t x) (/ 1 (- a z))) (- y z) x)

series476.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ 1 (- a z))
138.0ms	(* (- t x) (/ 1 (- a z)))
277.0ms	(fma (* (- t x) (/ 1 (- a z))) (- y z) x)

simplify8.3s

Counts

117 → 117

Iterations

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

prune1.8s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.2b

localize87.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
16.1b	(fma (/ (- t x) (- a z)) (- y z) x)

rewrite62.0ms

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:

55.0ms	(/ (- t x) (- a z))
2.0ms	(fma (/ (- t x) (- a z)) (- y z) x)

series359.0ms

Counts

2 → 6

Calls

2 calls:

145.0ms	(/ (- t x) (- a z))
214.0ms	(fma (/ (- t x) (- a z)) (- y z) x)

simplify4.8s

Counts

72 → 72

Iterations

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

prune1.0s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 8.2b

localize158.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
16.0b	(fma (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))) (- y z) x)

rewrite56.0ms

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:

11.0ms	(cbrt (- a z))
18.0ms	(cbrt (- a z))
21.0ms	(cbrt (- a z))
3.0ms	(fma (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))) (- y z) x)

series1.4s

Counts

4 → 12

Calls

4 calls:

347.0ms	(cbrt (- a z))
382.0ms	(cbrt (- a z))
384.0ms	(cbrt (- a z))
296.0ms	(fma (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))) (- y z) x)

simplify4.0s

Counts

77 → 77

Iterations

Iter	Nodes
done	5005
3	1438
2	467
1	207
0	99

prune1.3s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 8.2b

regimes2.7s

Accuracy

36.1% (5.1b remaining)

Error of 11.9b against oracle of 6.8b and baseline of 14.8b

bsearch7.0ms

simplify21.0ms

Iterations

Iter	Nodes
done	24
1	24
0	22

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.3s	7730×	body	80	valid
223.0ms	475×	body	640	valid
143.0ms	290×	body	1280	valid
126.0ms	418×	body	320	valid
49.0ms	297×	body	160	valid
9.0ms	18×	body	2560	valid