Details

sample45.0ms

Algorithm

intervals

Results

12.0ms	252×	body	80	valid
4.0ms	21×	body	640	valid
2.0ms	9×	body	1280	valid
2.0ms	15×	body	320	valid
1.0ms	9×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3874
5	979
4	326
3	116
2	45
1	20
0	11

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
3.3b	(fma (/ (- z t) (- a t)) (- y x) x)

rewrite30.0ms

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/` `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 → 64

Calls

2 calls:

26.0ms	(/ (- z t) (- a t))
0.0ms	(fma (/ (- z t) (- a t)) (- y x) x)

series268.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(/ (- z t) (- a t))
170.0ms	(fma (/ (- z t) (- a t)) (- y x) x)

simplify2.3s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4602
2	861
1	272
0	116

prune562.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.9b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
4.8b	(fma (* (- z t) (/ 1 (- a t))) (- y x) x)

rewrite55.0ms

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` `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 → 105

Calls

3 calls:

10.0ms	(/ 1 (- a t))
41.0ms	(* (- z t) (/ 1 (- a t)))
0.0ms	(fma (* (- z t) (/ 1 (- a t))) (- y x) x)

series245.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ 1 (- a t))
58.0ms	(* (- z t) (/ 1 (- a t)))
145.0ms	(fma (* (- z t) (/ 1 (- a t))) (- y x) x)

simplify4.3s

Counts

114 → 114

Iterations

Iter	Nodes
done	5002
2	2820
1	364
0	152

prune638.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.9b

localize68.0ms

Local error

Found 4 expressions with local error:

2.6b	(cbrt (* (- z t) (/ 1 (- a t))))
2.6b	(cbrt (* (- z t) (/ 1 (- a t))))
2.6b	(cbrt (* (- z t) (/ 1 (- a t))))
3.3b	(fma (* (* (cbrt (* (- z t) (/ 1 (- a t)))) (cbrt (* (- z t) (/ 1 (- a t))))) (cbrt (* (- z t) (/ 1 (- a t))))) (- y x) x)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
6×	`frac-times` `flip3--` `associate-*l/` `flip--`
4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-*r/` `un-div-inv`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

21.0ms	(cbrt (* (- z t) (/ 1 (- a t))))
22.0ms	(cbrt (* (- z t) (/ 1 (- a t))))
12.0ms	(cbrt (* (- z t) (/ 1 (- a t))))
0.0ms	(fma (* (* (cbrt (* (- z t) (/ 1 (- a t)))) (cbrt (* (- z t) (/ 1 (- a t))))) (cbrt (* (- z t) (/ 1 (- a t))))) (- y x) x)

series1.5s

Counts

4 → 12

Calls

4 calls:

479.0ms	(cbrt (* (- z t) (/ 1 (- a t))))
390.0ms	(cbrt (* (- z t) (/ 1 (- a t))))
477.0ms	(cbrt (* (- z t) (/ 1 (- a t))))
202.0ms	(fma (* (* (cbrt (* (- z t) (/ 1 (- a t)))) (cbrt (* (- z t) (/ 1 (- a t))))) (cbrt (* (- z t) (/ 1 (- a t))))) (- y x) x)

simplify2.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	3877
2	728
1	240
0	113

prune858.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 3.9b

localize106.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 (- a t)))
2.6b	(cbrt (* (- z t) (/ 1 (- a t))))
2.6b	(cbrt (* (- z t) (/ 1 (- a t))))
7.2b	(fma (* (* (cbrt (* (- z t) (/ 1 (- a t)))) (cbrt (* (- z t) (/ 1 (- a t))))) (* (cbrt (- z t)) (cbrt (/ 1 (- a t))))) (- y x) x)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
19×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
13×	`cbrt-div` `add-cube-cbrt`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `frac-times` `pow1` `add-cbrt-cube` `associate-*l/` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `distribute-lft-out--` `difference-of-squares`
2×	`associate-*r/` `associate-/r/` `un-div-inv`
1×	`fma-udef` `div-inv`

Counts

4 → 76

Calls

4 calls:

10.0ms	(cbrt (/ 1 (- a t)))
33.0ms	(cbrt (* (- z t) (/ 1 (- a t))))
23.0ms	(cbrt (* (- z t) (/ 1 (- a t))))
1.0ms	(fma (* (* (cbrt (* (- z t) (/ 1 (- a t)))) (cbrt (* (- z t) (/ 1 (- a t))))) (* (cbrt (- z t)) (cbrt (/ 1 (- a t))))) (- y x) x)

series1.4s

Counts

4 → 12

Calls

4 calls:

233.0ms	(cbrt (/ 1 (- a t)))
477.0ms	(cbrt (* (- z t) (/ 1 (- a t))))
503.0ms	(cbrt (* (- z t) (/ 1 (- a t))))
183.0ms	(fma (* (* (cbrt (* (- z t) (/ 1 (- a t)))) (cbrt (* (- z t) (/ 1 (- a t))))) (* (cbrt (- z t)) (cbrt (/ 1 (- a t))))) (- y x) x)

simplify1.3s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1233
1	429
0	220

prune843.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 3.9b

regimes1.0s

Accuracy

40% (4.6b remaining)

Error of 8.3b against oracle of 3.6b and baseline of 11.4b

bsearch3.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	30
1	30
0	24

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.1s	7795×	body	80	valid
202.0ms	491×	body	640	valid
79.0ms	264×	body	1280	valid
64.0ms	372×	body	320	valid
31.0ms	267×	body	160	valid
6.0ms	20×	body	2560	valid