Details

sample67.0ms

Algorithm

intervals

Results

18.0ms	240×	body	80	valid
3.0ms	15×	body	320	valid
3.0ms	11×	body	640	valid
3.0ms	8×	body	1280	valid
1.0ms	6×	body	160	valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3379
5	728
4	242
3	111
2	52
1	22
0	11

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.8b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- a t))
4.2b	(fma y (/ (- t z) (- a t)) (+ y x))

rewrite54.0ms

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:

48.0ms	(/ (- t z) (- a t))
1.0ms	(fma y (/ (- t z) (- a t)) (+ y x))

series325.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(/ (- t z) (- a t))
232.0ms	(fma y (/ (- t z) (- a t)) (+ y x))

simplify2.5s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4441
2	825
1	263
0	114

prune456.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (- a t))
0.0b	(- (/ t (- a t)) (/ z (- a t)))
4.2b	(fma y (- (/ t (- a t)) (/ z (- a t))) (+ y x))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

694×	`*-un-lft-identity`
684×	`add-sqr-sqrt`
678×	`times-frac`
441×	`prod-diff`
402×	`add-cube-cbrt`
145×	`distribute-lft-out--`
139×	`difference-of-squares`
92×	`associate-/r/`
47×	`flip3--` `flip--`
46×	`div-inv`
21×	`fma-neg`
5×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `pow1` `distribute-rgt-out--` `log1p-expm1-u` `associate-/l*`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `frac-sub` `fma-udef` `sub-div`

Counts

3 → 542

Calls

3 calls:

9.0ms	(/ z (- a t))
130.0ms	(- (/ t (- a t)) (/ z (- a t)))
0.0ms	(fma y (- (/ t (- a t)) (/ z (- a t))) (+ y x))

series465.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ z (- a t))
190.0ms	(- (/ t (- a t)) (/ z (- a t)))
235.0ms	(fma y (- (/ t (- a t)) (/ z (- a t))) (+ y x))

simplify2.4s

Counts

551 → 551

Iterations

Iter	Nodes
done	5000
2	3589
1	1235
0	555

prune3.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.6b	(* (cbrt t) (cbrt t))
8.6b	(fma y (fma (/ (* (cbrt t) (cbrt t)) 1) (/ (cbrt t) (- a t)) (- (/ z (- a t)))) (+ y x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod` `add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 78

Calls

4 calls:

2.0ms	(cbrt t)
11.0ms	(cbrt t)
19.0ms	(* (cbrt t) (cbrt t))
1.0ms	(fma y (fma (/ (* (cbrt t) (cbrt t)) 1) (/ (cbrt t) (- a t)) (- (/ z (- a t)))) (+ y x))

series1.4s

Counts

4 → 12

Calls

4 calls:

341.0ms	(cbrt t)
273.0ms	(cbrt t)
324.0ms	(* (cbrt t) (cbrt t))
450.0ms	(fma y (fma (/ (* (cbrt t) (cbrt t)) 1) (/ (cbrt t) (- a t)) (- (/ z (- a t)))) (+ y x))

simplify2.0s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1026
1	186
0	91

prune676.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- a t))
0.2b	(* (/ 1 (- a t)) t)
2.2b	(* (/ z (- a t)) 0)
6.4b	(fma y (+ (- (* (/ 1 (- a t)) t) (/ z (- a t))) (* (/ z (- a t)) 0)) (+ y x))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
48×	`times-frac`
42×	`associate-l`
34×	`add-cube-cbrt`
20×	`add-exp-log`
16×	`add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
6×	`associate-r` `prod-exp` `associate-/r/`
5×	`associate-/r*` `unswap-sqr`
4×	`expm1-log1p-u` `div-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `div-inv` `flip--` `associate-/l*`
2×	`pow-prod-down` `associate-l/` `-commutative`
1×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `mul0` `fma-udef`

Counts

4 → 137

Calls

4 calls:

9.0ms	(/ z (- a t))
30.0ms	(* (/ 1 (- a t)) t)
43.0ms	(* (/ z (- a t)) 0)
0.0ms	(fma y (+ (- (* (/ 1 (- a t)) t) (/ z (- a t))) (* (/ z (- a t)) 0)) (+ y x))

series278.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ z (- a t))
69.0ms	(* (/ 1 (- a t)) t)
3.0ms	(* (/ z (- a t)) 0)
166.0ms	(fma y (+ (- (* (/ 1 (- a t)) t) (/ z (- a t))) (* (/ z (- a t)) 0)) (+ y x))

simplify1.4s

Counts

149 → 149

Iterations

Iter	Nodes
done	5000
2	1957
1	508
0	206

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.0b

regimes959.0ms

Accuracy

42.3% (4.8b remaining)

Error of 8.1b against oracle of 3.3b and baseline of 11.6b

bsearch4.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	48
2	48
1	47
0	40

end0.0ms

sample1.4s

Algorithm

intervals

Results

614.0ms	7374×	body	80	valid
142.0ms	409×	body	320	valid
122.0ms	436×	body	640	valid
69.0ms	262×	body	1280	valid
28.0ms	260×	body	160	valid
5.0ms	16×	body	2560	valid