Details

sample41.0ms

Algorithm

intervals

Results

12.0ms	235×	body	80	valid
2.0ms	8×	body	1280	valid
2.0ms	12×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	9×	body	160	valid
0.0ms	1×	body	2560	valid

simplify2.4s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.5b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- a t))
3.4b	(fma y (/ (- t z) (- a t)) (+ y x))

rewrite22.0ms

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:

19.0ms	(/ (- t z) (- a t))
0.0ms	(fma y (/ (- t z) (- a t)) (+ y x))

series254.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ (- t z) (- a t))
188.0ms	(fma y (/ (- t z) (- a t)) (+ y x))

simplify2.2s

Counts

70 → 70

Iterations

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

prune520.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.9b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- t z))
0.4b	(/ 1 (/ (- a t) (- t z)))
3.4b	(fma y (/ 1 (/ (- a t) (- t z))) (+ y x))

rewrite108.0ms

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` `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 → 214

Calls

3 calls:

45.0ms	(/ (- a t) (- t z))
43.0ms	(/ 1 (/ (- a t) (- t z)))
1.0ms	(fma y (/ 1 (/ (- a t) (- t z))) (+ y x))

series478.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(/ (- a t) (- t z))
238.0ms	(/ 1 (/ (- a t) (- t z)))
148.0ms	(fma y (/ 1 (/ (- a t) (- t z))) (+ y x))

simplify1.9s

Counts

223 → 223

Iterations

Iter	Nodes
done	5002
2	3978
1	713
0	273

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.9b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- t z))
0.2b	(* (- a t) (/ 1 (- t z)))
0.4b	(/ 1 (* (- a t) (/ 1 (- t z))))
4.8b	(fma y (/ 1 (* (- a t) (/ 1 (- t z)))) (+ y x))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 151

Calls

4 calls:

22.0ms	(/ 1 (- t z))
49.0ms	(* (- a t) (/ 1 (- t z)))
54.0ms	(/ 1 (* (- a t) (/ 1 (- t z))))
1.0ms	(fma y (/ 1 (* (- a t) (/ 1 (- t z)))) (+ y x))

series429.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ 1 (- t z))
72.0ms	(* (- a t) (/ 1 (- t z)))
166.0ms	(/ 1 (* (- a t) (/ 1 (- t z))))
142.0ms	(fma y (/ 1 (* (- a t) (/ 1 (- t z)))) (+ y x))

simplify3.9s

Counts

163 → 163

Iterations

Iter	Nodes
done	5001
2	3583
1	499
0	196

prune967.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.9b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
8.4b	(fma y (/ (/ (- t z) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))) (+ y x))

rewrite11.0ms

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` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
0.0ms	(fma y (/ (/ (- t z) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))) (+ y x))

series816.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt (- a t))
213.0ms	(cbrt (- a t))
214.0ms	(cbrt (- a t))
171.0ms	(fma y (/ (/ (- t z) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))) (+ y x))

simplify1.6s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	1600
2	476
1	191
0	94

prune663.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 3.9b

regimes933.0ms

Accuracy

45.2% (4.7b remaining)

Error of 7.8b against oracle of 3.1b and baseline of 11.7b

bsearch3.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	29
1	29
0	28

end0.0ms

sample1.7s

Algorithm

intervals

Results

551.0ms	7349×	body	80	valid
546.0ms	437×	body	640	valid
94.0ms	262×	body	1280	valid
63.0ms	397×	body	320	valid
27.0ms	259×	body	160	valid
4.0ms	15×	body	2560	valid