Details

sample29.0ms

Algorithm

intervals

Results

7.0ms	218×	body	80	valid
4.0ms	22×	body	320	valid
2.0ms	17×	body	640	valid
2.0ms	13×	body	1280	valid
0.0ms	5×	body	160	valid

simplify11.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (26.0ms)

Iter	Nodes	Cost
0	11	13
1	22	13
2	51	13
3	103	13
4	205	12
5	408	12
6	672	12
7	935	12
8	1114	12
9	1383	12
10	1817	12
11	2737	12
12	3955	12
13	4945	12
done	5000	12

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- a t))
2.6b	(fma (/ (- t z) (- a t)) y (+ x y))

rewrite21.0ms

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-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

18.0ms	(/ (- t z) (- a t))
0.0ms	(fma (/ (- t z) (- a t)) y (+ x y))

series235.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (- t z) (- a t))
191.0ms	(fma (/ (- t z) (- a t)) y (+ x y))

simplify2.0s

Counts

70 → 70

Iterations

Useful iterations: 4 (995.0ms)

Iter	Nodes	Cost
0	113	906
1	258	878
2	589	826
3	1517	824
4	4609	822
done	5000	822

prune217.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- t z) (/ 1 (- a t)))
4.5b	(fma (* (- t z) (/ 1 (- a t))) y (+ x y))

rewrite36.0ms

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-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 105

Calls

3 calls:

6.0ms	(/ 1 (- a t))
25.0ms	(* (- t z) (/ 1 (- a t)))
0.0ms	(fma (* (- t z) (/ 1 (- a t))) y (+ x y))

series267.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 1 (- a t))
45.0ms	(* (- t z) (/ 1 (- a t)))
187.0ms	(fma (* (- t z) (/ 1 (- a t))) y (+ x y))

simplify2.0s

Counts

114 → 114

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	149	1273
1	335	1040
2	905	936
3	3006	934
done	5000	933

prune278.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- t z) (* 1 (/ 1 (- a t))))
4.5b	(fma (* (- t z) (* 1 (/ 1 (- a t)))) y (+ x y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
24×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`prod-exp`
15×	`times-frac`
14×	`add-cube-cbrt` `add-cbrt-cube`
9×	`pow1`
7×	`1-exp`
6×	`div-exp`
5×	`associate-r/` `associate-l` `associate-/r` `un-div-inv` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
4×	`frac-times` `flip3--` `flip--`
3×	`expm1-log1p-u` `rec-exp` `pow-prod-down` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `associate-*l/` `associate-/r/`
1×	`pow-flip` `frac-2neg` `associate-r` `clear-num` `*-commutative` `fma-udef` `div-inv` `inv-pow`

Counts

3 → 92

Calls

3 calls:

9.0ms	(/ 1 (- a t))
27.0ms	(* (- t z) (* 1 (/ 1 (- a t))))
0.0ms	(fma (* (- t z) (* 1 (/ 1 (- a t)))) y (+ x y))

series271.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 1 (- a t))
44.0ms	(* (- t z) (* 1 (/ 1 (- a t))))
191.0ms	(fma (* (- t z) (* 1 (/ 1 (- a t)))) y (+ x y))

simplify1.2s

Counts

101 → 101

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	153	1224
1	350	998
2	753	810
3	2014	808
done	5000	807

prune238.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.6b	(* (cbrt (- a t)) (cbrt (- a t)))
12.1b	(fma (* (- t z) (* 1 (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ 1 (cbrt (- a t)))))) y (+ x y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod`
34×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
16×	`cbrt-div`
14×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
8×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
6×	`add-exp-log` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 102

Calls

4 calls:

2.0ms	(cbrt (- a t))
2.0ms	(cbrt (- a t))
22.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
0.0ms	(fma (* (- t z) (* 1 (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ 1 (cbrt (- a t)))))) y (+ x y))

series730.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (- a t))
182.0ms	(cbrt (- a t))
155.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
217.0ms	(fma (* (- t z) (* 1 (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ 1 (cbrt (- a t)))))) y (+ x y))

simplify1.4s

Counts

114 → 114

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	159	1641
1	319	1507
2	818	1381
3	2448	1169
done	5000	1147

prune436.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.4b

regimes374.0ms

Accuracy

43.2% (4.9b remaining)

Error of 8.3b against oracle of 3.4b and baseline of 12.0b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	28	89
1	34	87
done	34	87

end0.0ms

sample675.0ms

Algorithm

intervals

Results

251.0ms	7307×	body	80	valid
60.0ms	462×	body	640	valid
48.0ms	288×	body	1280	valid
35.0ms	376×	body	320	valid
17.0ms	273×	body	160	valid
3.0ms	16×	body	2560	valid