Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

281×

body

valid

simplify995.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	36	10
3	59	10
4	102	10
5	161	10
6	212	10
7	240	10
8	278	10
9	319	10
10	404	10
11	502	10
12	570	10
13	634	10
14	662	10
done	662	10

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.3b	(fma (/ (- z t) (- a t)) y x)

rewrite26.0ms

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:

23.0ms	(/ (- z t) (- a t))
0.0ms	(fma (/ (- z t) (- a t)) y x)

series143.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (- z t) (- a t))
89.0ms	(fma (/ (- z t) (- a t)) y x)

simplify2.3s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	113	884
1	259	856
2	632	808
3	1589	808
4	4609	806
done	5000	806

prune427.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
1.3b	(fma (* (- z t) (/ 1 (- a t))) y x)

rewrite61.0ms

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:

12.0ms	(/ 1 (- a t))
45.0ms	(* (- z t) (/ 1 (- a t)))
0.0ms	(fma (* (- z t) (/ 1 (- a t))) y x)

series181.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1 (- a t))
56.0ms	(* (- z t) (/ 1 (- a t)))
87.0ms	(fma (* (- z t) (/ 1 (- a t))) y x)

simplify2.0s

Counts

114 → 114

Iterations

Useful iterations: 2 (141.0ms)

Iter	Nodes	Cost
0	149	1251
1	327	1018
2	905	918
3	2962	918
done	5001	918

prune236.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (/ (- z t) (- a t)) y x)) (cbrt (fma (/ (- z t) (- a t)) y x)))
1.3b	(fma (/ (- z t) (- a t)) y x)
1.3b	(fma (/ (- z t) (- a t)) y x)
1.3b	(fma (/ (- z t) (- a t)) y x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

11.0ms	(* (cbrt (fma (/ (- z t) (- a t)) y x)) (cbrt (fma (/ (- z t) (- a t)) y x)))
0.0ms	(fma (/ (- z t) (- a t)) y x)
0.0ms	(fma (/ (- z t) (- a t)) y x)
0.0ms	(fma (/ (- z t) (- a t)) y x)

series1.4s

Counts

4 → 12

Calls

4 calls:

1.1s	(* (cbrt (fma (/ (- z t) (- a t)) y x)) (cbrt (fma (/ (- z t) (- a t)) y x)))
87.0ms	(fma (/ (- z t) (- a t)) y x)
87.0ms	(fma (/ (- z t) (- a t)) y x)
88.0ms	(fma (/ (- z t) (- a t)) y x)

simplify2.3s

Counts

84 → 84

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	91	1716
1	182	1587
2	428	1434
3	1108	1205
4	4102	1189
done	5000	1189

prune278.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 4 expressions with local error:

1.3b	(fma (/ (- z t) (- a t)) y x)
1.3b	(fma (/ (- z t) (- a t)) y x)
1.3b	(fma (/ (- z t) (- a t)) y x)
1.3b	(fma (/ (- z t) (- a t)) y x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

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

series349.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(fma (/ (- z t) (- a t)) y x)
88.0ms	(fma (/ (- z t) (- a t)) y x)
87.0ms	(fma (/ (- z t) (- a t)) y x)
84.0ms	(fma (/ (- z t) (- a t)) y x)

simplify2.3s

Counts

52 → 52

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	23	640
1	42	640
2	85	560
3	225	560
4	845	560
5	4680	560
done	5000	560

prune244.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.5b

regimes249.0ms

Accuracy

0% (0.7b remaining)

Error of 1.4b against oracle of 0.7b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
done	9	10

end0.0ms

sample617.0ms

Algorithm

intervals

Results

258.0ms	8754×	body	80	valid
0.0ms	1×	body	320	valid