Details

sample39.0ms

Algorithm

intervals

Results

14.0ms

294×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	32	11
3	60	10
4	111	10
5	156	10
6	206	10
7	251	10
8	301	10
9	386	10
10	484	10
11	552	10
12	616	10
13	644	10
done	644	10

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
3.6b	(fma (/ y (- a t)) (- z t) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

16.0ms	(/ y (- a t))
1.0ms	(fma (/ y (- a t)) (- z t) x)

series362.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ y (- a t))
301.0ms	(fma (/ y (- a t)) (- z t) x)

simplify1.9s

Counts

55 → 55

Iterations

Useful iterations: 4 (781.0ms)

Iter	Nodes	Cost
0	92	550
1	167	533
2	348	493
3	761	491
4	2276	490
done	5000	490

prune217.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* y (/ 1 (- a t)))
3.6b	(fma (* y (/ 1 (- a t))) (- z t) x)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip--` `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 → 99

Calls

3 calls:

21.0ms	(/ 1 (- a t))
41.0ms	(* y (/ 1 (- a t)))
1.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

series357.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ 1 (- a t))
37.0ms	(* y (/ 1 (- a t)))
270.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

simplify2.8s

Counts

108 → 108

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	132	1055
1	278	835
2	527	749
3	1134	747
4	3258	746
done	5000	746

prune331.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ 1 (/ (- a t) y))
3.6b	(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

117×	`times-frac`
82×	`add-sqr-sqrt` `*-un-lft-identity`
58×	`add-cube-cbrt`
19×	`associate-/r*`
13×	`add-exp-log`
12×	`distribute-lft-out--` `difference-of-squares`
7×	`div-exp` `add-cbrt-cube`
5×	`div-inv`
3×	`pow1` `cbrt-undiv` `associate-/l*`
2×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `frac-2neg` `clear-num` `associate-/r/` `fma-udef` `inv-pow`

Counts

2 → 112

Calls

2 calls:

39.0ms	(/ 1 (/ (- a t) y))
1.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

series408.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(/ 1 (/ (- a t) y))
315.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify4.8s

Counts

118 → 118

Iterations

Useful iterations: 4 (3.1s)

Iter	Nodes	Cost
0	188	1734
1	396	1431
2	744	1206
3	1768	1174
4	4577	1173
done	5000	1173

prune340.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

13.8b

(/ (- z t) (/ (- a t) y))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

185×	`times-frac`
151×	`add-sqr-sqrt` `*-un-lft-identity`
75×	`add-cube-cbrt`
38×	`distribute-lft-out--` `difference-of-squares`
19×	`associate-/r*`
7×	`div-inv`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/l/`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `clear-num` `associate-/r/` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

1 → 139

Calls

1 calls:

37.0ms

(/ (- z t) (/ (- a t) y))

series157.0ms

Counts

1 → 3

Calls

1 calls:

157.0ms

(/ (- z t) (/ (- a t) y))

simplify1.6s

Counts

142 → 142

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	230	2746
1	641	2574
2	2072	2492
done	5000	2490

prune472.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes201.0ms

Accuracy

60.5% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.3b

bsearch107.0ms

Steps

Iters	Range		Point
9	2.6348029274484795e-33	1.2505408668295066e-24	1.4262439210641878e-32
8	-1.04700023572453e-107	-2.9001366320067e-111	-6.052162249708099e-108

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	22	47
1	31	33
done	31	33

end0.0ms

sample925.0ms

Algorithm

intervals

Results

378.0ms	8770×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid