Details

sample40.0ms

Algorithm

intervals

Results

16.0ms

284×

body

valid

simplify3.9s

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	104	10
5	178	10
6	302	10
7	359	10
8	446	10
9	710	10
10	1270	10
11	3597	10
done	5000	10

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.0b	(fma (/ (- z t) (- a t)) y x)

rewrite64.0ms

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:

59.0ms	(/ (- z t) (- a t))
1.0ms	(fma (/ (- z t) (- a t)) y x)

series221.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ (- z t) (- a t))
151.0ms	(fma (/ (- z t) (- a t)) y x)

simplify2.6s

Counts

70 → 70

Iterations

Useful iterations: 3 (879.0ms)

Iter	Nodes	Cost
0	113	884
1	264	856
2	826	810
3	4312	808
done	5000	808

prune331.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.4b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (- a t)) (/ t (- a t)))
0.0b	(/ z (- a t))
0.0b	(/ t (- a t))
1.0b	(fma (- (/ z (- a t)) (/ t (- a t))) y x)

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

713×	`*-un-lft-identity`
703×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
413×	`add-cube-cbrt`
149×	`distribute-lft-out--`
143×	`difference-of-squares`
94×	`associate-/r/`
48×	`flip3--` `flip--`
47×	`div-inv`
21×	`fma-neg`
10×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `fma-udef` `sub-div`

Counts

4 → 581

Calls

4 calls:

158.0ms	(- (/ z (- a t)) (/ t (- a t)))
20.0ms	(/ z (- a t))
23.0ms	(/ t (- a t))
1.0ms	(fma (- (/ z (- a t)) (/ t (- a t))) y x)

series624.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(- (/ z (- a t)) (/ t (- a t)))
58.0ms	(/ z (- a t))
67.0ms	(/ t (- a t))
351.0ms	(fma (- (/ z (- a t)) (/ t (- a t))) y x)

simplify2.6s

Counts

593 → 593

Iterations

Useful iterations: 2 (957.0ms)

Iter	Nodes	Cost
0	570	28404
1	1278	25568
2	3836	20120
done	5000	20120

prune2.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (/ 1 (- a t)) (- z t))
1.0b	(fma (* (/ 1 (- a t)) (- z t)) y x)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
35×	`add-cube-cbrt`
32×	`times-frac`
21×	`associate-l`
18×	`prod-diff`
16×	`add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-r` `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` `sub-neg` `rec-exp` `1-exp` `associate-*r/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 126

Calls

3 calls:

18.0ms	(/ 1 (- a t))
60.0ms	(* (/ 1 (- a t)) (- z t))
1.0ms	(fma (* (/ 1 (- a t)) (- z t)) y x)

series635.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ 1 (- a t))
216.0ms	(* (/ 1 (- a t)) (- z t))
364.0ms	(fma (* (/ 1 (- a t)) (- z t)) y x)

simplify2.4s

Counts

135 → 135

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	208	1929
1	552	1664
2	3340	1288
done	5000	1258

prune406.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
1.0b	(fma (- (/ (/ z (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))) (/ t (- a t))) y x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `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:

7.0ms	(cbrt (- a t))
14.0ms	(cbrt (- a t))
4.0ms	(cbrt (- a t))
0.0ms	(fma (- (/ (/ z (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))) (/ t (- a t))) y x)

series867.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(cbrt (- a t))
195.0ms	(cbrt (- a t))
202.0ms	(cbrt (- a t))
239.0ms	(fma (- (/ (/ z (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))) (/ t (- a t))) y x)

simplify994.0ms

Counts

73 → 73

Iterations

Useful iterations: done (992.0ms)

Iter	Nodes	Cost
0	94	941
1	187	923
2	451	761
3	1478	690
done	5000	654

prune378.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes257.0ms

Accuracy

0% (1.1b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
done	10	14

end0.0ms

sample1.6s

Algorithm

intervals

Results

972.0ms	8758×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid