Details

sample36.0ms

Algorithm

intervals

Results

14.0ms

282×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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:

24.0ms	(/ (- z t) (- a t))
0.0ms	(fma (/ (- z t) (- a t)) y x)

series189.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(/ (- z t) (- a t))
110.0ms	(fma (/ (- z t) (- a t)) y x)

simplify2.1s

Counts

70 → 70

Iterations

Useful iterations: 3 (766.0ms)

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

prune239.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(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)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(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)

series940.0ms

Counts

4 → 12

Calls

4 calls:

632.0ms	(cbrt (fma (/ (- z t) (- a t)) y x))
110.0ms	(fma (/ (- z t) (- a t)) y x)
103.0ms	(fma (/ (- z t) (- a t)) y x)
95.0ms	(fma (/ (- z t) (- a t)) y x)

simplify663.0ms

Counts

55 → 55

Iterations

Useful iterations: done (661.0ms)

Iter	Nodes	Cost
0	60	737
1	119	732
2	279	647
3	1292	641
done	5000	635

prune294.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.2b	(pow (/ (- z t) (- a t)) 3)
1.3b	(fma (cbrt (pow (/ (- z t) (- a t)) 3)) y x)
18.9b	(cbrt (pow (/ (- z t) (- a t)) 3))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

166×	`add-sqr-sqrt` `*-un-lft-identity`
125×	`times-frac`
68×	`cbrt-prod`
62×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
52×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--`
5×	`pow1` `associate-/r` `div-inv` `associate-/l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `clear-num` `rem-cbrt-cube` `fma-udef`

Counts

4 → 228

Calls

4 calls:

34.0ms	(/ (- z t) (- a t))
37.0ms	(pow (/ (- z t) (- a t)) 3)
0.0ms	(fma (cbrt (pow (/ (- z t) (- a t)) 3)) y x)
31.0ms	(cbrt (pow (/ (- z t) (- a t)) 3))

series375.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ (- z t) (- a t))
125.0ms	(pow (/ (- z t) (- a t)) 3)
109.0ms	(fma (cbrt (pow (/ (- z t) (- a t)) 3)) y x)
75.0ms	(cbrt (pow (/ (- z t) (- a t)) 3))

simplify2.2s

Counts

240 → 240

Iterations

Useful iterations: 2 (657.0ms)

Iter	Nodes	Cost
0	234	4212
1	821	3528
2	4343	3300
done	5000	3300

prune711.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 1.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (* (- a t) (- a t)))
0.6b	(cbrt (- a t))
1.3b	(fma (* (cbrt (/ 1 (* (- a t) (- a t)))) (/ (- z t) (cbrt (- a t)))) y x)
32.4b	(cbrt (/ 1 (* (- a t) (- a t))))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`associate-/r/`
15×	`add-exp-log`
13×	`flip3--` `flip--`
12×	`pow1`
11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `add-cbrt-cube`
8×	`frac-times`
6×	`pow-flip` `times-frac`
4×	`expm1-log1p-u` `associate-r/` `div-exp` `associate-l/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `prod-exp` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `pow1/3` `1-exp` `div-inv`
1×	`pow2` `frac-2neg` `pow-plus` `pow-prod-down` `clear-num` `associate-/r*` `pow-sqr` `pow-prod-up` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 95

Calls

4 calls:

46.0ms	(/ 1 (* (- a t) (- a t)))
6.0ms	(cbrt (- a t))
0.0ms	(fma (* (cbrt (/ 1 (* (- a t) (- a t)))) (/ (- z t) (cbrt (- a t)))) y x)
44.0ms	(cbrt (/ 1 (* (- a t) (- a t))))

series728.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/ 1 (* (- a t) (- a t)))
232.0ms	(cbrt (- a t))
244.0ms	(fma (* (cbrt (/ 1 (* (- a t) (- a t)))) (/ (- z t) (cbrt (- a t)))) y x)
185.0ms	(cbrt (/ 1 (* (- a t) (- a t))))

simplify851.0ms

Counts

107 → 107

Iterations

Useful iterations: done (847.0ms)

Iter	Nodes	Cost
0	205	1518
1	444	1419
2	1639	1293
done	5001	1270

prune357.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 1.0b

regimes271.0ms

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

sample1.2s

Algorithm

intervals

Results

512.0ms	8719×	body	80	valid
0.0ms	1×	body	160	valid