Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

275×

body

valid

simplify704.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	35	10
3	57	10
4	94	10
5	137	10
6	189	10
7	215	10
8	244	10
9	278	10
10	364	10
11	477	10
12	549	10
13	642	10
14	669	10
done	669	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.9b	(fma (/ (- z t) (- a t)) y x)

rewrite15.0ms

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:

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

series159.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ (- z t) (- a t))
98.0ms	(fma (/ (- z t) (- a t)) y x)

simplify2.0s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	113	884
1	259	856
2	598	808
3	1462	808
4	4038	806
done	5000	806

prune211.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
0.9b	(fma (* (- z t) (/ 1 (- a t))) y x)

rewrite35.0ms

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

series203.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ 1 (- a t))
64.0ms	(* (- z t) (/ 1 (- a t)))
96.0ms	(fma (* (- z t) (/ 1 (- a t))) y x)

simplify2.3s

Counts

114 → 114

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	149	1251
1	334	1018
2	898	918
3	2903	918
done	5001	917

prune265.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.9b	(fma (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))) y x)
2.8b	(cbrt (/ (- z t) (- a t)))
2.8b	(cbrt (/ (- z t) (- a t)))
2.8b	(cbrt (/ (- z t) (- a t)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
37×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `flip--` `div-inv`
1×	`fma-udef`

Counts

4 → 136

Calls

4 calls:

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

series1.3s

Counts

4 → 12

Calls

4 calls:

98.0ms	(fma (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))) y x)
385.0ms	(cbrt (/ (- z t) (- a t)))
381.0ms	(cbrt (/ (- z t) (- a t)))
390.0ms	(cbrt (/ (- z t) (- a t)))

simplify2.4s

Counts

148 → 148

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	175	2777
1	332	2684
2	671	2387
3	1589	2330
4	4555	2264
done	5001	2264

prune536.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma y (/ (- z t) (- a t)) x))
0.9b	(fma y (/ (- z t) (- a t)) x)
0.9b	(fma y (/ (- z t) (- a t)) x)
0.9b	(fma y (/ (- z t) (- a t)) x)

rewrite3.0ms

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

series683.0ms

Counts

4 → 12

Calls

4 calls:

404.0ms	(cbrt (fma y (/ (- z t) (- a t)) x))
93.0ms	(fma y (/ (- z t) (- a t)) x)
93.0ms	(fma y (/ (- z t) (- a t)) x)
93.0ms	(fma y (/ (- z t) (- a t)) x)

simplify1.4s

Counts

55 → 55

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	60	737
1	119	732
2	275	647
3	873	641
4	3082	633
done	5001	629

prune209.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.7b

regimes204.0ms

Accuracy

0% (0.8b remaining)

Error of 1.6b against oracle of 0.7b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
done	9	10

end0.0ms

sample536.0ms

Algorithm

intervals

Results

280.0ms	8721×	body	80	valid
0.0ms	1×	body	2560	valid