Details

sample25.0ms

Algorithm

intervals

Results

8.0ms

284×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	63	10
4	106	10
5	167	10
6	222	10
7	255	10
8	289	10
9	338	10
10	450	10
11	570	10
12	624	10
13	636	10
14	638	10
done	638	10

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.2b	(fma (/ (- y z) (- a z)) t x)

rewrite29.0ms

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:

26.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) t x)

series152.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ (- y z) (- a z))
92.0ms	(fma (/ (- y z) (- a z)) t x)

simplify2.4s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	113	884
1	259	856
2	633	808
3	1589	808
4	4605	806
done	5000	806

prune200.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- y z) (/ 1 (- a z)))
1.2b	(fma (* (- y z) (/ 1 (- a z))) t x)

rewrite72.0ms

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:

14.0ms	(/ 1 (- a z))
53.0ms	(* (- y z) (/ 1 (- a z)))
0.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

series195.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ 1 (- a z))
62.0ms	(* (- y z) (/ 1 (- a z)))
94.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

simplify2.0s

Counts

114 → 114

Iterations

Useful iterations: 2 (147.0ms)

Iter	Nodes	Cost
0	149	1251
1	327	1018
2	905	918
3	2962	918
done	5000	918

prune262.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ 1 (- a z)))
0.5b	(cbrt (/ 1 (- a z)))
0.5b	(cbrt (/ 1 (- a z)))
1.2b	(fma (* (- y z) (* (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z)))) (cbrt (/ 1 (- a z))))) t x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
49×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
31×	`add-cube-cbrt`
9×	`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 → 106

Calls

4 calls:

7.0ms	(cbrt (/ 1 (- a z)))
10.0ms	(cbrt (/ 1 (- a z)))
7.0ms	(cbrt (/ 1 (- a z)))
0.0ms	(fma (* (- y z) (* (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z)))) (cbrt (/ 1 (- a z))))) t x)

series603.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt (/ 1 (- a z)))
175.0ms	(cbrt (/ 1 (- a z)))
177.0ms	(cbrt (/ 1 (- a z)))
89.0ms	(fma (* (- y z) (* (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z)))) (cbrt (/ 1 (- a z))))) t x)

simplify1.9s

Counts

118 → 118

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	140	1803
1	250	1620
2	485	1395
3	1085	1335
4	3557	1299
done	5000	1293

prune326.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
12.2b	(/ (* (- y z) t) (- a z))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-*l/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-r` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 72

Calls

3 calls:

22.0ms	(+ x (/ (* (- y z) t) (- a z)))
23.0ms	(* (- y z) t)
28.0ms	(/ (* (- y z) t) (- a z))

series203.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(+ x (/ (* (- y z) t) (- a z)))
32.0ms	(* (- y z) t)
76.0ms	(/ (* (- y z) t) (- a z))

simplify1.2s

Counts

81 → 81

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	130	868
1	339	817
2	1302	739
done	5000	726

prune213.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes185.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b 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

sample662.0ms

Algorithm

intervals

Results

265.0ms	8700×	body	80	valid
0.0ms	2×	body	160	valid