Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

289×

body

valid

simplify805.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	62	10
4	104	10
5	148	10
6	190	10
7	217	10
8	251	10
9	300	10
10	416	10
11	605	10
12	651	10
13	672	10
14	674	10
done	674	10

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.0b	(fma (/ (- y z) (- a z)) t x)

rewrite18.0ms

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:

15.0ms	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) t x)

series137.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (- y z) (- a z))
82.0ms	(fma (/ (- y z) (- a z)) t x)

simplify1.9s

Counts

70 → 70

Iterations

Useful iterations: 4 (949.0ms)

Iter	Nodes	Cost
0	113	884
1	259	856
2	599	808
3	1462	808
4	4019	806
done	5001	806

prune199.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

2.0b	(fma (* (* (cbrt (/ (- y z) (- a z))) (cbrt (/ (- y z) (- a z)))) (cbrt (/ (- y z) (- a z)))) t x)
4.7b	(cbrt (/ (- y z) (- a z)))
4.7b	(cbrt (/ (- y z) (- a z)))
4.7b	(cbrt (/ (- y z) (- a z)))

rewrite27.0ms

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 (/ (- y z) (- a z))) (cbrt (/ (- y z) (- a z)))) (cbrt (/ (- y z) (- a z)))) t x)
9.0ms	(cbrt (/ (- y z) (- a z)))
6.0ms	(cbrt (/ (- y z) (- a z)))
6.0ms	(cbrt (/ (- y z) (- a z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

90.0ms	(fma (* (* (cbrt (/ (- y z) (- a z))) (cbrt (/ (- y z) (- a z)))) (cbrt (/ (- y z) (- a z)))) t x)
354.0ms	(cbrt (/ (- y z) (- a z)))
350.0ms	(cbrt (/ (- y z) (- a z)))
356.0ms	(cbrt (/ (- y z) (- a z)))

simplify2.0s

Counts

148 → 148

Iterations

Useful iterations: 4 (999.0ms)

Iter	Nodes	Cost
0	175	2777
1	332	2684
2	669	2387
3	1586	2327
4	4489	2261
done	5001	2261

prune519.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(* (cbrt (- a z)) (cbrt (- a z)))
2.0b	(fma (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z))) t x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod`
34×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
16×	`cbrt-div`
14×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
8×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
6×	`add-exp-log` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 102

Calls

4 calls:

2.0ms	(cbrt (- a z))
2.0ms	(cbrt (- a z))
19.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
0.0ms	(fma (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z))) t x)

series565.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt (- a z))
164.0ms	(cbrt (- a z))
146.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
84.0ms	(fma (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z))) t x)

simplify991.0ms

Counts

114 → 114

Iterations

Useful iterations: 3 (428.0ms)

Iter	Nodes	Cost
0	156	1541
1	311	1433
2	781	1253
3	2172	1132
done	5001	1132

prune378.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
7.6b	(/ (* (- y z) t) (- a z))

rewrite35.0ms

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:

13.0ms	(+ x (/ (* (- y z) t) (- a z)))
10.0ms	(* (- y z) t)
9.0ms	(/ (* (- y z) t) (- a z))

series188.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(+ x (/ (* (- y z) t) (- a z)))
37.0ms	(* (- y z) t)
69.0ms	(/ (* (- y z) t) (- a z))

simplify844.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (356.0ms)

Iter	Nodes	Cost
0	130	868
1	340	817
2	1243	739
done	5000	739

prune205.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes246.0ms

Accuracy

74.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.4b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	19	61
1	26	51
done	26	51

end0.0ms

sample537.0ms

Algorithm

intervals

Results

270.0ms

8764×

body

valid