Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

321×

body

valid

simplify31.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (22.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	34	9
3	86	9
4	201	8
5	349	8
6	593	8
7	812	8
8	1272	8
9	1828	8
10	2758	8
11	3833	8
12	3937	8
13	4763	8
done	5000	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- y 1.0) z 1.0)
4.3b	(* (fma (- y 1.0) z 1.0) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma (- y 1.0) z 1.0)
4.0ms	(* (fma (- y 1.0) z 1.0) x)

series99.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(fma (- y 1.0) z 1.0)
66.0ms	(* (fma (- y 1.0) z 1.0) x)

simplify907.0ms

Counts

36 → 36

Iterations

Useful iterations: 3 (146.0ms)

Iter	Nodes	Cost
0	52	382
1	111	372
2	345	314
3	1428	310
done	5000	310

prune111.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (fma (- y 1.0) z 1.0) x))
4.3b	(* (fma (- y 1.0) z 1.0) x)
4.3b	(* (fma (- y 1.0) z 1.0) x)
4.3b	(* (fma (- y 1.0) z 1.0) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt (* (fma (- y 1.0) z 1.0) x))
3.0ms	(* (fma (- y 1.0) z 1.0) x)
3.0ms	(* (fma (- y 1.0) z 1.0) x)
3.0ms	(* (fma (- y 1.0) z 1.0) x)

series380.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (* (fma (- y 1.0) z 1.0) x))
67.0ms	(* (fma (- y 1.0) z 1.0) x)
61.0ms	(* (fma (- y 1.0) z 1.0) x)
66.0ms	(* (fma (- y 1.0) z 1.0) x)

simplify1.5s

Counts

83 → 83

Iterations

Useful iterations: 3 (302.0ms)

Iter	Nodes	Cost
0	104	1098
1	255	1065
2	761	921
3	2948	859
done	5000	859

prune270.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.4b

localize19.0ms

Local error

Found 4 expressions with local error:

4.3b	(* (fma (- y 1.0) z 1.0) x)
4.6b	(cbrt (fma (- y 1.0) z 1.0))
4.6b	(cbrt (fma (- y 1.0) z 1.0))
4.6b	(cbrt (fma (- y 1.0) z 1.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 59

Calls

4 calls:

3.0ms	(* (fma (- y 1.0) z 1.0) x)
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))

series433.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (fma (- y 1.0) z 1.0) x)
122.0ms	(cbrt (fma (- y 1.0) z 1.0))
122.0ms	(cbrt (fma (- y 1.0) z 1.0))
123.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify1.1s

Counts

71 → 71

Iterations

Useful iterations: 3 (274.0ms)

Iter	Nodes	Cost
0	96	1052
1	227	1006
2	649	915
3	2505	809
done	5001	809

prune311.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 4.4b

localize26.0ms

Local error

Found 4 expressions with local error:

4.3b	(* (fma (- y 1.0) z 1.0) x)
4.6b	(cbrt (fma (- y 1.0) z 1.0))
4.6b	(cbrt (fma (- y 1.0) z 1.0))
4.6b	(cbrt (fma (- y 1.0) z 1.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 59

Calls

4 calls:

3.0ms	(* (fma (- y 1.0) z 1.0) x)
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))

series453.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (fma (- y 1.0) z 1.0) x)
135.0ms	(cbrt (fma (- y 1.0) z 1.0))
129.0ms	(cbrt (fma (- y 1.0) z 1.0))
127.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify1.0s

Counts

71 → 71

Iterations

Useful iterations: 3 (263.0ms)

Iter	Nodes	Cost
0	96	1052
1	227	1006
2	649	915
3	2505	809
done	5001	809

prune325.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 4.4b

regimes122.0ms

Accuracy

0% (0.1b remaining)

Error of 3.6b against oracle of 3.5b and baseline of 3.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample426.0ms

Algorithm

intervals

Results

227.0ms

10116×

body

valid