Details

sample78.0ms

Algorithm

intervals

Results

42.0ms

271×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	14	17
1	24	16
2	43	15
3	75	15
4	127	15
5	182	15
6	215	15
7	291	15
8	600	15
9	1748	15
done	5000	15

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 24.8b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (- b y) y)
0.0b	(* z (- t a))
0.5b	(fma x y (* z (- t a)))
24.0b	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`sub-neg` `associate-*r/` `fma-udef`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

0.0ms	(fma z (- b y) y)
36.0ms	(* z (- t a))
0.0ms	(fma x y (* z (- t a)))
8.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

series699.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(fma z (- b y) y)
53.0ms	(* z (- t a))
80.0ms	(fma x y (* z (- t a)))
527.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

simplify774.0ms

Counts

107 → 107

Iterations

Useful iterations: done (769.0ms)

Iter	Nodes	Cost
0	171	1678
1	353	1497
2	1129	1287
done	5001	1259

prune1.1s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 24.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.4b	(/ 1 (fma z (- b y) y))
0.5b	(fma x y (* z (- t a)))
23.8b	(* (fma x y (* z (- t a))) (/ 1 (fma z (- b y) y)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
34×	`add-cube-cbrt`
20×	`times-frac`
19×	`add-exp-log`
18×	`associate-r` `prod-diff`
13×	`add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
6×	`associate-l`
5×	`prod-exp`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-r/` `associate-/r` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`flip3--` `pow-flip` `frac-2neg` `clear-num` `un-div-inv` `flip--` `fma-udef` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 127

Calls

4 calls:

36.0ms	(* z (- t a))
9.0ms	(/ 1 (fma z (- b y) y))
0.0ms	(fma x y (* z (- t a)))
30.0ms	(* (fma x y (* z (- t a))) (/ 1 (fma z (- b y) y)))

series733.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* z (- t a))
84.0ms	(/ 1 (fma z (- b y) y))
77.0ms	(fma x y (* z (- t a)))
520.0ms	(* (fma x y (* z (- t a))) (/ 1 (fma z (- b y) y)))

simplify1.6s

Counts

139 → 139

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	200	2133
1	442	1824
2	2116	1560
done	5002	1530

prune836.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 24.1b

localize59.0ms

Local error

Found 4 expressions with local error:

1.7b	(cbrt (/ (fma x y (* z (- t a))) (fma z (- b y) y)))
24.0b	(/ (fma x y (* z (- t a))) (fma z (- b y) y))
24.0b	(/ (fma x y (* z (- t a))) (fma z (- b y) y))
24.0b	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`cbrt-div` `pow1/3`

Counts

4 → 111

Calls

4 calls:

4.0ms	(cbrt (/ (fma x y (* z (- t a))) (fma z (- b y) y)))
10.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))
8.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))
9.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

series2.8s

Counts

4 → 12

Calls

4 calls:

1.3s	(cbrt (/ (fma x y (* z (- t a))) (fma z (- b y) y)))
514.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))
494.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))
508.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

simplify1.5s

Counts

123 → 123

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	137	2909
1	247	2869
2	600	2647
3	2424	2635
done	5001	2603

prune1.1s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 24.1b

localize62.0ms

Local error

Found 4 expressions with local error:

1.7b	(cbrt (/ (fma x y (* z (- t a))) (fma z (- b y) y)))
23.5b	(/ (fma z (- b y) y) (fma x y (* z (- t a))))
24.0b	(/ (fma x y (* z (- t a))) (fma z (- b y) y))
24.0b	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`cbrt-div` `pow1/3`

Counts

4 → 111

Calls

4 calls:

3.0ms	(cbrt (/ (fma x y (* z (- t a))) (fma z (- b y) y)))
7.0ms	(/ (fma z (- b y) y) (fma x y (* z (- t a))))
7.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))
8.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

series2.6s

Counts

4 → 12

Calls

4 calls:

1.4s	(cbrt (/ (fma x y (* z (- t a))) (fma z (- b y) y)))
203.0ms	(/ (fma z (- b y) y) (fma x y (* z (- t a))))
546.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))
519.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

simplify1.9s

Counts

123 → 123

Iterations

Useful iterations: 3 (658.0ms)

Iter	Nodes	Cost
0	164	2911
1	301	2871
2	830	2649
3	3878	2637
done	5001	2637

prune1.2s

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 24.1b

regimes1.3s

Accuracy

0% (0.6b remaining)

Error of 23.2b against oracle of 22.6b and baseline of 23.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	15
1	13	15
done	13	15

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.3s

8431×

body

valid