Details

sample24.0ms

Algorithm

intervals

Results

9.0ms

284×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	36	10
3	59	10
4	96	10
5	151	10
6	209	10
7	235	10
8	287	10
9	362	10
10	453	10
11	702	10
12	913	10
13	1113	10
14	1158	10
15	1165	10
done	1165	10

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
0.8b	(fma (/ (- z t) (- z a)) y x)

rewrite14.0ms

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:

11.0ms	(/ (- z t) (- z a))
0.0ms	(fma (/ (- z t) (- z a)) y x)

series125.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- z t) (- z a))
80.0ms	(fma (/ (- z t) (- z a)) y x)

simplify895.0ms

Counts

70 → 70

Iterations

Useful iterations: done (893.0ms)

Iter	Nodes	Cost
0	113	884
1	261	856
2	679	808
3	2192	808
done	5000	806

prune193.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.3b	(* (- z t) (/ 1 (- z a)))
0.8b	(fma (* (- z t) (/ 1 (- z a))) y x)

rewrite32.0ms

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:

5.0ms	(/ 1 (- z a))
23.0ms	(* (- z t) (/ 1 (- z a)))
0.0ms	(fma (* (- z t) (/ 1 (- z a))) y x)

series156.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ 1 (- z a))
42.0ms	(* (- z t) (/ 1 (- z a)))
77.0ms	(fma (* (- z t) (/ 1 (- z a))) y x)

simplify2.3s

Counts

114 → 114

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	149	1251
1	343	1062
2	1241	918
3	3906	918
done	5000	917

prune253.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.8b	(fma (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))) y x)
3.2b	(cbrt (/ (- z t) (- z a)))
3.2b	(cbrt (/ (- z t) (- z a)))
3.2b	(cbrt (/ (- z t) (- z a)))

rewrite23.0ms

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) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))) y x)
5.0ms	(cbrt (/ (- z t) (- z a)))
5.0ms	(cbrt (/ (- z t) (- z a)))
5.0ms	(cbrt (/ (- z t) (- z a)))

series472.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(fma (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))) y x)
129.0ms	(cbrt (/ (- z t) (- z a)))
131.0ms	(cbrt (/ (- z t) (- z a)))
140.0ms	(cbrt (/ (- z t) (- z a)))

simplify1.1s

Counts

148 → 148

Iterations

Useful iterations: 4 (442.0ms)

Iter	Nodes	Cost
0	136	2570
1	239	2486
2	446	2204
3	994	2159
4	2333	2150
done	5000	2150

prune494.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))))
0.8b	(fma (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (* (cbrt (/ 1 (* (cbrt (- z a)) (cbrt (- z a))))) (cbrt (/ (- z t) (cbrt (- z a)))))) y x)
3.2b	(cbrt (/ (- z t) (- z a)))
3.2b	(cbrt (/ (- z t) (- z a)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

77×	`cbrt-prod`
68×	`add-sqr-sqrt` `*-un-lft-identity`
53×	`times-frac`
28×	`add-cube-cbrt`
20×	`distribute-lft-out--` `difference-of-squares`
15×	`cbrt-div`
12×	`associate-/r/`
8×	`flip3--` `flip--`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-r/` `associate-l/`
1×	`fma-udef`

Counts

4 → 120

Calls

4 calls:

14.0ms	(cbrt (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))))
0.0ms	(fma (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (* (cbrt (/ 1 (* (cbrt (- z a)) (cbrt (- z a))))) (cbrt (/ (- z t) (cbrt (- z a)))))) y x)
5.0ms	(cbrt (/ (- z t) (- z a)))
5.0ms	(cbrt (/ (- z t) (- z a)))

series487.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))))
80.0ms	(fma (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (* (cbrt (/ 1 (* (cbrt (- z a)) (cbrt (- z a))))) (cbrt (/ (- z t) (cbrt (- z a)))))) y x)
137.0ms	(cbrt (/ (- z t) (- z a)))
135.0ms	(cbrt (/ (- z t) (- z a)))

simplify1.6s

Counts

132 → 132

Iterations

Useful iterations: 3 (364.0ms)

Iter	Nodes	Cost
0	223	2632
1	383	2546
2	880	2404
3	3104	2383
done	5001	2383

prune576.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes207.0ms

Accuracy

0% (0.6b remaining)

Error of 1.2b against oracle of 0.6b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
done	9	10

end0.0ms

sample544.0ms

Algorithm

intervals

Results

275.0ms	8709×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	1×	body	160	valid