Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

333×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (12.0ms)

Iter	Nodes	Cost
0	8	164
1	14	164
2	25	164
3	48	139
4	99	139
5	170	139
6	248	139
7	422	139
8	1087	139
9	3428	139
done	5000	139

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ y t) (- z x) x)

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(fma (/ y t) (- z x) x)

simplify1.8s

Counts

13 → 13

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	23	2767
1	40	2767
2	93	2767
3	276	2452
4	1599	2452
done	5001	2452

prune100.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ y t) (- z x) x))
0.8b	(fma (/ y t) (- z x) x)
0.8b	(fma (/ y t) (- z x) x)
0.8b	(fma (/ y t) (- z x) x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (/ y t) (- z x) x))
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)

series365.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(cbrt (fma (/ y t) (- z x) x))
40.0ms	(fma (/ y t) (- z x) x)
48.0ms	(fma (/ y t) (- z x) x)
34.0ms	(fma (/ y t) (- z x) x)

simplify1.0s

Counts

55 → 55

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	60	13760
1	117	13548
2	288	13508
3	1123	12323
done	5001	11773

prune401.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

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

series195.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(fma (/ y t) (- z x) x)
45.0ms	(fma (/ y t) (- z x) x)
53.0ms	(fma (/ y t) (- z x) x)
45.0ms	(fma (/ y t) (- z x) x)

simplify1.9s

Counts

52 → 52

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	23	11068
1	40	11068
2	93	11068
3	276	9808
4	1599	9808
done	5001	9808

prune397.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ (* y (- z x)) t))
5.7b	(/ (* y (- z x)) t)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

21.0ms	(* y (- z x))
12.0ms	(+ x (/ (* y (- z x)) t))
27.0ms	(/ (* y (- z x)) t)

series182.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* y (- z x))
53.0ms	(+ x (/ (* y (- z x)) t))
81.0ms	(/ (* y (- z x)) t)

simplify1.7s

Counts

97 → 97

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	167	24255
1	431	21345
2	1854	17556
done	5001	17206

prune517.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes523.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	139
done	7	139

end0.0ms

sample1.1s

Algorithm

intervals

Results

620.0ms

10676×

body

valid