Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

333×

body

valid

simplify23.7s

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	48	8
4	88	8
5	138	8
6	182	8
7	261	8
8	356	8
9	565	8
10	986	8
11	1689	8
12	2390	8
13	3087	8
14	4787	8
done	5000	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

2.4b	(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify436.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	23	154
1	40	154
2	91	138
3	220	123
4	992	123
done	5001	123

prune38.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z x)) t))
0.0b	(* y (- z x))
4.8b	(/ (* y (- z x)) t)

rewrite30.0ms

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-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `fma-def` `times-frac` `associate-l` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `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` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 88

Calls

3 calls:

5.0ms	(+ x (/ (* y (- z x)) t))
12.0ms	(* y (- z x))
10.0ms	(/ (* y (- z x)) t)

series127.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ x (/ (* y (- z x)) t))
35.0ms	(* y (- z x))
51.0ms	(/ (* y (- z x)) t)

simplify749.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (124.0ms)

Iter	Nodes	Cost
0	167	1262
1	389	1055
2	1599	857
done	5001	857

prune169.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- z x) (/ t y)))
6.3b	(/ (- z x) (/ t y))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
89×	`*-un-lft-identity`
87×	`add-sqr-sqrt`
59×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `fma-def` `div-exp`
2×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 121

Calls

2 calls:

28.0ms	(+ x (/ (- z x) (/ t y)))
12.0ms	(/ (- z x) (/ t y))

series82.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (/ (- z x) (/ t y)))
48.0ms	(/ (- z x) (/ t y))

simplify681.0ms

Counts

127 → 127

Iterations

Useful iterations: 2 (177.0ms)

Iter	Nodes	Cost
0	221	1932
1	614	1792
2	2216	1697
done	5001	1697

prune302.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* y (- z x)) (/ 1 t)))
0.0b	(* y (- z x))
4.9b	(* (* y (- z x)) (/ 1 t))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 106

Calls

3 calls:

3.0ms	(+ x (* (* y (- z x)) (/ 1 t)))
12.0ms	(* y (- z x))
18.0ms	(* (* y (- z x)) (/ 1 t))

series127.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ x (* (* y (- z x)) (/ 1 t)))
35.0ms	(* y (- z x))
51.0ms	(* (* y (- z x)) (/ 1 t))

simplify1.4s

Counts

115 → 115

Iterations

Useful iterations: 2 (186.0ms)

Iter	Nodes	Cost
0	205	1610
1	519	1271
2	2219	994
done	5001	994

prune189.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes146.0ms

Accuracy

35.9% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	50
1	22	50
done	22	50

end0.0ms

sample559.0ms

Algorithm

intervals

Results

281.0ms

10679×

body

valid