Details

sample43.0ms

Algorithm

intervals

Results

18.0ms

333×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	3129
8	915
7	384
6	200
5	144
4	88
3	45
2	25
1	14
0	8

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize13.0ms

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)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`associate-/r` `times-frac` `associate-l*`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `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 → 61

Calls

3 calls:

24.0ms	(* y (- z x))
11.0ms	(+ x (/ (* y (- z x)) t))
13.0ms	(/ (* y (- z x)) t)

series206.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* y (- z x))
65.0ms	(+ x (/ (* y (- z x)) t))
73.0ms	(/ (* y (- z x)) t)

simplify723.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1164
1	309
0	113

prune415.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 114

Calls

2 calls:

48.0ms	(+ x (/ (- z x) (/ t y)))
18.0ms	(/ (- z x) (/ t y))

series156.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(+ x (/ (- z x) (/ t y)))
77.0ms	(/ (- z x) (/ t y))

simplify1.2s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	3073
1	661
0	217

prune651.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z x))
0.6b	(* (cbrt (- z x)) (cbrt (- z x)))
2.2b	(* (* (cbrt (- z x)) (cbrt (- z x))) (/ (cbrt (- z x)) (/ t y)))
3.5b	(/ (cbrt (- z x)) (/ t y))

rewrite331.0ms

Algorithm

rewrite-expression-head

Rules

367×	`times-frac`
270×	`add-sqr-sqrt`
257×	`*-un-lft-identity`
187×	`add-cube-cbrt`
170×	`cbrt-prod`
117×	`associate-r`
40×	`cbrt-div`
34×	`distribute-lft-out--`
32×	`add-exp-log` `difference-of-squares`
20×	`frac-times` `flip3--` `flip--`
19×	`div-inv`
18×	`add-cbrt-cube`
16×	`pow1`
14×	`associate-*l/`
13×	`associate-/r*`
10×	`swap-sqr` `prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp` `associate-l` `unswap-sqr`
8×	`associate-/l*`
7×	`pow1/3` `associate-*r/`
5×	`pow-prod-down`
4×	`add-log-exp`
2×	`associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/`
1×	`pow2` `clear-num` `frac-2neg` `pow-plus`

Counts

4 → 367

Calls

4 calls:

7.0ms	(cbrt (- z x))
64.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
183.0ms	(* (* (cbrt (- z x)) (cbrt (- z x))) (/ (cbrt (- z x)) (/ t y)))
34.0ms	(/ (cbrt (- z x)) (/ t y))

series1.1s

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt (- z x))
214.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
77.0ms	(* (* (cbrt (- z x)) (cbrt (- z x))) (/ (cbrt (- z x)) (/ t y)))
570.0ms	(/ (cbrt (- z x)) (/ t y))

simplify953.0ms

Counts

379 → 379

Iterations

Iter	Nodes
done	5001
1	1684
0	514

prune2.5s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z x) t)
0.0b	(+ x (/ (/ (- z x) t) (/ 1 y)))
5.9b	(/ (/ (- z x) t) (/ 1 y))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

652×	`times-frac`
373×	`*-un-lft-identity`
371×	`add-sqr-sqrt`
279×	`add-cube-cbrt`
46×	`distribute-lft-out--` `difference-of-squares`
36×	`div-inv`
27×	`add-exp-log`
24×	`associate-/l*`
17×	`add-cbrt-cube` `div-exp`
16×	`associate-/r*`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `associate-/l/`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `distribute-lft-out`

Counts

3 → 355

Calls

3 calls:

18.0ms	(/ (- z x) t)
155.0ms	(+ x (/ (/ (- z x) t) (/ 1 y)))
53.0ms	(/ (/ (- z x) t) (/ 1 y))

series206.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (- z x) t)
78.0ms	(+ x (/ (/ (- z x) t) (/ 1 y)))
82.0ms	(/ (/ (- z x) t) (/ 1 y))

simplify970.0ms

Counts

364 → 364

Iterations

Iter	Nodes
done	5001
1	1787
0	537

prune1.2s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes500.0ms

Accuracy

0% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
2	15
1	14
0	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.0s

10676×

body

valid