Details

sample31.0ms

Algorithm

intervals

Results

15.0ms

334×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3868
6	855
5	274
4	179
3	96
2	46
1	25
0	14

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
11.2b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-cbrt-cube` `add-exp-log`
11×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `pow1`
8×	`add-log-exp`
7×	`add-cube-cbrt`
5×	`associate-r`
4×	`distribute-rgt-in` `associate-+r+` `sub-neg` `distribute-lft-in` `prod-exp` `cbrt-unprod`
3×	`flip3-+` `times-frac` `pow-prod-down` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `+-commutative` `sum-log` `div-exp` `associate-*r/` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `flip3--` `associate-l` `frac-add` `-commutative` `div-inv` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 77

Calls

4 calls:

8.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
24.0ms	(* (* z 2.0) (- 1.0 t))
34.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
32.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series245.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
67.0ms	(* (* z 2.0) (- 1.0 t))
60.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
69.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.5s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	2215
1	449
0	150

prune534.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (/ (/ 2.0 t) z) 2.0) (/ 2.0 t))
0.0b	(+ (/ x y) (+ (- (/ (/ 2.0 t) z) 2.0) (/ 2.0 t)))
0.2b	(/ (/ 2.0 t) z)

rewrite707.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
59×	`*-un-lft-identity`
45×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`add-log-exp`
13×	`associate-/l*`
8×	`add-cbrt-cube` `frac-add` `add-exp-log`
7×	`sum-log` `distribute-lft-out`
5×	`div-inv`
3×	`pow1` `cbrt-undiv` `associate-/r*` `flip3-+` `div-exp` `flip-+`
2×	`+-commutative` `associate-+l+` `flip3--` `diff-log` `associate-+l-` `flip--` `distribute-lft-out--`
1×	`associate-+r+` `clear-num` `associate-+r-` `sub-neg` `frac-2neg` `associate-/l/`

Counts

3 → 111

Calls

3 calls:

196.0ms	(+ (- (/ (/ 2.0 t) z) 2.0) (/ 2.0 t))
497.0ms	(+ (/ x y) (+ (- (/ (/ 2.0 t) z) 2.0) (/ 2.0 t)))
9.0ms	(/ (/ 2.0 t) z)

series152.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (- (/ (/ 2.0 t) z) 2.0) (/ 2.0 t))
74.0ms	(+ (/ x y) (+ (- (/ (/ 2.0 t) z) 2.0) (/ 2.0 t)))
32.0ms	(/ (/ 2.0 t) z)

simplify1.4s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	3083
1	674
0	245

prune701.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (* (/ 2.0 t) (/ 1 z)) 2.0) (/ 2.0 t))
0.0b	(+ (/ x y) (+ (- (* (/ 2.0 t) (/ 1 z)) 2.0) (/ 2.0 t)))
0.3b	(* (/ 2.0 t) (/ 1 z))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
25×	`times-frac` `add-exp-log`
17×	`add-cube-cbrt` `add-log-exp`
15×	`add-cbrt-cube`
13×	`associate-r` `associate-l`
8×	`div-exp` `frac-add` `prod-exp`
7×	`sum-log`
6×	`unswap-sqr`
5×	`pow1`
4×	`cbrt-undiv` `cbrt-unprod` `distribute-lft-out`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `rec-exp` `associate-+l+` `flip3--` `diff-log` `1-exp` `associate-+l-` `div-inv` `flip--`
1×	`frac-times` `associate-+r+` `associate-+r-` `sub-neg` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative`

Counts

3 → 96

Calls

3 calls:

86.0ms	(+ (- (* (/ 2.0 t) (/ 1 z)) 2.0) (/ 2.0 t))
197.0ms	(+ (/ x y) (+ (- (* (/ 2.0 t) (/ 1 z)) 2.0) (/ 2.0 t)))
28.0ms	(* (/ 2.0 t) (/ 1 z))

series143.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (- (* (/ 2.0 t) (/ 1 z)) 2.0) (/ 2.0 t))
69.0ms	(+ (/ x y) (+ (- (* (/ 2.0 t) (/ 1 z)) 2.0) (/ 2.0 t)))
33.0ms	(* (/ 2.0 t) (/ 1 z))

simplify2.1s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	3587
1	673
0	211

prune542.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

13.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series975.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(* (cbrt z) (cbrt z))
262.0ms	(cbrt z)
233.0ms	(cbrt z)
230.0ms	(cbrt z)

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune524.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes364.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

931.0ms

10468×

body

valid