Details

sample48.0ms

Algorithm

intervals

Results

19.0ms

282×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
11	2268
10	810
9	491
8	355
7	284
6	249
5	158
4	96
3	56
2	35
1	21
0	10

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- z a))
0.0b	(+ x (* y (/ (- z t) (- z a))))
1.6b	(* y (/ (- z t) (- z a)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

19.0ms	(/ (- z t) (- z a))
5.0ms	(+ x (* y (/ (- z t) (- z a))))
35.0ms	(* y (/ (- z t) (- z a)))

series222.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ (- z t) (- z a))
93.0ms	(+ x (* y (/ (- z t) (- z a))))
70.0ms	(* y (/ (- z t) (- z a)))

simplify777.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	1780
1	448
0	162

prune730.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.5b	(/ 1 (/ (- z a) (- z t)))
1.6b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*` `add-exp-log`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 338

Calls

4 calls:

8.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
34.0ms	(/ (- z a) (- z t))
21.0ms	(/ 1 (/ (- z a) (- z t)))
69.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series470.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
71.0ms	(/ (- z a) (- z t))
133.0ms	(/ 1 (/ (- z a) (- z t)))
154.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify485.0ms

Counts

350 → 350

Iterations

Iter	Nodes
done	5001
1	1101
0	372

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
1.8b	(/ y (/ (- z a) (- z t)))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

75.0ms	(+ x (/ y (/ (- z a) (- z t))))
33.0ms	(/ (- z a) (- z t))
45.0ms	(/ y (/ (- z a) (- z t)))

series339.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(+ x (/ y (/ (- z a) (- z t))))
73.0ms	(/ (- z a) (- z t))
156.0ms	(/ y (/ (- z a) (- z t)))

simplify1.6s

Counts

215 → 215

Iterations

Iter	Nodes
done	5002
2	4024
1	801
0	292

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- z a))
0.0b	(+ x (* (/ y (- z a)) (- z t)))
8.7b	(* (/ y (- z a)) (- z t))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

13.0ms	(/ y (- z a))
6.0ms	(+ x (* (/ y (- z a)) (- z t)))
40.0ms	(* (/ y (- z a)) (- z t))

series285.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ y (- z a))
112.0ms	(+ x (* (/ y (- z a)) (- z t)))
138.0ms	(* (/ y (- z a)) (- z t))

simplify779.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	1826
1	439
0	166

prune671.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes664.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

573.0ms

8782×

body

valid