Details

sample39.0ms

Algorithm

intervals

Results

19.0ms

275×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	205
1	18	205
2	33	205
3	58	205
4	105	205
5	167	205
6	223	205
7	314	205
8	504	205
9	935	205
10	2768	205
done	5002	205

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
9.8b	(/ (* y (- z t)) (- z a))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

21.0ms	(+ x (/ (* y (- z t)) (- z a)))
37.0ms	(* y (- z t))
33.0ms	(/ (* y (- z t)) (- z a))

series274.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(+ x (/ (* y (- z t)) (- z a)))
66.0ms	(* y (- z t))
95.0ms	(/ (* y (- z t)) (- z a))

simplify1.7s

Counts

76 → 76

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	128	15960
1	353	14381
2	1356	14301
done	5002	14061

prune508.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
1.5b	(/ y (/ (- z a) (- z t)))

rewrite144.0ms

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:

76.0ms	(+ x (/ y (/ (- z a) (- z t))))
28.0ms	(/ (- z a) (- z t))
21.0ms	(/ y (/ (- z a) (- z t)))

series319.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(+ x (/ y (/ (- z a) (- z t))))
58.0ms	(/ (- z a) (- z t))
147.0ms	(/ y (/ (- z a) (- z t)))

simplify2.4s

Counts

215 → 215

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	292	81834
1	801	76071
2	4024	74441
done	5002	74361

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.6b	(* (cbrt (- z t)) (cbrt (- z t)))
0.6b	(* (cbrt (- z a)) (cbrt (- z a)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

66×	`cbrt-prod`
58×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
28×	`cbrt-div`
22×	`add-cube-cbrt`
20×	`swap-sqr`
18×	`pow1`
16×	`associate-r` `associate-l`
14×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
10×	`difference-of-squares`
8×	`frac-times` `add-exp-log` `unswap-sqr`
4×	`add-cbrt-cube` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 142

Calls

4 calls:

3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))
48.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
47.0ms	(* (cbrt (- z a)) (cbrt (- z a)))

series773.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt (- z a))
220.0ms	(cbrt (- z a))
159.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
215.0ms	(* (cbrt (- z a)) (cbrt (- z a)))

simplify1.4s

Counts

154 → 154

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	209	51224
1	450	42958
2	1601	42516
done	5001	41496

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite129.0ms

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:

10.0ms	(+ x (* y (/ (- z t) (- z a))))
35.0ms	(/ (- z t) (- z a))
75.0ms	(* y (/ (- z t) (- z a)))

series286.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(+ x (* y (/ (- z t) (- z a))))
53.0ms	(/ (- z t) (- z a))
91.0ms	(* y (/ (- z t) (- z a)))

simplify1.3s

Counts

122 → 122

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	162	31006
1	448	28614
2	1781	28128
done	5001	28048

prune663.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes377.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	525
1	18	525
done	18	525

end0.0ms

sample1.4s

Algorithm

intervals

Results

943.0ms	8710×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid