Details

sample47.0ms

Algorithm

intervals

Results

30.0ms

278×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
29	4873
28	4661
27	4456
26	4244
25	4037
24	3825
23	3620
22	3408
21	3199
20	2984
19	2775
18	2560
17	2343
16	2094
15	1816
14	1445
13	1266
12	898
11	542
10	315
9	258
8	217
7	197
6	168
5	129
4	86
3	53
2	34
1	20
0	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.9b	(* y (/ (- z t) (- a t)))

rewrite46.0ms

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` `insert-posit16` `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 → 116

Calls

3 calls:

5.0ms	(+ x (* y (/ (- z t) (- a t))))
14.0ms	(/ (- z t) (- a t))
24.0ms	(* y (/ (- z t) (- a t)))

series242.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(+ x (* y (/ (- z t) (- a t))))
63.0ms	(/ (- z t) (- a t))
72.0ms	(* y (/ (- z t) (- a t)))

simplify1.4s

Counts

125 → 125

Iterations

Iter	Nodes
done	5004
2	1371
1	442
0	165

prune526.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (- a t) (- z t)))
2.9b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite111.0ms

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` `insert-posit16`
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 → 342

Calls

4 calls:

7.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
25.0ms	(/ (- a t) (- z t))
26.0ms	(/ 1 (/ (- a t) (- z t)))
42.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series565.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
52.0ms	(/ (- a t) (- z t))
164.0ms	(/ 1 (/ (- a t) (- z t)))
213.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify1.9s

Counts

354 → 354

Iterations

Iter	Nodes
done	5006
2	2900
1	1078
0	377

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
6.9b	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
50×	`times-frac`
46×	`associate-r`
42×	`cbrt-prod`
28×	`add-cube-cbrt`
25×	`add-exp-log`
20×	`cbrt-div`
18×	`add-cbrt-cube`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-l/` `associate-r/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 140

Calls

4 calls:

3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
109.0ms	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

series827.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt (- a t))
207.0ms	(cbrt (- a t))
203.0ms	(cbrt (- a t))
210.0ms	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

simplify2.7s

Counts

152 → 152

Iterations

Iter	Nodes
done	5001
2	2462
1	670
0	226

prune710.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ y (- a t)) (- z t)))
0.0b	(/ y (- a t))
9.6b	(* (/ y (- a t)) (- z t))

rewrite49.0ms

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×	`insert-posit16` `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 → 105

Calls

3 calls:

6.0ms	(+ x (* (/ y (- a t)) (- z t)))
8.0ms	(/ y (- a t))
34.0ms	(* (/ y (- a t)) (- z t))

series439.0ms

Counts

3 → 9

Calls

3 calls:

180.0ms	(+ x (* (/ y (- a t)) (- z t)))
47.0ms	(/ y (- a t))
211.0ms	(* (/ y (- a t)) (- z t))

simplify1.3s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	1482
1	436
0	169

prune382.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes480.0ms

Accuracy

59.4% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.4b

bsearch47.0ms

Steps

Iters	Range		Point
4	91584828058900.6	178908613175047.97	97982161437615.03
3	-3.6688131718310045e+43	-2.568444243826125e+43	-2.6372173018264303e+43

simplify5.0ms

Iterations

Iter	Nodes
done	26
1	26
0	19

end0.0ms

sample1.2s

Algorithm

intervals

Results

871.0ms	8730×	body	80	valid
0.0ms	1×	body	640	valid