Details

sample40.0ms

Algorithm

intervals

Results

23.0ms

278×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
21	4733
20	4431
19	4132
18	3790
17	3489
16	3146
15	2840
14	2378
13	1801
12	1283
11	859
10	585
9	413
8	338
7	257
6	204
5	146
4	95
3	52
2	30
1	17
0	10

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
2.8b	(fma (/ y (- a t)) (- z t) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 51

Calls

2 calls:

9.0ms	(/ y (- a t))
4.0ms	(fma (/ y (- a t)) (- z t) x)

series322.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ y (- a t))
276.0ms	(fma (/ y (- a t)) (- z t) x)

simplify1.7s

Counts

57 → 57

Iterations

Iter	Nodes
done	5002
3	1379
2	448
1	175
0	94

prune372.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
47×	`add-cube-cbrt`
36×	`prod-diff`
31×	`times-frac`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
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×	`sub-neg` `flip3--` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `-commutative` `flip-+`

Counts

3 → 148

Calls

3 calls:

20.0ms	(+ (* (/ y (- a t)) (- z t)) x)
9.0ms	(/ y (- a t))
45.0ms	(* (/ y (- a t)) (- z t))

series630.0ms

Counts

3 → 9

Calls

3 calls:

355.0ms	(+ (* (/ y (- a t)) (- z t)) x)
42.0ms	(/ y (- a t))
233.0ms	(* (/ y (- a t)) (- z t))

simplify1.7s

Counts

157 → 157

Iterations

Iter	Nodes
done	5000
2	1691
1	630
0	229

prune982.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite91.0ms

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×	`expm1-log1p-u` `flip3--` `associate-l` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 123

Calls

3 calls:

27.0ms	(+ (* y (/ (- z t) (- a t))) x)
16.0ms	(/ (- z t) (- a t))
43.0ms	(* y (/ (- z t) (- a t)))

series327.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(+ (* y (/ (- z t) (- a t))) x)
80.0ms	(/ (- z t) (- a t))
111.0ms	(* y (/ (- z t) (- a t)))

simplify1.8s

Counts

132 → 132

Iterations

Iter	Nodes
done	5005
2	1387
1	457
0	171

prune678.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

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×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u`
3×	`associate-l` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 351

Calls

4 calls:

17.0ms	(+ (* y (/ 1 (/ (- a t) (- z t)))) x)
30.0ms	(/ (- a t) (- z t))
31.0ms	(/ 1 (/ (- a t) (- z t)))
37.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series898.0ms

Counts

4 → 12

Calls

4 calls:

431.0ms	(+ (* y (/ 1 (/ (- a t) (- z t)))) x)
76.0ms	(/ (- a t) (- z t))
181.0ms	(/ 1 (/ (- a t) (- z t)))
210.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify2.4s

Counts

363 → 363

Iterations

Iter	Nodes
done	5003
2	2939
1	1094
0	385

prune1.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes432.0ms

Accuracy

83.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.4b

bsearch2.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	28
1	28
0	22

end0.0ms

sample1.8s

Algorithm

intervals

Results

930.0ms	8730×	body	80	valid
0.0ms	1×	body	640	valid