Details

sample55.0ms

Algorithm

intervals

Results

33.0ms	271×	body	80	valid
1.0ms	2×	body	640	valid
1.0ms	1×	body	2560	valid
1.0ms	1×	body	1280	valid

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
22	4974
21	4712
20	4407
19	4147
18	3842
17	3580
16	3270
15	2998
14	2618
13	2048
12	1486
11	1045
10	683
9	442
8	352
7	271
6	212
5	156
4	101
3	58
2	37
1	22
0	13

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 60.0 (- z t))
0.1b	(fma (/ 60.0 (- z t)) (- x y) (* a 120.0))

rewrite19.0ms

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:

17.0ms	(/ 60.0 (- z t))
1.0ms	(fma (/ 60.0 (- z t)) (- x y) (* a 120.0))

series271.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ 60.0 (- z t))
215.0ms	(fma (/ 60.0 (- z t)) (- x y) (* a 120.0))

simplify1.4s

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
3	1525
2	500
1	189
0	100

prune369.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z t))
0.1b	(fma (* 60.0 (/ 1 (- z t))) (- x y) (* a 120.0))
0.2b	(* 60.0 (/ 1 (- z t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `cbrt-unprod` `div-inv` `flip--`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 102

Calls

3 calls:

9.0ms	(/ 1 (- z t))
0.0ms	(fma (* 60.0 (/ 1 (- z t))) (- x y) (* a 120.0))
18.0ms	(* 60.0 (/ 1 (- z t)))

series332.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ 1 (- z t))
200.0ms	(fma (* 60.0 (/ 1 (- z t))) (- x y) (* a 120.0))
84.0ms	(* 60.0 (/ 1 (- z t)))

simplify2.0s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
3	2261
2	829
1	310
0	141

prune543.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ (- x y) (- z t)) 60.0) (* a 120.0))
0.0b	(/ (- x y) (- z t))
0.3b	(* (/ (- x y) (- z t)) 60.0)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
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-r` `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-l/` `-commutative` `flip-+`

Counts

3 → 123

Calls

3 calls:

16.0ms	(+ (* (/ (- x y) (- z t)) 60.0) (* a 120.0))
24.0ms	(/ (- x y) (- z t))
28.0ms	(* (/ (- x y) (- z t)) 60.0)

series370.0ms

Counts

3 → 9

Calls

3 calls:

178.0ms	(+ (* (/ (- x y) (- z t)) 60.0) (* a 120.0))
87.0ms	(/ (- x y) (- z t))
105.0ms	(* (/ (- x y) (- z t)) 60.0)

simplify1.9s

Counts

132 → 132

Iterations

Iter	Nodes
done	5001
2	1510
1	492
0	184

prune644.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ 1 (/ (- z t) (- x y))) 60.0) (* a 120.0))
0.0b	(/ (- z t) (- x y))
0.3b	(* (/ 1 (/ (- z t) (- x y))) 60.0)
0.9b	(/ 1 (/ (- z t) (- x y)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-l`
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-r` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 350

Calls

4 calls:

18.0ms	(+ (* (/ 1 (/ (- z t) (- x y))) 60.0) (* a 120.0))
17.0ms	(/ (- z t) (- x y))
32.0ms	(* (/ 1 (/ (- z t) (- x y))) 60.0)
27.0ms	(/ 1 (/ (- z t) (- x y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

234.0ms	(+ (* (/ 1 (/ (- z t) (- x y))) 60.0) (* a 120.0))
71.0ms	(/ (- z t) (- x y))
426.0ms	(* (/ 1 (/ (- z t) (- x y))) 60.0)
351.0ms	(/ 1 (/ (- z t) (- x y)))

simplify2.4s

Counts

362 → 362

Iterations

Iter	Nodes
done	5009
2	3005
1	1135
0	391

prune1.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes665.0ms

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	15
1	15
0	13

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.0s	8511×	body	80	valid
57.0ms	16×	body	2560	valid
25.0ms	51×	body	1280	valid
17.0ms	38×	body	640	valid
5.0ms	17×	body	320	valid
4.0ms	18×	body	160	valid