Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	270×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	13	13
1	22	13
2	39	12
3	66	12
4	108	12
5	161	12
6	217	12
7	265	12
8	327	12
9	426	12
10	548	12
11	620	12
12	712	12
13	752	12
done	752	12

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
0.7b	(/ (* 60.0 (- x y)) (- z t))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `times-frac` `associate-r` `associate-/r*`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `fma-udef` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 87

Calls

3 calls:

11.0ms	(* 60.0 (- x y))
0.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
13.0ms	(/ (* 60.0 (- x y)) (- z t))

series182.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* 60.0 (- x y))
89.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
62.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify2.1s

Counts

96 → 96

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	180	1315
1	391	1126
2	1127	934
3	4829	892
done	5000	892

prune225.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

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-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `fma-udef`

Counts

3 → 116

Calls

3 calls:

12.0ms	(/ (- x y) (- z t))
0.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
24.0ms	(* 60.0 (/ (- x y) (- z t)))

series204.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (- x y) (- z t))
89.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
64.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify1.6s

Counts

125 → 125

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	164	1547
1	396	1472
2	1024	1362
3	3117	1362
done	5001	1360

prune327.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 97

Calls

3 calls:

0.0ms	(fma 120.0 a (* 1 (* (- x y) (/ 60.0 (- z t)))))
7.0ms	(/ 60.0 (- z t))
23.0ms	(* (- x y) (/ 60.0 (- z t)))

series192.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(fma 120.0 a (* 1 (* (- x y) (/ 60.0 (- z t)))))
45.0ms	(/ 60.0 (- z t))
59.0ms	(* (- x y) (/ 60.0 (- z t)))

simplify900.0ms

Counts

106 → 106

Iterations

Useful iterations: 2 (162.0ms)

Iter	Nodes	Cost
0	158	1225
1	351	1152
2	1219	1050
done	5001	1050

prune312.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.0b	(* 60.0 (- x y))
0.0b	(fma 120.0 a (* (* 60.0 (- x y)) (/ 1 (- z t))))
0.8b	(* (* 60.0 (- x y)) (/ 1 (- z t)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
37×	`add-cube-cbrt`
32×	`add-exp-log`
30×	`times-frac`
26×	`associate-r`
20×	`add-cbrt-cube`
18×	`prod-diff`
13×	`prod-exp`
12×	`pow1`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`associate-*r/` `cbrt-unprod`
6×	`div-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*`
2×	`frac-times` `sub-neg` `associate-l/` `-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `un-div-inv` `fma-udef` `inv-pow` `unswap-sqr`

Counts

4 → 151

Calls

4 calls:

5.0ms	(/ 1 (- z t))
12.0ms	(* 60.0 (- x y))
0.0ms	(fma 120.0 a (* (* 60.0 (- x y)) (/ 1 (- z t))))
24.0ms	(* (* 60.0 (- x y)) (/ 1 (- z t)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ 1 (- z t))
33.0ms	(* 60.0 (- x y))
90.0ms	(fma 120.0 a (* (* 60.0 (- x y)) (/ 1 (- z t))))
59.0ms	(* (* 60.0 (- x y)) (/ 1 (- z t)))

simplify1.6s

Counts

163 → 163

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	239	2129
1	550	1751
2	1729	1445
done	5000	1427

prune324.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes227.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	12
1	13	12
done	13	12

end0.0ms

sample535.0ms

Algorithm

intervals

Results

273.0ms	8562×	body	80	valid
6.0ms	40×	body	1280	valid
4.0ms	33×	body	640	valid
3.0ms	18×	body	2560	valid
1.0ms	17×	body	320	valid
0.0ms	8×	body	160	valid