Details

sample47.0ms

Algorithm

intervals

Results

18.0ms	263×	body	80	valid
1.0ms	3×	body	1280	valid
1.0ms	3×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	13	13
1	22	13
2	39	12
3	67	12
4	122	12
5	201	12
6	293	12
7	361	12
8	504	12
9	972	12
10	3182	12
done	5000	12

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

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)))
0.5b	(/ (* 60.0 (- x y)) (- z t))

rewrite68.0ms

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:

33.0ms	(* 60.0 (- x y))
0.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
30.0ms	(/ (* 60.0 (- x y)) (- z t))

series268.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* 60.0 (- x y))
134.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
90.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify1.1s

Counts

96 → 96

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	180	1315
1	442	1132
2	1837	942
done	5001	910

prune254.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

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)))

rewrite95.0ms

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:

34.0ms	(/ (- x y) (- z t))
0.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
52.0ms	(* 60.0 (/ (- x y) (- z t)))

series310.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(/ (- x y) (- z t))
136.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
93.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify932.0ms

Counts

125 → 125

Iterations

Useful iterations: done (924.0ms)

Iter	Nodes	Cost
0	164	1547
1	420	1484
2	1618	1370
done	5000	1366

prune357.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--`
5×	`associate-/r*`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-*l/` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `fma-udef` `inv-pow`

Counts

4 → 135

Calls

4 calls:

12.0ms	(/ 1 (- z t))
0.0ms	(fma 120.0 a (* 60.0 (* (- x y) (/ 1 (- z t)))))
54.0ms	(* (- x y) (/ 1 (- z t)))
79.0ms	(* 60.0 (* (- x y) (/ 1 (- z t))))

series346.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ 1 (- z t))
161.0ms	(fma 120.0 a (* 60.0 (* (- x y) (/ 1 (- z t)))))
73.0ms	(* (- x y) (/ 1 (- z t)))
74.0ms	(* 60.0 (* (- x y) (/ 1 (- z t))))

simplify6.5s

Counts

147 → 147

Iterations

Useful iterations: done (6.5s)

Iter	Nodes	Cost
0	187	1728
1	460	1555
2	3336	1250
done	5000	1240

prune511.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(fma 120.0 a (/ 1 (/ (- z t) (* 60.0 (- x y)))))
0.5b	(/ (- z t) (* 60.0 (- x y)))
0.5b	(/ 1 (/ (- z t) (* 60.0 (- x y))))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 162

Calls

4 calls:

24.0ms	(* 60.0 (- x y))
0.0ms	(fma 120.0 a (/ 1 (/ (- z t) (* 60.0 (- x y)))))
50.0ms	(/ (- z t) (* 60.0 (- x y)))
53.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))

series663.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* 60.0 (- x y))
131.0ms	(fma 120.0 a (/ 1 (/ (- z t) (* 60.0 (- x y)))))
97.0ms	(/ (- z t) (* 60.0 (- x y)))
391.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))

simplify1.7s

Counts

174 → 174

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	271	2663
1	662	2307
2	2690	2029
done	5001	1949

prune477.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes249.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	8526×	body	80	valid
37.0ms	39×	body	640	valid
12.0ms	45×	body	1280	valid
6.0ms	17×	body	2560	valid
3.0ms	19×	body	320	valid
2.0ms	12×	body	160	valid