Details

sample28.0ms

Algorithm

intervals

Results

12.0ms	275×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	13	13
1	22	13
2	39	12
3	67	12
4	118	12
5	169	12
6	225	12
7	282	12
8	357	12
9	455	12
10	564	12
11	639	12
12	702	12
13	730	12
done	730	12

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

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:

0.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
22.0ms	(* 60.0 (- x y))
29.0ms	(/ (* 60.0 (- x y)) (- z t))

series210.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
32.0ms	(* 60.0 (- x y))
72.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify851.0ms

Counts

96 → 96

Iterations

Useful iterations: done (848.0ms)

Iter	Nodes	Cost
0	180	1315
1	391	1126
2	1112	934
done	5001	910

prune216.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`div-sub` `fma-udef`

Counts

3 → 208

Calls

3 calls:

0.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
25.0ms	(/ (- z t) (- x y))
23.0ms	(/ 60.0 (/ (- z t) (- x y)))

series459.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
58.0ms	(/ (- z t) (- x y))
292.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify1.1s

Counts

217 → 217

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	294	3708
1	659	3482
2	2338	3352
done	5001	3346

prune588.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

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:

0.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
23.0ms	(/ (- x y) (- z t))
45.0ms	(* 60.0 (/ (- x y) (- z t)))

series243.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
59.0ms	(/ (- x y) (- z t))
76.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify1.6s

Counts

125 → 125

Iterations

Useful iterations: 2 (170.0ms)

Iter	Nodes	Cost
0	164	1547
1	391	1472
2	1056	1362
3	3153	1362
done	5001	1362

prune327.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))
0.8b	(/ 60.0 (/ (- z t) (cbrt (- x y))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

298×	`times-frac`
240×	`add-sqr-sqrt` `*-un-lft-identity`
130×	`add-cube-cbrt`
115×	`cbrt-prod`
55×	`distribute-lft-out--` `difference-of-squares`
46×	`associate-/r*`
14×	`cbrt-div`
9×	`add-exp-log` `associate-/r/`
8×	`add-cbrt-cube`
7×	`flip3--` `flip--`
5×	`div-inv`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp` `associate-/l*`
1×	`frac-2neg` `clear-num`

Counts

4 → 255

Calls

4 calls:

4.0ms	(cbrt (- x y))
4.0ms	(cbrt (- x y))
4.0ms	(cbrt (- x y))
31.0ms	(/ 60.0 (/ (- z t) (cbrt (- x y))))

series687.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt (- x y))
170.0ms	(cbrt (- x y))
165.0ms	(cbrt (- x y))
187.0ms	(/ 60.0 (/ (- z t) (cbrt (- x y))))

simplify1.3s

Counts

267 → 267

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	373	4989
1	817	4639
2	2317	4535
done	5000	4486

prune866.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes219.0ms

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
done	12	12

end0.0ms

sample662.0ms

Algorithm

intervals

Results

277.0ms	8498×	body	80	valid
11.0ms	52×	body	1280	valid
5.0ms	25×	body	2560	valid
4.0ms	37×	body	640	valid
1.0ms	12×	body	320	valid
1.0ms	10×	body	160	valid
0.0ms	1×	body	5120	valid