Details

sample28.0ms

Algorithm

intervals

Results

11.0ms	271×	body	80	valid
0.0ms	3×	body	640	valid

simplify104.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	22	6
1	39	5
2	67	5
3	119	5
4	185	5
5	252	5
6	313	5
7	399	5
8	562	5
9	721	5
10	1148	5
11	1303	5
12	1450	5
13	1454	5
14	1454	5
done	1454	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize11.0ms

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))

rewrite57.0ms

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:

25.0ms	(* 60.0 (- x y))
1.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
28.0ms	(/ (* 60.0 (- x y)) (- z t))

series213.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* 60.0 (- x y))
108.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
70.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify64.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	390	631
1	1733	455
2	5002	453
done	5002	453

prune240.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

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

rewrite64.0ms

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))))
27.0ms	(/ (- z t) (- x y))
24.0ms	(/ 60.0 (/ (- z t) (- x y)))

series472.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
60.0ms	(/ (- z t) (- x y))
305.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify99.0ms

Counts

217 → 217

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	676	1885
1	2984	1819
2	5001	1815
done	5001	1815

prune649.0ms

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 (/ (- 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))))
26.0ms	(/ (- x y) (- z t))
42.0ms	(* 60.0 (/ (- x y) (- z t)))

series239.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
59.0ms	(/ (- x y) (- z t))
74.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify58.0ms

Counts

125 → 125

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	395	752
1	1536	698
2	5001	696
done	5001	696

prune356.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 120.0 a (* (* (cbrt 60.0) (cbrt 60.0)) (* (cbrt 60.0) (/ (- x y) (- z t)))))
0.3b	(* (* (cbrt 60.0) (cbrt 60.0)) (* (cbrt 60.0) (/ (- x y) (- z t))))
0.3b	(* (cbrt 60.0) (/ (- x y) (- z t)))
1.0b	(* (cbrt 60.0) (cbrt 60.0))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
38×	`associate-r`
32×	`add-exp-log`
27×	`times-frac`
25×	`pow1` `add-cube-cbrt`
21×	`cbrt-prod`
18×	`add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
13×	`associate-l`
11×	`pow-prod-down`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`unswap-sqr`
6×	`pow1/3` `swap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-r/` `div-exp` `-commutative`
2×	`associate-/r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `flip3--` `pow-plus` `flip--` `fma-udef` `div-inv`

Counts

4 → 138

Calls

4 calls:

0.0ms	(fma 120.0 a (* (* (cbrt 60.0) (cbrt 60.0)) (* (cbrt 60.0) (/ (- x y) (- z t)))))
67.0ms	(* (* (cbrt 60.0) (cbrt 60.0)) (* (cbrt 60.0) (/ (- x y) (- z t))))
48.0ms	(* (cbrt 60.0) (/ (- x y) (- z t)))
11.0ms	(* (cbrt 60.0) (cbrt 60.0))

series495.0ms

Counts

4 → 10

Calls

4 calls:

200.0ms	(fma 120.0 a (* (* (cbrt 60.0) (cbrt 60.0)) (* (cbrt 60.0) (/ (- x y) (- z t)))))
147.0ms	(* (* (cbrt 60.0) (cbrt 60.0)) (* (cbrt 60.0) (/ (- x y) (- z t))))
147.0ms	(* (cbrt 60.0) (/ (- x y) (- z t)))
0.0ms	(* (cbrt 60.0) (cbrt 60.0))

simplify83.0ms

Counts

148 → 148

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	441	1093
1	1991	910
2	5002	855
done	5002	855

prune421.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes228.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5
done	12	5

end0.0ms

sample647.0ms

Algorithm

intervals

Results

277.0ms	8550×	body	80	valid
9.0ms	45×	body	640	valid
5.0ms	39×	body	1280	valid
5.0ms	28×	body	2560	valid
1.0ms	16×	body	320	valid
0.0ms	7×	body	160	valid