Details

sample94.0ms

Algorithm

intervals

Results

52.0ms

494×

body

valid

simplify42.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	60
4	60
3	58
2	44
1	24
0	11

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (/ z t) (/ t z))
4.9b	(fma x (/ x (* y y)) (/ (/ z t) (/ t z)))
11.7b	(/ x (* y y))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

424×	`times-frac`
201×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
30×	`div-inv`
20×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/l*`
14×	`associate-/r*`
10×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`prod-exp` `associate-/r/` `cbrt-unprod` `fma-udef` `associate-/l/`

Counts

3 → 250

Calls

3 calls:

40.0ms	(/ (/ z t) (/ t z))
1.0ms	(fma x (/ x (* y y)) (/ (/ z t) (/ t z)))
14.0ms	(/ x (* y y))

series284.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ (/ z t) (/ t z))
170.0ms	(fma x (/ x (* y y)) (/ (/ z t) (/ t z)))
49.0ms	(/ x (* y y))

simplify999.0ms

Counts

259 → 259

Iterations

Iter	Nodes
done	5000
1	1611
0	477

prune1.9s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b	(* (/ z t) (/ z t))
0.3b	(* (/ x y) (/ x y))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
80×	`times-frac`
59×	`*-un-lft-identity` `add-cube-cbrt`
27×	`add-cbrt-cube` `add-exp-log`
26×	`swap-sqr` `associate-r` `associate-l`
17×	`pow1`
9×	`frac-add`
8×	`frac-times` `cbrt-undiv` `div-exp` `associate-l/` `prod-exp` `associate-r/` `cbrt-unprod` `div-inv` `unswap-sqr`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+`

Counts

3 → 161

Calls

3 calls:

13.0ms	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
34.0ms	(* (/ z t) (/ z t))
21.0ms	(* (/ x y) (/ x y))

series244.0ms

Counts

3 → 9

Calls

3 calls:

157.0ms	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
39.0ms	(* (/ z t) (/ z t))
48.0ms	(* (/ x y) (/ x y))

simplify720.0ms

Counts

170 → 170

Iterations

Iter	Nodes
done	5001
1	939
0	261

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
1.2b	(* (/ (/ z t) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt` `times-frac`
45×	`add-exp-log`
32×	`add-cbrt-cube`
28×	`*-un-lft-identity` `add-cube-cbrt`
22×	`associate-r`
21×	`cbrt-prod`
17×	`cbrt-undiv` `div-exp` `associate-l`
14×	`prod-exp` `cbrt-unprod`
9×	`unswap-sqr`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 121

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
95.0ms	(* (/ (/ z t) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series1.0s

Counts

4 → 12

Calls

4 calls:

303.0ms	(cbrt t)
346.0ms	(cbrt t)
317.0ms	(cbrt t)
78.0ms	(* (/ (/ z t) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify2.4s

Counts

133 → 133

Iterations

Iter	Nodes
done	5001
2	4375
1	647
0	191

prune950.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ x y) (/ x y)) (* z (/ (/ z t) t)))
0.2b	(/ (/ z t) t)
0.3b	(* (/ x y) (/ x y))
4.6b	(* z (/ (/ z t) t))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

184×	`times-frac`
131×	`add-sqr-sqrt`
110×	`*-un-lft-identity` `add-cube-cbrt`
56×	`associate-r`
30×	`add-cbrt-cube` `add-exp-log`
16×	`associate-l`
13×	`pow1` `swap-sqr` `div-inv` `associate-/l*`
10×	`cbrt-undiv` `div-exp`
7×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`associate-*r/` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/r*` `frac-add`
2×	`frac-times` `pow-prod-down` `associate-l/` `-commutative`
1×	`pow2` `+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `pow-plus` `pow-sqr` `pow-prod-up` `flip-+` `associate-/l/`

Counts

4 → 225

Calls

4 calls:

12.0ms	(+ (* (/ x y) (/ x y)) (* z (/ (/ z t) t)))
9.0ms	(/ (/ z t) t)
35.0ms	(* (/ x y) (/ x y))
45.0ms	(* z (/ (/ z t) t))

series299.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(+ (* (/ x y) (/ x y)) (* z (/ (/ z t) t)))
28.0ms	(/ (/ z t) t)
36.0ms	(* (/ x y) (/ x y))
51.0ms	(* z (/ (/ z t) t))

simplify654.0ms

Counts

237 → 237

Iterations

Iter	Nodes
done	5000
1	1058
0	347

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes619.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 1.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.8s

15450×

body

valid