Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

331×

body

valid

simplify54.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	23	7
3	44	7
4	58	7
done	58	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 1.0 (* x y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`prod-diff`
5×	`distribute-rgt-in` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in`
3×	`pow1` `add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

24.0ms

(* x (- 1.0 (* x y)))

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

(* x (- 1.0 (* x y)))

simplify2.3s

Counts

35 → 35

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	71	411
1	151	408
2	382	356
3	1330	347
done	5000	311

prune102.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

12.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

311.0ms	(* (cbrt x) (cbrt x))
243.0ms	(cbrt x)
313.0ms	(cbrt x)
306.0ms	(cbrt x)

simplify5.3s

Counts

93 → 93

Iterations

Useful iterations: done (5.3s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune275.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* (- 1.0 (* y x)) (fma x y 1.0)) x)
0.1b	(* (- 1.0 (* y x)) (fma x y 1.0))
8.4b	(/ (* (* (- 1.0 (* y x)) (fma x y 1.0)) x) (+ 1.0 (* x y)))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `add-sqr-sqrt` `associate-*l/`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`associate-l` `pow-prod-down`
3×	`cbrt-undiv` `expm1-log1p-u` `flip3--` `times-frac` `div-exp` `associate-/r*` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`associate-/r/` `*-commutative` `fma-udef` `associate-/l/`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 75

Calls

3 calls:

68.0ms	(* (* (- 1.0 (* y x)) (fma x y 1.0)) x)
25.0ms	(* (- 1.0 (* y x)) (fma x y 1.0))
52.0ms	(/ (* (* (- 1.0 (* y x)) (fma x y 1.0)) x) (+ 1.0 (* x y)))

series424.0ms

Counts

3 → 9

Calls

3 calls:

168.0ms	(* (* (- 1.0 (* y x)) (fma x y 1.0)) x)
81.0ms	(* (- 1.0 (* y x)) (fma x y 1.0))
174.0ms	(/ (* (* (- 1.0 (* y x)) (fma x y 1.0)) x) (+ 1.0 (* x y)))

simplify1.4s

Counts

84 → 84

Iterations

Useful iterations: 2 (435.0ms)

Iter	Nodes	Cost
0	138	1503
1	378	1426
2	1867	1186
done	5001	1186

prune359.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ x (fma x y 1.0))
0.1b	(* (- 1.0 (* y x)) (fma x y 1.0))
4.6b	(* (* (- 1.0 (* y x)) (fma x y 1.0)) (/ x (fma x y 1.0)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
18×	`times-frac`
16×	`associate-r`
10×	`pow1`
8×	`associate-*l/`
7×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down`
3×	`cbrt-undiv` `expm1-log1p-u` `flip3--` `div-exp` `associate-/r` `flip--` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`frac-times` `*-commutative` `fma-udef` `div-inv`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-*r/` `clear-num` `unswap-sqr`

Counts

3 → 92

Calls

3 calls:

5.0ms	(/ x (fma x y 1.0))
19.0ms	(* (- 1.0 (* y x)) (fma x y 1.0))
41.0ms	(* (* (- 1.0 (* y x)) (fma x y 1.0)) (/ x (fma x y 1.0)))

series230.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(/ x (fma x y 1.0))
74.0ms	(* (- 1.0 (* y x)) (fma x y 1.0))
63.0ms	(* (* (- 1.0 (* y x)) (fma x y 1.0)) (/ x (fma x y 1.0)))

simplify1.7s

Counts

101 → 101

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	158	1706
1	404	1654
2	1807	1415
done	5001	1409

prune363.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes111.0ms

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	6	7
1	8	7
done	8	7

end0.0ms

sample890.0ms

Algorithm

intervals

Results

432.0ms

10642×

body

valid