Details

sample30.0ms

Algorithm

intervals

Results

16.0ms

348×

body

valid

simplify51.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite39.0ms

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:

37.0ms

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

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

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

simplify1.9s

Counts

35 → 35

Iterations

Useful iterations: done (1.9s)

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

prune84.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

46.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
7.0ms	(cbrt (- 1.0 (* x y)))
6.0ms	(cbrt (- 1.0 (* x y)))
6.0ms	(cbrt (- 1.0 (* x y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

323.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
329.0ms	(cbrt (- 1.0 (* x y)))
347.0ms	(cbrt (- 1.0 (* x y)))
375.0ms	(cbrt (- 1.0 (* x y)))

simplify3.0s

Counts

107 → 107

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	152	2108
1	370	1928
2	1192	1787
3	4417	1474
done	5000	1474

prune437.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* x y)))
1.6b	(/ (* (cbrt (* (- 1.0 (* x y)) (fma y x 1.0))) (cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))) (* (cbrt (fma y x 1.0)) (cbrt (fma y x 1.0))))
5.4b	(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))
5.4b	(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div` `associate-*l/`
16×	`add-exp-log`
9×	`flip3--` `flip--`
8×	`add-cbrt-cube` `associate-/l/`
5×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`associate-*r/`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 72

Calls

4 calls:

6.0ms	(cbrt (- 1.0 (* x y)))
43.0ms	(/ (* (cbrt (* (- 1.0 (* x y)) (fma y x 1.0))) (cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))) (* (cbrt (fma y x 1.0)) (cbrt (fma y x 1.0))))
13.0ms	(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))
8.0ms	(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))

series1.0s

Counts

4 → 12

Calls

4 calls:

323.0ms	(cbrt (- 1.0 (* x y)))
345.0ms	(/ (* (cbrt (* (- 1.0 (* x y)) (fma y x 1.0))) (cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))) (* (cbrt (fma y x 1.0)) (cbrt (fma y x 1.0))))
163.0ms	(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))
180.0ms	(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))

simplify1.1s

Counts

84 → 84

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	180	2263
1	491	2073
2	1763	1689
done	5000	1457

prune524.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- 1.0 (* y x)) (fma x y 1.0))
0.8b	(* (* (- 1.0 (* y x)) (fma x y 1.0)) x)
5.9b	(/ (* (* (- 1.0 (* y x)) (fma x y 1.0)) x) (+ 1.0 (* x y)))

rewrite113.0ms

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:

31.0ms	(* (- 1.0 (* y x)) (fma x y 1.0))
32.0ms	(* (* (- 1.0 (* y x)) (fma x y 1.0)) x)
48.0ms	(/ (* (* (- 1.0 (* y x)) (fma x y 1.0)) x) (+ 1.0 (* x y)))

series349.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(* (- 1.0 (* y x)) (fma x y 1.0))
128.0ms	(* (* (- 1.0 (* y x)) (fma x y 1.0)) x)
131.0ms	(/ (* (* (- 1.0 (* y x)) (fma x y 1.0)) x) (+ 1.0 (* x y)))

simplify1.2s

Counts

84 → 84

Iterations

Useful iterations: 2 (348.0ms)

Iter	Nodes	Cost
0	138	1503
1	378	1426
2	1862	1186
done	5001	1186

prune294.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes116.0ms

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	6	7
1	8	7
done	8	7

end0.0ms

sample714.0ms

Algorithm

intervals

Results

400.0ms

10660×

body

valid