Details

sample65.0ms

Algorithm

intervals

Results

15.0ms	308×	body	80	nan
14.0ms	273×	body	80	valid

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	25	7
3	44	7
4	72	7
5	162	7
6	506	7
7	1673	7
done	5000	7

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma y (sqrt x) (- 1.0 x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma y (sqrt x) (- 1.0 x))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(fma y (sqrt x) (- 1.0 x))

simplify2.1s

Counts

13 → 13

Iterations

Useful iterations: 4 (559.0ms)

Iter	Nodes	Cost
0	26	126
1	53	123
2	119	109
3	339	109
4	1760	106
done	5000	106

prune107.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.4b	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.4b	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.4b	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

rewrite33.0ms

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:

2.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
2.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
2.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
24.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

series1.3s

Counts

4 → 12

Calls

4 calls:

310.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
316.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
308.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
336.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	122	1832
1	301	1693
2	994	1540
done	5001	1392

prune841.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
0.4b	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
0.4b	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
0.4b	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
26×	`add-sqr-sqrt`
18×	`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 → 90

Calls

4 calls:

3.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
10.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
3.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
23.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

series1.2s

Counts

4 → 12

Calls

4 calls:

301.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
306.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
310.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
331.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

simplify1.2s

Counts

102 → 102

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	137	2069
1	327	1933
2	1037	1771
done	5000	1650

prune867.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.4b	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
0.4b	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
0.7b	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (+ 3 1))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod`
27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
12×	`pow1`
9×	`unpow-prod-down` `pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-unpow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`unpow-prod-up` `pow2` `pow-to-exp` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `sqr-pow`

Counts

4 → 99

Calls

4 calls:

2.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
3.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
21.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
16.0ms	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (+ 3 1))

series1.3s

Counts

4 → 12

Calls

4 calls:

288.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
304.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
322.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
373.0ms	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (+ 3 1))

simplify2.8s

Counts

111 → 111

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	218	2328
1	620	2058
2	2464	1743
done	5001	1696

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes229.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
done	6	7

end0.0ms

sample1.9s

Algorithm

intervals

Results

599.0ms	8584×	body	80	nan
520.0ms	8551×	body	80	valid