Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify129.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	31	9
1	59	9
2	90	9
3	116	7
4	130	7
5	148	7
6	188	7
7	264	7
8	304	7
9	377	7
10	580	7
11	851	7
12	1402	7
13	2787	7
14	3168	7
15	4321	7
16	5001	7
done	5001	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
14.4b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

0.0ms	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
7.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
10.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series225.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
54.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
72.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify34.0ms

Counts

77 → 77

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	272	452
1	1121	382
2	5002	382
done	5002	382

prune211.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b

(fma (- x) 0.70711 (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)))

0.1b

(fma x (fma 0.04481 x 0.99229) 1.0)

14.4b

(/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 49

Calls

3 calls:

0.0ms

(fma (- x) 0.70711 (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)))

0.0ms

(fma x (fma 0.04481 x 0.99229) 1.0)

5.0ms

(/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0))

series160.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms

(fma (- x) 0.70711 (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)))

25.0ms

(fma x (fma 0.04481 x 0.99229) 1.0)

65.0ms

(/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify74.0ms

Counts

58 → 58

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	201	402
1	579	359
2	2757	355
3	5002	349
done	5002	349

prune315.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
0.3b	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
14.0b	(* (* 0.70711 (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
7.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
5.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
22.0ms	(* (* 0.70711 (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

series195.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
50.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
45.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
72.0ms	(* (* 0.70711 (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

simplify55.0ms

Counts

117 → 117

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	418	698
1	2015	581
2	5003	552
done	5003	552

prune262.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
0.3b	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
14.0b	(* (* 0.70711 (fma 0.27061 x 2.30753)) (expm1 (log1p (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
13×	`add-cbrt-cube`
12×	`pow1`
9×	`times-frac`
6×	`associate-r`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `fma-udef` `associate-/l`
2×	`div-exp` `*-commutative`
1×	`cbrt-undiv` `distribute-rgt-in` `rec-exp` `pow-flip` `frac-2neg` `distribute-lft-in` `1-exp` `clear-num` `div-inv` `inv-pow` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
7.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
5.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
18.0ms	(* (* 0.70711 (fma 0.27061 x 2.30753)) (expm1 (log1p (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))))

series393.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
49.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
49.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
264.0ms	(* (* 0.70711 (fma 0.27061 x 2.30753)) (expm1 (log1p (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))))

simplify45.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	353	586
1	1527	478
2	5002	458
done	5002	458

prune275.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	10
1	22	10
done	22	10

end0.0ms

sample368.0ms

Algorithm

intervals

Results

255.0ms

8000×

body

valid