Details

sample41.0ms

Algorithm

intervals

Results

19.0ms

409×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 6 (2.4s)

Iter	Nodes	Cost
0	18	19
1	38	19
2	100	19
3	306	18
4	829	18
5	1810	18
6	4087	16
done	5001	16

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (* 9.0 y) b)
0.3b	(- (/ (fma x (* 9.0 y) b) z) (* a (* 4.0 t)))
3.4b	(/ (fma x (* 9.0 y) b) z)
9.0b	(/ (- (/ (fma x (* 9.0 y) b) z) (* a (* 4.0 t))) c)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`fma-neg` `prod-diff`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `fma-udef`

Counts

4 → 111

Calls

4 calls:

0.0ms	(fma x (* 9.0 y) b)
17.0ms	(- (/ (fma x (* 9.0 y) b) z) (* a (* 4.0 t)))
2.0ms	(/ (fma x (* 9.0 y) b) z)
26.0ms	(/ (- (/ (fma x (* 9.0 y) b) z) (* a (* 4.0 t))) c)

series399.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(fma x (* 9.0 y) b)
161.0ms	(- (/ (fma x (* 9.0 y) b) z) (* a (* 4.0 t)))
62.0ms	(/ (fma x (* 9.0 y) b) z)
144.0ms	(/ (- (/ (fma x (* 9.0 y) b) z) (* a (* 4.0 t))) c)

simplify1.0s

Counts

123 → 123

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	170	2305
1	382	2246
2	1185	2063
done	5000	1986

prune468.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
3.2b	(/ b (* z c))
5.8b	(/ (* t a) c)
7.5b	(/ (* x y) (* z c))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

0.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
3.0ms	(/ b (* z c))
3.0ms	(/ (* t a) c)
5.0ms	(/ (* x y) (* z c))

series158.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
21.0ms	(/ b (* z c))
19.0ms	(/ (* t a) c)
32.0ms	(/ (* x y) (* z c))

simplify760.0ms

Counts

91 → 91

Iterations

Useful iterations: 2 (132.0ms)

Iter	Nodes	Cost
0	148	914
1	350	893
2	1553	735
done	5000	735

prune307.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
3.2b	(/ b (* z c))
4.8b	(* t (/ a c))
7.5b	(/ (* x y) (* z c))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

0.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
3.0ms	(/ b (* z c))
7.0ms	(* t (/ a c))
4.0ms	(/ (* x y) (* z c))

series155.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
20.0ms	(/ b (* z c))
19.0ms	(* t (/ a c))
32.0ms	(/ (* x y) (* z c))

simplify798.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (149.0ms)

Iter	Nodes	Cost
0	168	1005
1	404	974
2	1616	816
done	5000	816

prune350.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (* z c))
3.0b	(* b (/ 1 (* z c)))
4.8b	(* t (/ a c))
7.5b	(/ (* x y) (* z c))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
35×	`add-cbrt-cube`
24×	`add-sqr-sqrt`
20×	`associate-r`
19×	`prod-exp`
17×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`div-exp`
11×	`pow1` `cbrt-unprod`
9×	`cbrt-undiv`
6×	`associate-l`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
3×	`pow-prod-down` `unswap-sqr`
2×	`pow-flip` `frac-2neg` `associate-r/` `clear-num` `associate-/r` `*-commutative`
1×	`un-div-inv` `inv-pow`

Counts

4 → 121

Calls

4 calls:

4.0ms	(/ 1 (* z c))
12.0ms	(* b (/ 1 (* z c)))
7.0ms	(* t (/ a c))
4.0ms	(/ (* x y) (* z c))

series85.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ 1 (* z c))
20.0ms	(* b (/ 1 (* z c)))
25.0ms	(* t (/ a c))
28.0ms	(/ (* x y) (* z c))

simplify946.0ms

Counts

133 → 133

Iterations

Useful iterations: 2 (202.0ms)

Iter	Nodes	Cost
0	192	1145
1	487	1017
2	1799	829
done	5001	829

prune376.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes510.0ms

Accuracy

29% (8.4b remaining)

Error of 8.5b against oracle of 0.2b and baseline of 11.9b

bsearch182.0ms

Steps

Iters	Range		Point
7	2.1267020511745208e-95	9.018552715978189e-94	1.660011137319099e-94
11	-2.0461676949566722e-13	-3.924170551542819e-33	-5.746745343249455e-25

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	36	76
1	49	55
done	49	55

end0.0ms

sample1.1s

Algorithm

intervals

Results

613.0ms

12719×

body

valid