Details

sample101.0ms

Algorithm

intervals

Results

49.0ms	382×	body	80	valid
11.0ms	134×	body	80	nan

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	12	15
1	24	15
2	53	13
3	107	12
4	254	12
5	735	12
6	2729	12
done	5001	12

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(* a (pow k m))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
1.9b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

13.0ms	(* a (pow k m))
29.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
35.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series264.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(* a (pow k m))
21.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
144.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify1.1s

Counts

81 → 81

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	161	1204
1	413	1041
2	1436	877
done	5000	828

prune377.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* k (+ 10.0 k)))
0.0b	(* k (+ 10.0 k))
0.0b	(* a (pow k m))
1.9b	(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
19×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`add-cbrt-cube`
12×	`add-cube-cbrt`
11×	`associate-r`
7×	`prod-exp`
6×	`pow1` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `div-exp` `log1p-expm1-u` `unswap-sqr`
3×	`fma-def` `flip3-+` `times-frac` `associate-/r*` `cbrt-unprod` `flip-+`
2×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `associate-+r+` `distribute-lft-in` `associate-r/` `pow-exp` `associate-/r/` `-commutative` `sqr-pow`
1×	`+-commutative` `frac-2neg` `pow-prod-down` `clear-num` `sum-log` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 97

Calls

4 calls:

7.0ms	(+ 1.0 (* k (+ 10.0 k)))
43.0ms	(* k (+ 10.0 k))
13.0ms	(* a (pow k m))
17.0ms	(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

series387.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ 1.0 (* k (+ 10.0 k)))
81.0ms	(* k (+ 10.0 k))
92.0ms	(* a (pow k m))
178.0ms	(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

simplify1.2s

Counts

109 → 109

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	189	1285
1	486	1207
2	1651	1046
done	5000	1012

prune459.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (pow k m) (fma k (+ 10.0 k) 1.0))
1.7b	(* a (/ (pow k m) (fma k (+ 10.0 k) 1.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
43×	`add-sqr-sqrt`
33×	`add-cube-cbrt` `*-un-lft-identity`
25×	`associate-r`
22×	`unpow-prod-down`
17×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`sqr-pow`
7×	`associate-/l*`
6×	`div-exp`
4×	`pow1` `prod-exp` `unswap-sqr`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `pow-to-exp` `pow-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 97

Calls

2 calls:

9.0ms	(/ (pow k m) (fma k (+ 10.0 k) 1.0))
23.0ms	(* a (/ (pow k m) (fma k (+ 10.0 k) 1.0)))

series278.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(/ (pow k m) (fma k (+ 10.0 k) 1.0))
178.0ms	(* a (/ (pow k m) (fma k (+ 10.0 k) 1.0)))

simplify1.1s

Counts

103 → 103

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	203	1926
1	459	1840
2	1364	1728
done	5000	1676

prune485.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.1b	(fma a (* (log k) m) a)
0.2b	(* (log k) m)
4.9b	(/ (fma a (* (log k) m) a) (+ 1.0 (* k (+ 10.0 k))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

20.0ms	(* k (+ 10.0 k))
0.0ms	(fma a (* (log k) m) a)
8.0ms	(* (log k) m)
12.0ms	(/ (fma a (* (log k) m) a) (+ 1.0 (* k (+ 10.0 k))))

series478.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* k (+ 10.0 k))
151.0ms	(fma a (* (log k) m) a)
131.0ms	(* (log k) m)
122.0ms	(/ (fma a (* (log k) m) a) (+ 1.0 (* k (+ 10.0 k))))

simplify1.5s

Counts

99 → 99

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	183	1350
1	440	1300
2	1511	1161
done	5001	1145

prune435.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes86.0ms

Accuracy

98.6% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.1b

bsearch34.0ms

Steps

Iters	Range		Point
4	9.311977249963738e+138	1.729492856330419e+139	1.2997006801145836e+139

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	29	52
1	35	48
done	35	48

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.7s	11833×	body	80	valid
356.0ms	4168×	body	80	nan