Details

sample38.0ms

Algorithm

intervals

Results

15.0ms

268×

body

valid

simplify87.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	16
1	102	16
2	292	16
3	803	16
4	2143	16
5	3616	16
6	4166	16
7	5002	16
done	5002	16

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ y a) y) b) y)
29.3b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

46.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
24.0ms	(* (+ (* x y) z) y)
39.0ms	(* (+ (* (+ y a) y) b) y)
114.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series483.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
39.0ms	(* (+ (* x y) z) y)
35.0ms	(* (+ (* (+ y a) y) b) y)
354.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify64.0ms

Counts

111 → 111

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	534	1179
1	2148	1042
2	5003	1024
done	5003	1024

prune575.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 29.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
0.1b	(* (+ (* (+ y a) y) b) y)
29.3b	(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

64.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
1.0ms	(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
38.0ms	(* (+ (* (+ y a) y) b) y)
46.0ms	(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series510.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
56.0ms	(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
40.0ms	(* (+ (* (+ y a) y) b) y)
341.0ms	(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify51.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	399	954
1	1509	865
2	5001	854
done	5001	854

prune491.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 29.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
0.1b	(* (+ (* (+ y a) y) b) y)
0.2b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))
29.4b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log`
16×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`rec-exp` `frac-2neg` `flip3-+` `1-exp` `associate-*l/` `clear-num` `flip-+` `associate-/l/`
1×	`pow-flip` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `fma-udef` `inv-pow` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

0.0ms	(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
38.0ms	(* (+ (* (+ y a) y) b) y)
35.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))
66.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))

series1.1s

Counts

4 → 12

Calls

4 calls:

56.0ms	(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
41.0ms	(* (+ (* (+ y a) y) b) y)
463.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))
518.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))

simplify74.0ms

Counts

153 → 153

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	540	2509
1	2383	2248
2	5001	2142
done	5001	2142

prune591.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 29.1b

localize27.0ms

Local error

Found 4 expressions with local error:

21.0b	(cbrt (* (+ (* x y) z) y))
21.0b	(cbrt (* (+ (* x y) z) y))
21.0b	(cbrt (* (+ (* x y) z) y))
29.3b	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite363.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

9.0ms	(cbrt (* (+ (* x y) z) y))
9.0ms	(cbrt (* (+ (* x y) z) y))
9.0ms	(cbrt (* (+ (* x y) z) y))
334.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series829.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (* (+ (* x y) z) y))
130.0ms	(cbrt (* (+ (* x y) z) y))
131.0ms	(cbrt (* (+ (* x y) z) y))
432.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify47.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	416	1716
1	1284	1557
2	5001	1500
done	5001	1500

prune517.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 29.1b

regimes451.0ms

Accuracy

0% (1.3b remaining)

Error of 29.0b against oracle of 27.7b and baseline of 29.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	13
1	33	13
done	33	13

end0.0ms

sample977.0ms

Algorithm

intervals

Results

503.0ms

8269×

body

valid