Details

sample51.0ms

Algorithm

intervals

Results

23.0ms

355×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	27	11
2	78	11
3	176	11
4	283	11
5	415	11
6	549	11
7	803	11
8	2048	11
done	5001	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* z z) (+ z 1.0))
12.9b	(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

41.0ms	(* (* z z) (+ z 1.0))
29.0ms	(/ (* x y) (* (* z z) (+ z 1.0)))

series166.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(* (* z z) (+ z 1.0))
87.0ms	(/ (* x y) (* (* z z) (+ z 1.0)))

simplify3.3s

Counts

61 → 61

Iterations

Useful iterations: 2 (615.0ms)

Iter	Nodes	Cost
0	116	898
1	401	844
2	3767	671
done	5000	671

prune121.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (/ (* x y) (pow z 2)) (+ z 1.0))
12.8b	(/ (* x y) (pow z 2))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

96×	`times-frac`
60×	`*-un-lft-identity`
36×	`add-exp-log`
34×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`unpow-prod-down`
19×	`div-exp`
16×	`add-cbrt-cube`
13×	`distribute-lft-out` `associate-/l*`
12×	`associate-/r*`
7×	`cbrt-undiv` `div-inv` `unpow2` `sqr-pow`
6×	`prod-exp`
4×	`pow-to-exp` `pow-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`flip3-+` `flip-+` `associate-/l/`

Counts

2 → 126

Calls

2 calls:

44.0ms	(/ (/ (* x y) (pow z 2)) (+ z 1.0))
17.0ms	(/ (* x y) (pow z 2))

series150.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(/ (/ (* x y) (pow z 2)) (+ z 1.0))
52.0ms	(/ (* x y) (pow z 2))

simplify1.5s

Counts

132 → 132

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	213	2111
1	579	1948
2	2968	1747
done	5000	1733

prune310.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (* (/ x (fabs z)) (/ y (fabs z))) (+ z 1.0))
3.9b	(* (/ x (fabs z)) (/ y (fabs z)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
30×	`add-sqr-sqrt`
26×	`times-frac`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt`
13×	`cbrt-undiv` `div-exp` `associate-r` `associate-l`
8×	`prod-exp` `cbrt-unprod`
4×	`pow1` `associate-/r*` `unswap-sqr`
3×	`div-inv` `associate-/l/`
2×	`expm1-log1p-u` `frac-times` `associate-r/` `associate-l/` `associate-/r/` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
1×	`frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `-commutative` `flip-+` `associate-/l`

Counts

2 → 88

Calls

2 calls:

42.0ms	(/ (* (/ x (fabs z)) (/ y (fabs z))) (+ z 1.0))
39.0ms	(* (/ x (fabs z)) (/ y (fabs z)))

series175.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(/ (* (/ x (fabs z)) (/ y (fabs z))) (+ z 1.0))
63.0ms	(* (/ x (fabs z)) (/ y (fabs z)))

simplify2.2s

Counts

94 → 94

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	183	1506
1	580	1455
2	4120	1245
done	5000	1244

prune280.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (* (* (/ x (fabs z)) y) (/ 1 (fabs z))) (+ z 1.0))
1.4b	(* (* (/ x (fabs z)) y) (/ 1 (fabs z)))
3.7b	(* (/ x (fabs z)) y)

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-exp-log`
58×	`add-cbrt-cube`
42×	`prod-exp`
34×	`div-exp`
25×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
23×	`times-frac`
22×	`cbrt-unprod`
20×	`add-cube-cbrt`
18×	`cbrt-undiv`
16×	`associate-r`
14×	`associate-l`
10×	`pow1`
7×	`associate-*l/`
6×	`rec-exp` `1-exp`
4×	`pow-prod-down` `associate-/r*` `associate-/l/`
3×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-times` `associate-r/` `associate-/r/` `un-div-inv` `-commutative` `distribute-lft-out` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l*`

Counts

3 → 129

Calls

3 calls:

67.0ms	(/ (* (* (/ x (fabs z)) y) (/ 1 (fabs z))) (+ z 1.0))
42.0ms	(* (* (/ x (fabs z)) y) (/ 1 (fabs z)))
15.0ms	(* (/ x (fabs z)) y)

series221.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(/ (* (* (/ x (fabs z)) y) (/ 1 (fabs z))) (+ z 1.0))
67.0ms	(* (* (/ x (fabs z)) y) (/ 1 (fabs z)))
45.0ms	(* (/ x (fabs z)) y)

simplify444.0ms

Counts

138 → 138

Iterations

Useful iterations: done (439.0ms)

Iter	Nodes	Cost
0	228	2225
1	714	2064
done	5001	1530

prune349.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes239.0ms

Accuracy

89.2% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.3b

bsearch2.0ms

simplify3.0s

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	26	85
1	32	73
2	35	63
3	41	51
4	44	50
5	50	50
6	63	50
7	79	50
8	99	50
9	152	50
10	205	50
11	393	50
12	581	50
13	1309	50
14	2037	50
15	4925	50
done	5002	50

end0.0ms

sample1.4s

Algorithm

intervals

Results

917.0ms

10806×

body

valid