Details

sample37.0ms

Algorithm

intervals

Results

16.0ms

284×

body

valid

simplify210.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	29	9
3	54	9
4	81	9
5	109	9
6	129	9
7	139	9
8	150	9
9	154	9
10	160	9
11	162	9
done	162	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
12.7b	(/ (* x (- y z)) (- t z))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-r` `associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

31.0ms	(* x (- y z))
33.0ms	(/ (* x (- y z)) (- t z))

series143.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* x (- y z))
103.0ms	(/ (* x (- y z)) (- t z))

simplify677.0ms

Counts

61 → 61

Iterations

Useful iterations: done (675.0ms)

Iter	Nodes	Cost
0	105	599
1	280	575
2	1110	509
done	5001	501

prune165.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- t z))
2.2b	(* x (/ (- y z) (- t z)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

25.0ms	(/ (- y z) (- t z))
65.0ms	(* x (/ (- y z) (- t z)))

series169.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(/ (- y z) (- t z))
96.0ms	(* x (/ (- y z) (- t z)))

simplify773.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (228.0ms)

Iter	Nodes	Cost
0	138	1319
1	374	1259
2	1521	1169
done	5000	1169

prune266.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y (- t z)) (/ z (- t z)))
0.0b	(/ z (- t z))
0.0b	(/ y (- t z))
2.2b	(* x (- (/ y (- t z)) (/ z (- t z))))

rewrite448.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
66×	`times-frac`
32×	`distribute-lft-out--`
30×	`add-cube-cbrt`
20×	`difference-of-squares`
18×	`associate-r`
12×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow1` `distribute-rgt-out--` `div-inv` `associate-/l*` `add-log-exp`
4×	`associate-*r/`
3×	`sub-neg` `associate-l`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `frac-sub` `sub-div`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

119.0ms	(- (/ y (- t z)) (/ z (- t z)))
18.0ms	(/ z (- t z))
17.0ms	(/ y (- t z))
285.0ms	(* x (- (/ y (- t z)) (/ z (- t z))))

series314.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- (/ y (- t z)) (/ z (- t z)))
60.0ms	(/ z (- t z))
44.0ms	(/ y (- t z))
125.0ms	(* x (- (/ y (- t z)) (/ z (- t z))))

simplify802.0ms

Counts

156 → 156

Iterations

Useful iterations: 2 (248.0ms)

Iter	Nodes	Cost
0	196	1863
1	476	1777
2	1545	1671
done	5001	1671

prune422.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- t z))
0.0b	(/ y (- t z))
1.9b	(* x (- (/ z (- t z))))
5.5b	(* x (/ y (- t z)))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
88×	`*-un-lft-identity`
76×	`times-frac`
67×	`associate-r`
54×	`add-cube-cbrt`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
17×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*` `associate-/r/`
8×	`pow1`
6×	`associate-l` `associate-/l*`
5×	`flip3--` `flip--` `div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`
1×	`neg-mul-1` `distribute-rgt-neg-out` `distribute-neg-frac`

Counts

4 → 177

Calls

4 calls:

16.0ms	(/ z (- t z))
19.0ms	(/ y (- t z))
82.0ms	(* x (- (/ z (- t z))))
43.0ms	(* x (/ y (- t z)))

series248.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ z (- t z))
52.0ms	(/ y (- t z))
56.0ms	(* x (- (/ z (- t z))))
79.0ms	(* x (/ y (- t z)))

simplify1.1s

Counts

189 → 189

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	226	1814
1	586	1714
2	2264	1602
done	5000	1593

prune527.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes121.0ms

Accuracy

4% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.0b

bsearch63.0ms

Steps

Iters	Range		Point
8	4.181993343258649e+44	1.4674481944638023e+49	7.960727031889957e+46
7	-6.645332639051926e+37	-6.618660919492046e+35	-1.0855731690333596e+36

simplify6.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	20	42
1	31	34
2	35	34
3	36	34
done	36	34

end0.0ms

sample1.3s

Algorithm

intervals

Results

379.0ms

8725×

body

valid