Details

sample34.0ms

Algorithm

intervals

Results

13.0ms

280×

body

valid

simplify440.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	19	11
2	38	11
3	52	11
4	80	11
5	108	11
6	205	11
7	631	11
done	5000	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
10.8b	(/ (- x (* y z)) (- t (* a z)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
4×	`flip3--` `flip--`
3×	`pow1` `associate-/r` `associate-/l`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

3 → 56

Calls

3 calls:

5.0ms	(- t (* a z))
5.0ms	(- x (* y z))
33.0ms	(/ (- x (* y z)) (- t (* a z)))

series156.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- t (* a z))
46.0ms	(- x (* y z))
77.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify659.0ms

Counts

65 → 65

Iterations

Useful iterations: done (657.0ms)

Iter	Nodes	Cost
0	96	852
1	258	829
2	1011	767
done	5000	765

prune217.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.8b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
10.8b	(/ (- x (* y z)) (- t (* a z)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
4×	`flip3--` `flip--`
3×	`pow1` `associate-/r` `associate-/l`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

3 → 56

Calls

3 calls:

8.0ms	(- t (* a z))
8.0ms	(- x (* y z))
29.0ms	(/ (- x (* y z)) (- t (* a z)))

series162.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- t (* a z))
41.0ms	(- x (* y z))
80.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify650.0ms

Counts

65 → 65

Iterations

Useful iterations: done (647.0ms)

Iter	Nodes	Cost
0	96	852
1	258	829
2	1011	767
done	5000	765

prune249.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 10.8b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
3.9b	(/ x (- t (* a z)))
10.4b	(/ (* y z) (- t (* a z)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/` `add-log-exp`
6×	`flip3--` `associate-/r*` `flip--`
4×	`pow1` `div-inv` `associate-/l*`
3×	`cbrt-undiv` `distribute-rgt-out--` `div-exp`
2×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `difference-of-squares`
1×	`prod-exp` `frac-sub` `cbrt-unprod` `distribute-lft-out--` `sub-div`

Counts

4 → 84

Calls

4 calls:

8.0ms	(- t (* a z))
79.0ms	(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
9.0ms	(/ x (- t (* a z)))
19.0ms	(/ (* y z) (- t (* a z)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- t (* a z))
136.0ms	(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
60.0ms	(/ x (- t (* a z)))
74.0ms	(/ (* y z) (- t (* a z)))

simplify854.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (177.0ms)

Iter	Nodes	Cost
0	139	1367
1	347	1303
2	1424	1203
done	5000	1203

prune288.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
2.7b	(/ y (/ (- t (* a z)) z))
3.9b	(/ x (- t (* a z)))
7.6b	(/ (- t (* a z)) z)

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

104×	`times-frac`
83×	`add-sqr-sqrt`
68×	`*-un-lft-identity`
62×	`add-cube-cbrt`
19×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
7×	`div-inv`
6×	`add-log-exp` `difference-of-squares`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
2×	`associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `div-sub` `frac-sub`

Counts

4 → 150

Calls

4 calls:

119.0ms	(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
21.0ms	(/ y (/ (- t (* a z)) z))
10.0ms	(/ x (- t (* a z)))
14.0ms	(/ (- t (* a z)) z)

series296.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
56.0ms	(/ y (/ (- t (* a z)) z))
54.0ms	(/ x (- t (* a z)))
44.0ms	(/ (- t (* a z)) z)

simplify1.1s

Counts

162 → 162

Iterations

Useful iterations: 2 (423.0ms)

Iter	Nodes	Cost
0	250	2752
1	640	2636
2	2873	2496
done	5001	2496

prune542.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.4b

regimes206.0ms

Accuracy

64.6% (0.6b remaining)

Error of 1.9b against oracle of 1.4b and baseline of 3.0b

bsearch90.0ms

Steps

Iters	Range		Point
6	5.2092536384309684e-132	4.3257429736328996e-131	2.974028994343512e-131
10	-2.0474075414845397e-138	-1.0360800492222542e-153	-2.6415097825266013e-139

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	26	67
1	36	43
2	39	43
done	39	43

end0.0ms

sample1.3s

Algorithm

intervals

Results

790.0ms

8655×

body

valid