Details

sample47.0ms

Algorithm

intervals

Results

16.0ms

283×

body

valid

simplify182.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	166
11	166
10	164
9	158
8	151
7	139
6	122
5	101
4	71
3	49
2	25
1	17
0	8

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

28.0ms	(/ (- x y) (- z y))
38.0ms	(* (/ (- x y) (- z y)) t)

series221.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(/ (- x y) (- z y))
132.0ms	(* (/ (- x y) (- z y)) t)

simplify664.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1456
1	372
0	143

prune498.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z y))
0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`cbrt-div` `add-cube-cbrt`
4×	`pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

14.0ms	(cbrt (- z y))
6.0ms	(cbrt (- x y))
6.0ms	(cbrt (- x y))
7.0ms	(cbrt (- x y))

series771.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt (- z y))
198.0ms	(cbrt (- x y))
191.0ms	(cbrt (- x y))
206.0ms	(cbrt (- x y))

simplify803.0ms

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
3	1911
2	583
1	231
0	114

prune611.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite367.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 111

Calls

3 calls:

9.0ms	(/ y (- z y))
9.0ms	(/ x (- z y))
345.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

series337.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ y (- z y))
50.0ms	(/ x (- z y))
236.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify629.0ms

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	1226
1	371
0	174

prune723.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- z y))
10.2b	(* (- x y) (/ t (- z y)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 83

Calls

2 calls:

16.0ms	(/ t (- z y))
46.0ms	(* (- x y) (/ t (- z y)))

series134.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ t (- z y))
97.0ms	(* (- x y) (/ t (- z y)))

simplify982.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	1674
1	317
0	130

prune480.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes389.0ms

Accuracy

1.1% (2.2b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch77.0ms

Steps

Iters	Range		Point
9	5.435878667646499e-106	5.166766956205729e-97	1.7555968102761535e-97
7	4.592847068933146e-224	3.961515632005351e-222	5.259516187712176e-223

simplify2.0ms

Iterations

Iter	Nodes
done	23
1	23
0	18

end0.0ms

sample1.4s

Algorithm

intervals

Results

782.0ms

8702×

body

valid