Details

sample26.0ms

Algorithm

intervals

Results

9.0ms

280×

body

valid

simplify93.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	138
9	138
8	137
7	128
6	115
5	90
4	67
3	46
2	27
1	14
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
11.1b	(/ (* x (- y z)) (- t z))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

24.0ms	(* x (- y z))
23.0ms	(/ (* x (- y z)) (- t z))

series140.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* x (- y z))
90.0ms	(/ (* x (- y z)) (- t z))

simplify1.8s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
3	3455
2	808
1	273
0	105

prune253.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- t z))
1.5b	(* x (/ (- y z) (- t z)))

rewrite82.0ms

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-cbrt-cube` `add-exp-log`
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` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 102

Calls

2 calls:

28.0ms	(/ (- y z) (- t z))
49.0ms	(* x (/ (- y z) (- t z)))

series162.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ (- y z) (- t z))
92.0ms	(* x (/ (- y z) (- t z)))

simplify2.3s

Counts

108 → 108

Iterations

Iter	Nodes
done	5036
3	4739
2	1149
1	367
0	138

prune439.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- y z))
1.5b	(/ x (/ (- t z) (- y z)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `add-log-exp` `associate-/l/`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

23.0ms	(/ (- t z) (- y z))
28.0ms	(/ x (/ (- t z) (- y z)))

series263.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(/ (- t z) (- y z))
201.0ms	(/ x (/ (- t z) (- y z)))

simplify1.6s

Counts

200 → 200

Iterations

Iter	Nodes
done	5002
2	2516
1	716
0	270

prune881.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (- y z))
0.0b	(/ t (- y z))
1.5b	(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

174×	`*-un-lft-identity`
156×	`times-frac`
134×	`add-sqr-sqrt`
56×	`distribute-lft-out--`
54×	`add-cube-cbrt`
32×	`difference-of-squares`
28×	`associate-/r*`
24×	`associate-/r/`
12×	`distribute-rgt-out--`
11×	`flip3--` `div-inv` `flip--`
9×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
3×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `add-log-exp`
1×	`frac-sub` `sub-div`

Counts

3 → 165

Calls

3 calls:

14.0ms	(/ z (- y z))
9.0ms	(/ t (- y z))
111.0ms	(/ x (- (/ t (- y z)) (/ z (- y z))))

series229.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ z (- y z))
34.0ms	(/ t (- y z))
143.0ms	(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify1.8s

Counts

174 → 174

Iterations

Iter	Nodes
done	5001
2	1692
1	531
0	264

prune982.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes574.0ms

Accuracy

-1.3% (2.0b remaining)

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

bsearch91.0ms

Steps

Iters	Range		Point
8	1.2580005300776755e-205	1.2660470661446476e-201	4.5513352917512905e-204
8	-3.110970587322126e-187	-1.8392055086647083e-191	-1.5211504248577889e-190

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	18

end0.0ms

sample1.0s

Algorithm

intervals

Results

434.0ms

8704×

body

valid