Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	252×	body	80	valid
2.0ms	14×	body	640	valid
1.0ms	8×	body	1280	valid
1.0ms	14×	body	320	valid
1.0ms	10×	body	160	valid

simplify92.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	20	6
1	45	6
2	116	5
3	324	5
4	861	5
5	1912	5
6	4581	5
7	5001	5
done	5001	5

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
3.5b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

24.0ms	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series184.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- y z) (- a z))
132.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify70.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	265	450
1	729	425
2	2562	423
3	5002	421
done	5002	421

prune220.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- y z) (/ 1 (- a z)))
5.2b	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 105

Calls

3 calls:

12.0ms	(/ 1 (- a z))
47.0ms	(* (- y z) (/ 1 (- a z)))
0.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

series227.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1 (- a z))
58.0ms	(* (- y z) (/ 1 (- a z)))
131.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

simplify49.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	340	602
1	1472	525
2	5002	481
done	5002	481

prune290.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
3.5b	(fma (* 1 (/ (- y z) (- a z))) (- t x) x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

24.0ms	(/ (- y z) (- a z))
0.0ms	(fma (* 1 (/ (- y z) (- a z))) (- t x) x)

series191.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- y z) (- a z))
137.0ms	(fma (* 1 (/ (- y z) (- a z))) (- t x) x)

simplify74.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	269	462
1	794	434
2	2997	432
3	5001	430
done	5001	430

prune217.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
9.1b	(fma (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (cbrt 1) (cbrt (- a z)))) (- t x) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

4.0ms	(cbrt (- a z))
4.0ms	(cbrt (- a z))
4.0ms	(cbrt (- a z))
0.0ms	(fma (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (cbrt 1) (cbrt (- a z)))) (- t x) x)

series648.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (- a z))
166.0ms	(cbrt (- a z))
171.0ms	(cbrt (- a z))
135.0ms	(fma (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (cbrt 1) (cbrt (- a z)))) (- t x) x)

simplify59.0ms

Counts

73 → 73

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	203	545
1	485	501
2	1615	490
3	5001	467
done	5001	467

prune329.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 4.0b

regimes383.0ms

Accuracy

24.7% (6.2b remaining)

Error of 9.9b against oracle of 3.6b and baseline of 11.9b

bsearch85.0ms

Steps

Iters	Range		Point
8	6.811517702932233e+229	3.7457077801543817e+233	3.6212987406493826e+230
7	-6.971737378085331e+159	-1.6647426423138952e+158	-2.6532714166953784e+159

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	10
1	30	10
2	30	10
done	30	10

end0.0ms

sample792.0ms

Algorithm

intervals

Results

249.0ms	7817×	body	80	valid
57.0ms	470×	body	640	valid
39.0ms	286×	body	1280	valid
36.0ms	432×	body	320	valid
15.0ms	275×	body	160	valid
2.0ms	15×	body	2560	valid