Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	250×	body	80	valid
2.0ms	13×	body	640	valid
1.0ms	10×	body	1280	valid
1.0ms	8×	body	320	valid
0.0ms	7×	body	160	valid

simplify7.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (12.0ms)

Iter	Nodes	Cost
0	11	13
1	20	13
2	45	13
3	114	12
4	278	12
5	618	12
6	1260	12
7	2332	12
8	4233	12
done	5001	12

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.5b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite14.0ms

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:

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

series160.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (- y z) (- a z))
114.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify2.0s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	116	918
1	266	890
2	623	838
3	1565	834
4	4615	828
done	5000	828

prune215.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- y z) (/ 1 (- a z)))
4.0b	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

rewrite33.0ms

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:

5.0ms	(/ 1 (- a z))
24.0ms	(* (- y z) (/ 1 (- a z)))
0.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

series200.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1 (- a z))
47.0ms	(* (- y z) (/ 1 (- a z)))
115.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

simplify2.6s

Counts

114 → 114

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	152	1285
1	341	1096
2	1014	948
3	3164	944
done	5000	943

prune277.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
0.5b	(* (cbrt (- y z)) (cbrt (- y z)))
6.9b	(fma (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))) (- t x) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod`
34×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
16×	`cbrt-div`
14×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
8×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
6×	`add-exp-log` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 102

Calls

4 calls:

2.0ms	(cbrt (- y z))
2.0ms	(cbrt (- y z))
20.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
0.0ms	(fma (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))) (- t x) x)

series569.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt (- y z))
153.0ms	(cbrt (- y z))
136.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
119.0ms	(fma (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))) (- t x) x)

simplify1.2s

Counts

114 → 114

Iterations

Useful iterations: 3 (494.0ms)

Iter	Nodes	Cost
0	159	1575
1	320	1479
2	816	1283
3	2306	1157
done	5001	1157

prune404.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 3.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
7.4b	(fma (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- y z) (cbrt (- a z)))) (- t x) x)

rewrite8.0ms

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:

2.0ms	(cbrt (- a z))
2.0ms	(cbrt (- a z))
2.0ms	(cbrt (- a z))
0.0ms	(fma (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- y z) (cbrt (- a z)))) (- t x) x)

series794.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt (- a z))
356.0ms	(cbrt (- a z))
153.0ms	(cbrt (- a z))
132.0ms	(fma (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- y z) (cbrt (- a z)))) (- t x) x)

simplify927.0ms

Counts

73 → 73

Iterations

Useful iterations: done (925.0ms)

Iter	Nodes	Cost
0	97	951
1	205	933
2	469	837
3	1364	676
done	5001	666

prune279.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 3.4b

regimes325.0ms

Accuracy

42.2% (4.7b remaining)

Error of 8.5b against oracle of 3.8b and baseline of 11.9b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	24	69
1	33	56
done	33	56

end0.0ms

sample699.0ms

Algorithm

intervals

Results

260.0ms	7780×	body	80	valid
61.0ms	490×	body	640	valid
41.0ms	277×	body	1280	valid
39.0ms	424×	body	320	valid
15.0ms	252×	body	160	valid
5.0ms	26×	body	2560	valid