Details

sample43.0ms

Algorithm

intervals

Results

16.0ms	237×	body	80	valid
3.0ms	19×	body	640	valid
3.0ms	13×	body	1280	valid
2.0ms	17×	body	320	valid
1.0ms	9×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 3 (16.0ms)

Iter	Nodes	Cost
0	11	13
1	20	13
2	45	13
3	116	12
4	326	12
5	1014	12
6	4061	12
done	5000	12

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
4.1b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite39.0ms

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:

36.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series241.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ (- y z) (- a z))
183.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify2.3s

Counts

70 → 70

Iterations

Useful iterations: 3 (815.0ms)

Iter	Nodes	Cost
0	116	918
1	271	890
2	855	840
3	4496	834
done	5000	834

prune326.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.9b

localize23.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- y z) (/ 1 (- a z)))
4.8b	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`-un-lft-identity` `associate-r*`
17×	`times-frac`
12×	`add-cube-cbrt`
11×	`add-exp-log`
7×	`add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `prod-exp` `distribute-lft-out--` `difference-of-squares`
3×	`flip3--` `flip--` `unswap-sqr`
2×	`expm1-log1p-u` `frac-times` `div-exp` `associate-*l/` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `fma-udef` `div-inv`

Counts

2 → 62

Calls

2 calls:

77.0ms	(* (- y z) (/ 1 (- a z)))
1.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

series259.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* (- y z) (/ 1 (- a z)))
191.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

simplify6.9s

Counts

68 → 68

Iterations

Useful iterations: done (6.9s)

Iter	Nodes	Cost
0	134	880
1	333	795
2	2615	634
done	5000	628

prune307.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
11.6b	(fma (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (sqrt 1) (cbrt (- a z)))) (- t x) x)

rewrite15.0ms

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)))) (/ (sqrt 1) (cbrt (- a z)))) (- t x) x)

series864.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt (- a z))
239.0ms	(cbrt (- a z))
195.0ms	(cbrt (- a z))
212.0ms	(fma (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (sqrt 1) (cbrt (- a z)))) (- t x) x)

simplify1.3s

Counts

73 → 73

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	98	964
1	206	933
2	542	837
3	2130	797
done	5000	638

prune425.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.9b

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (fma (/ (- y z) (- a z)) (- t x) x))
4.1b	(fma (/ (- y z) (- a z)) (- t x) x)
4.1b	(fma (/ (- y z) (- a z)) (- t x) x)
4.1b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

2.0ms	(cbrt (fma (/ (- y z) (- a z)) (- t x) x))
1.0ms	(fma (/ (- y z) (- a z)) (- t x) x)
1.0ms	(fma (/ (- y z) (- a z)) (- t x) x)
1.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series8.4s

Counts

4 → 12

Calls

4 calls:

7.9s	(cbrt (fma (/ (- y z) (- a z)) (- t x) x))
202.0ms	(fma (/ (- y z) (- a z)) (- t x) x)
169.0ms	(fma (/ (- y z) (- a z)) (- t x) x)
172.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify896.0ms

Counts

55 → 55

Iterations

Useful iterations: done (894.0ms)

Iter	Nodes	Cost
0	63	875
1	126	870
2	303	769
3	1351	751
done	5001	739

prune306.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 4.9b

regimes553.0ms

Accuracy

43.2% (4.6b remaining)

Error of 8.3b against oracle of 3.7b and baseline of 11.9b

bsearch3.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	25	70
1	33	57
done	33	57

end0.0ms

sample1.8s

Algorithm

intervals

Results

706.0ms	7776×	body	80	valid
147.0ms	492×	body	640	valid
106.0ms	282×	body	160	valid
77.0ms	260×	body	1280	valid
70.0ms	416×	body	320	valid
7.0ms	15×	body	2560	valid