Details

sample51.0ms

Algorithm

intervals

Results

16.0ms	257×	body	80	valid
3.0ms	12×	body	640	valid
2.0ms	13×	body	320	valid
2.0ms	8×	body	1280	valid
0.0ms	4×	body	160	valid
0.0ms	1×	body	2560	valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (22.0ms)

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: 9.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.1b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite44.0ms

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:

40.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series213.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ (- y z) (- a z))
155.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify2.0s

Counts

70 → 70

Iterations

Useful iterations: 3 (734.0ms)

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

prune207.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.2b

localize16.0ms

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)

rewrite98.0ms

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:

14.0ms	(/ 1 (- a z))
80.0ms	(* (- y z) (/ 1 (- a z)))
1.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

series296.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ 1 (- a z))
66.0ms	(* (- y z) (/ 1 (- a z)))
186.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

simplify4.8s

Counts

114 → 114

Iterations

Useful iterations: done (4.8s)

Iter	Nodes	Cost
0	152	1285
1	363	1135
2	2806	954
done	5000	948

prune281.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
5.7b	(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) (- t x) x)

rewrite25.0ms

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:

7.0ms	(cbrt (- y z))
7.0ms	(cbrt (- y z))
7.0ms	(cbrt (- y z))
1.0ms	(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) (- t x) x)

series758.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt (- y z))
221.0ms	(cbrt (- y z))
187.0ms	(cbrt (- y z))
172.0ms	(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) (- t x) x)

simplify964.0ms

Counts

73 → 73

Iterations

Useful iterations: done (962.0ms)

Iter	Nodes	Cost
0	96	925
1	198	907
2	514	749
3	1790	676
done	5001	638

prune355.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 4.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 (- a z)))
0.6b	(cbrt (/ 1 (- a z)))
0.6b	(cbrt (/ 1 (- a z)))
6.9b	(fma (* (* (- y z) (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z))))) (cbrt (/ 1 (- a z)))) (- t x) x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
49×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
31×	`add-cube-cbrt`
9×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `flip--` `div-inv`
1×	`fma-udef`

Counts

4 → 106

Calls

4 calls:

12.0ms	(cbrt (/ 1 (- a z)))
11.0ms	(cbrt (/ 1 (- a z)))
7.0ms	(cbrt (/ 1 (- a z)))
0.0ms	(fma (* (* (- y z) (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z))))) (cbrt (/ 1 (- a z)))) (- t x) x)

series863.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(cbrt (/ 1 (- a z)))
230.0ms	(cbrt (/ 1 (- a z)))
223.0ms	(cbrt (/ 1 (- a z)))
178.0ms	(fma (* (* (- y z) (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z))))) (cbrt (/ 1 (- a z)))) (- t x) x)

simplify1.3s

Counts

118 → 118

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	144	1837
1	261	1654
2	633	1425
3	2301	1361
done	5002	1329

prune459.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 4.2b

regimes462.0ms

Accuracy

37.9% (5.0b remaining)

Error of 8.6b against oracle of 3.7b and baseline of 11.6b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	26	71
1	36	58
done	36	58

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.2s	7788×	body	80	valid
165.0ms	515×	body	640	valid
78.0ms	269×	body	1280	valid
70.0ms	390×	body	320	valid
30.0ms	243×	body	160	valid
9.0ms	24×	body	2560	valid