Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

277×

body

valid

simplify991.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	62	10
4	104	10
5	148	10
6	190	10
7	217	10
8	251	10
9	300	10
10	416	10
11	605	10
12	651	10
13	672	10
14	674	10
done	674	10

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.9b	(fma (/ (- y z) (- a z)) t x)

rewrite21.0ms

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:

17.0ms	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) t x)

series141.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ (- y z) (- a z))
83.0ms	(fma (/ (- y z) (- a z)) t x)

simplify2.1s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	113	884
1	259	856
2	599	808
3	1462	808
4	4019	806
done	5000	806

prune220.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.2b	(/ 1 (/ (- a z) (- y z)))
1.9b	(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

12.0ms	(/ (- a z) (- y z))
15.0ms	(/ 1 (/ (- a z) (- y z)))
0.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

series411.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- a z) (- y z))
151.0ms	(/ 1 (/ (- a z) (- y z)))
206.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify2.4s

Counts

223 → 223

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	270	3746
1	623	3234
2	1385	2915
3	3861	2837
done	5000	2834

prune471.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (/ 1 (- a z)) (- y z))
1.9b	(fma (* (/ 1 (- a z)) (- y z)) t x)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
35×	`add-cube-cbrt`
32×	`times-frac`
21×	`associate-l`
18×	`prod-diff`
16×	`add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-r` `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` `sub-neg` `rec-exp` `1-exp` `associate-*r/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 126

Calls

3 calls:

6.0ms	(/ 1 (- a z))
31.0ms	(* (/ 1 (- a z)) (- y z))
0.0ms	(fma (* (/ 1 (- a z)) (- y z)) t x)

series398.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ 1 (- a z))
152.0ms	(* (/ 1 (- a z)) (- y z))
207.0ms	(fma (* (/ 1 (- a z)) (- y z)) t x)

simplify2.4s

Counts

135 → 135

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	208	1929
1	485	1550
2	1226	1284
3	3897	1240
done	5000	1239

prune328.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
1.9b	(fma (/ 1 (* (/ (/ (cbrt (- a z)) (/ (cbrt (- y z)) (cbrt (- a z)))) (cbrt (- y z))) (/ (cbrt (- a z)) (cbrt (- y z))))) t x)

rewrite9.0ms

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 (- y z))
2.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
0.0ms	(fma (/ 1 (* (/ (/ (cbrt (- a z)) (/ (cbrt (- y z)) (cbrt (- a z)))) (cbrt (- y z))) (/ (cbrt (- a z)) (cbrt (- y z))))) t x)

series737.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt (- y z))
171.0ms	(cbrt (- y z))
177.0ms	(cbrt (- y z))
211.0ms	(fma (/ 1 (* (/ (/ (cbrt (- a z)) (/ (cbrt (- y z)) (cbrt (- a z)))) (cbrt (- y z))) (/ (cbrt (- a z)) (cbrt (- y z))))) t x)

simplify2.3s

Counts

73 → 73

Iterations

Useful iterations: 4 (967.0ms)

Iter	Nodes	Cost
0	98	1058
1	199	1040
2	434	936
3	1115	888
4	4203	731
done	5000	731

prune347.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes252.0ms

Accuracy

80.3% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.3b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	18	55
1	23	46
done	23	46

end0.0ms

sample564.0ms

Algorithm

intervals

Results

289.0ms	8736×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid