Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

277×

body

valid

simplify793.0ms

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	252	10
9	303	10
10	419	10
11	608	10
12	659	10
13	669	10
14	670	10
done	670	10

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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)

series130.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- y z) (- a z))
78.0ms	(fma (/ (- y z) (- a z)) t x)

simplify894.0ms

Counts

70 → 70

Iterations

Useful iterations: done (893.0ms)

Iter	Nodes	Cost
0	113	884
1	259	856
2	617	808
3	1814	808
done	5000	806

prune185.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)

rewrite41.0ms

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)

series374.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (- a z) (- y z))
134.0ms	(/ 1 (/ (- a z) (- y z)))
190.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify2.0s

Counts

223 → 223

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	270	3746
1	623	3234
2	1586	2915
3	4425	2837
done	5000	2834

prune392.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

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:

6.0ms	(/ 1 (- a z))
24.0ms	(* (- y z) (/ 1 (- a z)))
0.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

series163.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 1 (- a z))
51.0ms	(* (- y z) (/ 1 (- a z)))
76.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

simplify1.8s

Counts

114 → 114

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	149	1251
1	334	1018
2	961	918
3	3160	918
done	5000	917

prune243.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

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

series550.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt (- y z))
155.0ms	(cbrt (- y z))
152.0ms	(cbrt (- y z))
91.0ms	(fma (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (cbrt (- a z)) (cbrt (- y z)))) t x)

simplify2.1s

Counts

73 → 73

Iterations

Useful iterations: 4 (717.0ms)

Iter	Nodes	Cost
0	96	1034
1	200	1016
2	453	928
3	1179	683
4	4731	614
done	5000	614

prune284.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes204.0ms

Accuracy

79.9% (0.3b remaining)

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

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	57
1	27	57
done	27	57

end0.0ms

sample527.0ms

Algorithm

intervals

Results

264.0ms	8736×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid