Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

277×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	63	10
4	105	10
5	165	10
6	225	10
7	255	10
8	290	10
9	341	10
10	458	10
11	801	10
12	1076	10
13	1090	10
14	1092	10
done	1092	10

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)

series117.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- y z) (- a z))
72.0ms	(fma (/ (- y z) (- a z)) t x)

simplify884.0ms

Counts

70 → 70

Iterations

Useful iterations: done (882.0ms)

Iter	Nodes	Cost
0	113	884
1	259	856
2	682	808
3	2198	808
done	5002	806

prune168.0ms

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)

rewrite43.0ms

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))
18.0ms	(/ 1 (/ (- a z) (- y z)))
0.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

series356.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (- a z) (- y z))
129.0ms	(/ 1 (/ (- a z) (- y z)))
180.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify1.4s

Counts

223 → 223

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	270	3746
1	633	3330
2	2151	2915
done	5000	2907

prune358.0ms

Pruning

5 alts after pruning (3 fresh and 2 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))
28.0ms	(* (- y z) (/ 1 (- a z)))
0.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

series160.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1 (- a z))
47.0ms	(* (- y z) (/ 1 (- a z)))
76.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

simplify2.6s

Counts

114 → 114

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	149	1251
1	339	1062
2	1235	918
3	4197	918
done	5000	917

prune247.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

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

series520.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (- y z))
150.0ms	(cbrt (- y z))
147.0ms	(cbrt (- y z))
74.0ms	(fma (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- a z)) (cbrt (- a z)))) (/ 1 (/ (cbrt (- a z)) (cbrt (- y z))))) t x)

simplify787.0ms

Counts

73 → 73

Iterations

Useful iterations: 3 (173.0ms)

Iter	Nodes	Cost
0	97	1060
1	204	1042
2	501	928
3	1790	771
done	5001	771

prune298.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes224.0ms

Accuracy

80.4% (0.3b remaining)

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

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

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

end0.0ms

sample550.0ms

Algorithm

intervals

Results

273.0ms	8736×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid