Details

sample48.0ms

Algorithm

intervals

Results

15.0ms

284×

body

valid

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (17.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	63	10
4	106	10
5	179	10
6	329	10
7	660	10
8	1295	10
9	2525	10
done	5000	10

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
0.5b	(fma (/ (- y z) (- a z)) t x)

rewrite41.0ms

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:

37.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) t x)

series182.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(/ (- y z) (- a z))
120.0ms	(fma (/ (- y z) (- a z)) t x)

simplify1.8s

Counts

70 → 70

Iterations

Useful iterations: 3 (507.0ms)

Iter	Nodes	Cost
0	113	884
1	264	856
2	826	810
3	4309	808
done	5000	808

prune195.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.5b	(fma (/ 1 (/ (- a z) (- y z))) t x)
0.7b	(/ 1 (/ (- a z) (- y z)))

rewrite84.0ms

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:

28.0ms	(/ (- a z) (- y z))
0.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)
36.0ms	(/ 1 (/ (- a z) (- y z)))

series436.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (- a z) (- y z))
201.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)
179.0ms	(/ 1 (/ (- a z) (- y z)))

simplify1.5s

Counts

223 → 223

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	270	3746
1	701	3234
2	3867	3047
done	5001	3043

prune409.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(fma (* (/ 1 (* (cbrt (/ (- a z) (- y z))) (cbrt (/ (- a z) (- y z))))) (/ 1 (cbrt (/ (- a z) (- y z))))) t x)
4.5b	(cbrt (/ (- a z) (- y z)))
4.5b	(cbrt (/ (- a z) (- y z)))
4.5b	(cbrt (/ (- a z) (- y z)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
37×	`add-cube-cbrt`
30×	`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 → 136

Calls

4 calls:

0.0ms	(fma (* (/ 1 (* (cbrt (/ (- a z) (- y z))) (cbrt (/ (- a z) (- y z))))) (/ 1 (cbrt (/ (- a z) (- y z))))) t x)
14.0ms	(cbrt (/ (- a z) (- y z)))
14.0ms	(cbrt (/ (- a z) (- y z)))
13.0ms	(cbrt (/ (- a z) (- y z)))

series1.5s

Counts

4 → 12

Calls

4 calls:

280.0ms	(fma (* (/ 1 (* (cbrt (/ (- a z) (- y z))) (cbrt (/ (- a z) (- y z))))) (/ 1 (cbrt (/ (- a z) (- y z))))) t x)
359.0ms	(cbrt (/ (- a z) (- y z)))
394.0ms	(cbrt (/ (- a z) (- y z)))
423.0ms	(cbrt (/ (- a z) (- y z)))

simplify1.2s

Counts

148 → 148

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	178	2827
1	343	2728
2	748	2583
3	2733	2545
done	5001	2270

prune747.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) t x)
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))

rewrite21.0ms

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:

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

series737.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) t x)
205.0ms	(cbrt (- y z))
200.0ms	(cbrt (- y z))
220.0ms	(cbrt (- y z))

simplify956.0ms

Counts

73 → 73

Iterations

Useful iterations: done (953.0ms)

Iter	Nodes	Cost
0	93	891
1	191	873
2	480	719
3	1566	650
done	5001	614

prune277.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes245.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
done	9	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

757.0ms	8729×	body	80	valid
0.0ms	2×	body	160	valid