Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify727.0ms

Counts

1 → 1

Iterations

Useful iterations: 5 (301.0ms)

Iter	Nodes	Cost
0	13	17
1	26	17
2	62	17
3	148	17
4	360	17
5	1677	15
done	5001	15

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z 2.0) (/ (* y t) z))
0.4b	(/ 2.0 (- (* z 2.0) (/ (* y t) z)))
0.5b	(fma (- (/ 2.0 (- (* z 2.0) (/ (* y t) z)))) y x)
4.6b	(/ (* y t) z)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
7×	`prod-diff`
6×	`associate-/r*` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`cbrt-undiv` `div-exp` `div-inv`
2×	`flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
1×	`sub-neg` `fma-neg` `diff-log` `prod-exp` `cbrt-unprod` `fma-udef`

Counts

4 → 86

Calls

4 calls:

18.0ms	(- (* z 2.0) (/ (* y t) z))
18.0ms	(/ 2.0 (- (* z 2.0) (/ (* y t) z)))
0.0ms	(fma (- (/ 2.0 (- (* z 2.0) (/ (* y t) z)))) y x)
11.0ms	(/ (* y t) z)

series178.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* z 2.0) (/ (* y t) z))
38.0ms	(/ 2.0 (- (* z 2.0) (/ (* y t) z)))
75.0ms	(fma (- (/ 2.0 (- (* z 2.0) (/ (* y t) z)))) y x)
21.0ms	(/ (* y t) z)

simplify1.3s

Counts

98 → 98

Iterations

Useful iterations: 2 (255.0ms)

Iter	Nodes	Cost
0	171	1491
1	423	1386
2	2183	1225
done	5000	1225

prune408.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z 2.0) (* y (/ t z)))
0.4b	(/ 2.0 (- (* z 2.0) (* y (/ t z))))
0.5b	(fma (- (/ 2.0 (- (* z 2.0) (* y (/ t z))))) y x)
5.0b	(* y (/ t z))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `associate-r/` `prod-diff` `pow-prod-down` `clear-num` `-commutative` `fma-udef`

Counts

4 → 91

Calls

4 calls:

13.0ms	(- (* z 2.0) (* y (/ t z)))
26.0ms	(/ 2.0 (- (* z 2.0) (* y (/ t z))))
0.0ms	(fma (- (/ 2.0 (- (* z 2.0) (* y (/ t z))))) y x)
21.0ms	(* y (/ t z))

series245.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (* z 2.0) (* y (/ t z)))
53.0ms	(/ 2.0 (- (* z 2.0) (* y (/ t z))))
98.0ms	(fma (- (/ 2.0 (- (* z 2.0) (* y (/ t z))))) y x)
27.0ms	(* y (/ t z))

simplify949.0ms

Counts

103 → 103

Iterations

Useful iterations: done (945.0ms)

Iter	Nodes	Cost
0	161	1342
1	385	1298
2	1398	1183
done	5001	1179

prune411.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

5.0b	(* y (/ t z))
11.2b	(cbrt (- (* z 2.0) (* y (/ t z))))
11.2b	(cbrt (- (* z 2.0) (* y (/ t z))))
11.2b	(cbrt (- (* z 2.0) (* y (/ t z))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`times-frac`
9×	`add-exp-log` `cbrt-prod` `add-cbrt-cube`
6×	`pow1` `cbrt-div`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `flip--`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

4 → 79

Calls

4 calls:

15.0ms	(* y (/ t z))
6.0ms	(cbrt (- (* z 2.0) (* y (/ t z))))
6.0ms	(cbrt (- (* z 2.0) (* y (/ t z))))
11.0ms	(cbrt (- (* z 2.0) (* y (/ t z))))

series591.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* y (/ t z))
171.0ms	(cbrt (- (* z 2.0) (* y (/ t z))))
191.0ms	(cbrt (- (* z 2.0) (* y (/ t z))))
201.0ms	(cbrt (- (* z 2.0) (* y (/ t z))))

simplify657.0ms

Counts

91 → 91

Iterations

Useful iterations: done (653.0ms)

Iter	Nodes	Cost
0	124	1213
1	302	1154
2	1070	1064
done	5000	1043

prune476.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (- (* z 2.0) (/ (* y t) z)) (sqrt 2.0))
0.5b	(fma (- (/ (sqrt 2.0) (/ (- (* z 2.0) (/ (* y t) z)) (sqrt 2.0)))) y x)
0.7b	(/ (sqrt 2.0) (/ (- (* z 2.0) (/ (* y t) z)) (sqrt 2.0)))
4.6b	(/ (* y t) z)

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

279×	`times-frac`
158×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
144×	`sqrt-prod`
31×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`flip3--` `div-sub` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `fma-udef`

Counts

4 → 254

Calls

4 calls:

60.0ms	(/ (- (* z 2.0) (/ (* y t) z)) (sqrt 2.0))
0.0ms	(fma (- (/ (sqrt 2.0) (/ (- (* z 2.0) (/ (* y t) z)) (sqrt 2.0)))) y x)
42.0ms	(/ (sqrt 2.0) (/ (- (* z 2.0) (/ (* y t) z)) (sqrt 2.0)))
18.0ms	(/ (* y t) z)

series590.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(/ (- (* z 2.0) (/ (* y t) z)) (sqrt 2.0))
218.0ms	(fma (- (/ (sqrt 2.0) (/ (- (* z 2.0) (/ (* y t) z)) (sqrt 2.0)))) y x)
165.0ms	(/ (sqrt 2.0) (/ (- (* z 2.0) (/ (* y t) z)) (sqrt 2.0)))
34.0ms	(/ (* y t) z)

simplify494.0ms

Counts

266 → 266

Iterations

Useful iterations: done (483.0ms)

Iter	Nodes	Cost
0	335	7050
1	886	6656
done	5001	6404

prune956.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes290.0ms

Accuracy

0% (0.5b remaining)

Error of 1.1b against oracle of 0.6b and baseline of 1.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	15
1	16	15
done	16	15

end0.0ms

sample1.4s

Algorithm

intervals

Results

869.0ms

8000×

body

valid