Details

sample61.0ms

Algorithm

intervals

Results

33.0ms

491×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	19	13
2	50	13
3	159	13
4	298	13
5	384	13
6	392	13
7	463	13
8	620	13
9	632	13
done	632	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
0.0b	(- (* z z) t)
6.4b	(* (* y 4.0) (- (* z z) t))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `sub-neg`
4×	`distribute-rgt-in` `add-cube-cbrt` `-un-lft-identity` `distribute-lft-in` `associate-r*` `associate--r+`
3×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
2×	`diff-log` `associate-*r/` `difference-of-squares`
1×	`associate-l` `*-commutative`

Counts

3 → 54

Calls

3 calls:

15.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
12.0ms	(- (* z z) t)
40.0ms	(* (* y 4.0) (- (* z z) t))

series229.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
30.0ms	(- (* z z) t)
82.0ms	(* (* y 4.0) (- (* z z) t))

simplify3.9s

Counts

63 → 63

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	103	843
1	286	802
2	1013	696
3	4580	690
done	5001	690

prune143.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 3.5b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* x x) (* (* y 4.0) (* z z))) (* (- t) (* y 4.0)))
0.0b	(- (* x x) (* (* y 4.0) (* z z)))
10.7b	(* (* y 4.0) (* z z))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`diff-log`
3×	`add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `*-un-lft-identity`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--l-` `associate-r` `associate-l` `*-commutative`

Counts

3 → 50

Calls

3 calls:

53.0ms	(- (- (* x x) (* (* y 4.0) (* z z))) (* (- t) (* y 4.0)))
9.0ms	(- (* x x) (* (* y 4.0) (* z z)))
29.0ms	(* (* y 4.0) (* z z))

series223.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(- (- (* x x) (* (* y 4.0) (* z z))) (* (- t) (* y 4.0)))
87.0ms	(- (* x x) (* (* y 4.0) (* z z)))
46.0ms	(* (* y 4.0) (* z z))

simplify1.1s

Counts

59 → 59

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	100	988
1	272	925
2	982	741
done	5000	712

prune142.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* x x) (* (* (* y 4.0) z) z)) (* (- t) (* y 4.0)))
0.0b	(- (* x x) (* (* (* y 4.0) z) z))
0.1b	(* (* (* y 4.0) z) z)

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `diff-log`
3×	`sub-neg` `associate-r`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--l-` `associate-l` `*-commutative`

Counts

3 → 49

Calls

3 calls:

78.0ms	(- (- (* x x) (* (* (* y 4.0) z) z)) (* (- t) (* y 4.0)))
13.0ms	(- (* x x) (* (* (* y 4.0) z) z))
97.0ms	(* (* (* y 4.0) z) z)

series267.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(- (- (* x x) (* (* (* y 4.0) z) z)) (* (- t) (* y 4.0)))
102.0ms	(- (* x x) (* (* (* y 4.0) z) z))
50.0ms	(* (* (* y 4.0) z) z)

simplify1.2s

Counts

58 → 58

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	106	967
1	298	904
2	1143	736
done	5000	705

prune150.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

18.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

273.0ms	(* (cbrt z) (cbrt z))
227.0ms	(cbrt z)
255.0ms	(cbrt z)
247.0ms	(cbrt z)

simplify4.6s

Counts

85 → 85

Iterations

Useful iterations: done (4.6s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune301.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes481.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify12.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	18
1	19	18
2	23	18
3	30	18
done	30	18

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s

15832×

body

valid