Details

sample20.0ms

Algorithm

intervals

Results

9.0ms	316×	body	80	valid
0.0ms	1×	body	160	valid

simplify135.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (12.0ms)

Iter	Nodes	Cost
0	11	13
1	20	12
2	49	10
3	118	9
4	230	9
5	274	9
6	286	9
done	286	9

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ d2 (+ d3 5.0))
0.0b	(+ 32.0 (+ d2 (+ d3 5.0)))
0.0b	(* d1 (+ 32.0 (+ d2 (+ d3 5.0))))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
17×	`add-log-exp`
15×	`distribute-lft-out`
9×	`add-sqr-sqrt` `sum-log`
7×	`add-cube-cbrt`
6×	`fma-def` `associate-r`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `flip3-+` `associate-l` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `associate-+r+` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

8.0ms	(+ d2 (+ d3 5.0))
24.0ms	(+ 32.0 (+ d2 (+ d3 5.0)))
87.0ms	(* d1 (+ 32.0 (+ d2 (+ d3 5.0))))

series56.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ d2 (+ d3 5.0))
13.0ms	(+ 32.0 (+ d2 (+ d3 5.0)))
29.0ms	(* d1 (+ 32.0 (+ d2 (+ d3 5.0))))

simplify408.0ms

Counts

78 → 78

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	99	722
1	297	673
2	1170	620
done	5001	620

prune142.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* d1 (+ d2 (+ d3 5.0)))
0.0b	(+ d2 (+ d3 5.0))
0.0b	(+ (* d1 32.0) (* d1 (+ d2 (+ d3 5.0))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`add-sqr-sqrt`
7×	`distribute-lft-out`
6×	`add-cube-cbrt`
5×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
4×	`fma-def` `sum-log`
3×	`expm1-log1p-u` `associate-+r+` `flip3-+` `associate-l` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

29.0ms	(* d1 (+ d2 (+ d3 5.0)))
8.0ms	(+ d2 (+ d3 5.0))
3.0ms	(+ (* d1 32.0) (* d1 (+ d2 (+ d3 5.0))))

series84.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* d1 (+ d2 (+ d3 5.0)))
13.0ms	(+ d2 (+ d3 5.0))
42.0ms	(+ (* d1 32.0) (* d1 (+ d2 (+ d3 5.0))))

simplify518.0ms

Counts

72 → 72

Iterations

Useful iterations: done (516.0ms)

Iter	Nodes	Cost
0	99	733
1	300	640
2	1348	590
done	5000	589

prune146.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* d2 d2) (- (* (+ d3 5.0) (+ d3 5.0)) (* d2 (+ d3 5.0))))
2.9b	(* d1 (+ (pow d2 3) (pow (+ d3 5.0) 3)))
3.0b	(+ (pow d2 3) (pow (+ d3 5.0) 3))
23.3b	(/ (* d1 (+ (pow d2 3) (pow (+ d3 5.0) 3))) (+ (* d2 d2) (- (* (+ d3 5.0) (+ d3 5.0)) (* d2 (+ d3 5.0)))))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
26×	`distribute-lft-out`
19×	`unpow-prod-down` `cube-prod`
13×	`add-sqr-sqrt` `fma-def` `associate-r`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
5×	`associate-+r+` `flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`times-frac` `associate-l` `associate-/r*` `sum-log`
2×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate--l+` `associate-/r/` `sum-cubes` `cbrt-unprod` `associate-/l/`
1×	`cube-mult` `associate-+r-` `sub-neg` `frac-2neg` `diff-log` `unpow3` `prod-diff` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr` `sqr-pow`

Counts

4 → 117

Calls

4 calls:

18.0ms	(+ (* d2 d2) (- (* (+ d3 5.0) (+ d3 5.0)) (* d2 (+ d3 5.0))))
94.0ms	(* d1 (+ (pow d2 3) (pow (+ d3 5.0) 3)))
26.0ms	(+ (pow d2 3) (pow (+ d3 5.0) 3))
64.0ms	(/ (* d1 (+ (pow d2 3) (pow (+ d3 5.0) 3))) (+ (* d2 d2) (- (* (+ d3 5.0) (+ d3 5.0)) (* d2 (+ d3 5.0)))))

series447.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* d2 d2) (- (* (+ d3 5.0) (+ d3 5.0)) (* d2 (+ d3 5.0))))
155.0ms	(* d1 (+ (pow d2 3) (pow (+ d3 5.0) 3)))
57.0ms	(+ (pow d2 3) (pow (+ d3 5.0) 3))
201.0ms	(/ (* d1 (+ (pow d2 3) (pow (+ d3 5.0) 3))) (+ (* d2 d2) (- (* (+ d3 5.0) (+ d3 5.0)) (* d2 (+ d3 5.0)))))

simplify873.0ms

Counts

129 → 129

Iterations

Useful iterations: 2 (173.0ms)

Iter	Nodes	Cost
0	177	2426
1	522	1990
2	2434	1738
done	5001	1738

prune598.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* d2 d2) (- (* (+ d3 5.0) (+ d3 5.0)) (* d2 (+ d3 5.0))))
1.3b	(fma d2 d2 (* (+ d3 5.0) (- (+ d3 5.0) d2)))
6.1b	(* (fma d2 d2 (* (+ d3 5.0) (- (+ d3 5.0) d2))) d1)
23.3b	(/ (* (* (fma d2 d2 (* (+ d3 5.0) (- (+ d3 5.0) d2))) d1) (+ d2 (+ d3 5.0))) (+ (* d2 d2) (- (* (+ d3 5.0) (+ d3 5.0)) (* d2 (+ d3 5.0)))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`add-log-exp`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
5×	`associate-+r+`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`cbrt-undiv` `flip3-+` `times-frac` `div-exp` `associate-r` `associate-l` `associate-/r*` `flip-+`
2×	`associate-*r/` `associate--l+` `sum-log` `associate-/r/` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `associate-+r-` `sub-neg` `fma-def` `frac-2neg` `distribute-lft-in` `diff-log` `prod-diff` `pow-prod-down` `clear-num` `-commutative` `fma-udef` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

19.0ms	(+ (* d2 d2) (- (* (+ d3 5.0) (+ d3 5.0)) (* d2 (+ d3 5.0))))
0.0ms	(fma d2 d2 (* (+ d3 5.0) (- (+ d3 5.0) d2)))
3.0ms	(* (fma d2 d2 (* (+ d3 5.0) (- (+ d3 5.0) d2))) d1)
45.0ms	(/ (* (* (fma d2 d2 (* (+ d3 5.0) (- (+ d3 5.0) d2))) d1) (+ d2 (+ d3 5.0))) (+ (* d2 d2) (- (* (+ d3 5.0) (+ d3 5.0)) (* d2 (+ d3 5.0)))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* d2 d2) (- (* (+ d3 5.0) (+ d3 5.0)) (* d2 (+ d3 5.0))))
32.0ms	(fma d2 d2 (* (+ d3 5.0) (- (+ d3 5.0) d2)))
56.0ms	(* (fma d2 d2 (* (+ d3 5.0) (- (+ d3 5.0) d2))) d1)
122.0ms	(/ (* (* (fma d2 d2 (* (+ d3 5.0) (- (+ d3 5.0) d2))) d1) (+ d2 (+ d3 5.0))) (+ (* d2 d2) (- (* (+ d3 5.0) (+ d3 5.0)) (* d2 (+ d3 5.0)))))

simplify814.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (169.0ms)

Iter	Nodes	Cost
0	160	2636
1	467	2272
2	2393	1866
done	5001	1866

prune302.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	13	9
done	13	9

end0.0ms

sample504.0ms

Algorithm

intervals

Results

292.0ms	9992×	body	80	valid
3.0ms	24×	body	640	valid
1.0ms	13×	body	320	valid
1.0ms	10×	body	160	valid
0.0ms	2×	body	1280	valid