Details

sample49.0ms

Algorithm

intervals

Results

19.0ms

388×

body

valid

simplify21.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	80	9
4	251	9
5	528	9
6	909	9
7	1573	9
8	2059	9
9	2666	9
10	2813	9
11	3145	9
12	3217	9
13	3455	9
14	3607	9
15	3932	9
16	3956	9
done	3956	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y z) (- t x)))
0.0b	(* (- y z) (- t x))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

9.0ms	(+ x (* (- y z) (- t x)))
73.0ms	(* (- y z) (- t x))

series121.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ x (* (- y z) (- t x)))
54.0ms	(* (- y z) (- t x))

simplify1.0s

Counts

55 → 55

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	110	687
1	291	651
2	1093	611
done	5000	609

prune152.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x (* (- y z) t)) (* (- x) (- y z)))
0.0b	(* (- x) (- y z))
0.0b	(* (- y z) t)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`associate-l`
13×	`*-un-lft-identity`
9×	`add-cube-cbrt`
8×	`associate-r` `add-log-exp`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-*r/`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `flip3--` `distribute-lft-in` `frac-add` `flip--`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `sum-log` `flip-+`
2×	`pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `neg-mul-1` `associate-+l+` `unsub-neg`

Counts

3 → 79

Calls

3 calls:

47.0ms	(+ (+ x (* (- y z) t)) (* (- x) (- y z)))
36.0ms	(* (- x) (- y z))
22.0ms	(* (- y z) t)

series203.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(+ (+ x (* (- y z) t)) (* (- x) (- y z)))
51.0ms	(* (- x) (- y z))
42.0ms	(* (- y z) t)

simplify1.3s

Counts

88 → 88

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	153	1147
1	450	1055
2	1869	991
done	5000	962

prune349.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

40.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
13.0ms	(cbrt (- y z))
9.0ms	(cbrt (- y z))
9.0ms	(cbrt (- y z))

series831.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
222.0ms	(cbrt (- y z))
234.0ms	(cbrt (- y z))
208.0ms	(cbrt (- y z))

simplify2.7s

Counts

113 → 113

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	131	1384
1	262	1281
2	616	1223
3	1325	1128
4	3508	1080
done	5001	1032

prune379.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x) (- y z))
1.5b	(- (* y y) (* z z))
7.3b	(* (- (* y y) (* z z)) t)
15.2b	(/ (* (- (* y y) (* z z)) t) (+ y z))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`associate-l`
13×	`add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
8×	`pow1` `associate-r`
6×	`add-log-exp`
4×	`flip3--` `times-frac` `associate-l/` `associate-/r` `flip--`
3×	`distribute-lft-neg-in` `sub-neg` `distribute-rgt-neg-in` `prod-exp` `cbrt-unprod` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `div-exp` `pow-prod-down` `associate-/r/` `-commutative` `associate-/l/` `distribute-lft-out` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-mul-1` `frac-2neg` `flip3-+` `diff-log` `clear-num` `flip-+` `div-inv` `associate-/l*` `distribute-lft-out--`

Counts

4 → 95

Calls

4 calls:

40.0ms	(* (- x) (- y z))
8.0ms	(- (* y y) (* z z))
32.0ms	(* (- (* y y) (* z z)) t)
25.0ms	(/ (* (- (* y y) (* z z)) t) (+ y z))

series207.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (- x) (- y z))
39.0ms	(- (* y y) (* z z))
48.0ms	(* (- (* y y) (* z z)) t)
77.0ms	(/ (* (- (* y y) (* z z)) t) (+ y z))

simplify1.8s

Counts

107 → 107

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	159	1276
1	420	1216
2	1786	1048
done	5002	929

prune792.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes211.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	16	14
2	20	14
3	21	14
done	21	14

end0.0ms

sample1.4s

Algorithm

intervals

Results

674.0ms

12135×

body

valid