Details

sample54.0ms

Algorithm

intervals

Results

24.0ms

388×

body

valid

simplify21.7s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite84.0ms

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:

14.0ms	(+ x (* (- y z) (- t x)))
67.0ms	(* (- y z) (- t x))

series127.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(+ x (* (- y z) (- t x)))
52.0ms	(* (- y z) (- t x))

simplify813.0ms

Counts

55 → 55

Iterations

Useful iterations: done (811.0ms)

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

prune127.0ms

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

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

41.0ms	(+ (+ x (* (- y z) t)) (* (- y z) (- x)))
26.0ms	(* (- y z) (- x))
22.0ms	(* (- y z) t)

series165.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (+ x (* (- y z) t)) (* (- y z) (- x)))
50.0ms	(* (- y z) (- x))
52.0ms	(* (- y z) t)

simplify1.1s

Counts

80 → 80

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	149	1065
1	433	918
2	1753	858
done	5001	833

prune251.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize33.0ms

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))

rewrite82.0ms

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:

63.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
4.0ms	(cbrt (- y z))
4.0ms	(cbrt (- y z))
4.0ms	(cbrt (- y z))

series790.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
209.0ms	(cbrt (- y z))
197.0ms	(cbrt (- y z))
203.0ms	(cbrt (- y z))

simplify3.5s

Counts

113 → 113

Iterations

Useful iterations: done (3.5s)

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

prune489.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

44.0ms	(* (- y z) (- x))
8.0ms	(- (* y y) (* z z))
39.0ms	(* (- (* y y) (* z z)) t)
25.0ms	(/ (* (- (* y y) (* z z)) t) (+ y z))

series267.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (- y z) (- x))
45.0ms	(- (* y y) (* z z))
83.0ms	(* (- (* y y) (* z z)) t)
102.0ms	(/ (* (- (* y y) (* z z)) t) (+ y z))

simplify1.7s

Counts

103 → 103

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	159	1242
1	413	1181
2	1770	1013
done	5002	900

prune360.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes205.0ms

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

sample1.3s

Algorithm

intervals

Results

570.0ms

12135×

body

valid