Details

sample35.0ms

Algorithm

intervals

Results

13.0ms

379×

body

valid

simplify3.5s

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	266	9
5	893	9
6	4915	9
done	5000	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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)))
37.0ms	(* (- y z) (- t x))

series144.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(+ x (* (- y z) (- t x)))
55.0ms	(* (- y z) (- t x))

simplify682.0ms

Counts

55 → 55

Iterations

Useful iterations: 2 (190.0ms)

Iter	Nodes	Cost
0	110	687
1	300	651
2	1286	611
done	5000	611

prune140.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

21.0ms	(* t (- y z))
44.0ms	(+ (+ x (* t (- y z))) (* (- x) (- y z)))
7.0ms	(+ x (* t (- y z)))
26.0ms	(* (- x) (- y z))

series215.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* t (- y z))
69.0ms	(+ (+ x (* t (- y z))) (* (- x) (- y z)))
51.0ms	(+ x (* t (- y z)))
43.0ms	(* (- x) (- y z))

simplify1.5s

Counts

110 → 110

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	159	1355
1	491	1180
2	2422	1118
done	5001	1110

prune403.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- y z)) (cbrt (- y z)))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))

rewrite101.0ms

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:

71.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
8.0ms	(cbrt (- y z))
8.0ms	(cbrt (- y z))
9.0ms	(cbrt (- y z))

series762.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
215.0ms	(cbrt (- y z))
179.0ms	(cbrt (- y z))
181.0ms	(cbrt (- y z))

simplify1.0s

Counts

113 → 113

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	131	1384
1	286	1281
2	934	1223
done	5000	1177

prune423.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (sqrt (- y z)) (* (sqrt (- y z)) (- t x))))
0.1b	(* (sqrt (- y z)) (- t x))
0.2b	(* (sqrt (- y z)) (* (sqrt (- y z)) (- t x)))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 114

Calls

3 calls:

10.0ms	(+ x (* (sqrt (- y z)) (* (sqrt (- y z)) (- t x))))
45.0ms	(* (sqrt (- y z)) (- t x))
118.0ms	(* (sqrt (- y z)) (* (sqrt (- y z)) (- t x)))

series412.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(+ x (* (sqrt (- y z)) (* (sqrt (- y z)) (- t x))))
269.0ms	(* (sqrt (- y z)) (- t x))
51.0ms	(* (sqrt (- y z)) (* (sqrt (- y z)) (- t x)))

simplify1.9s

Counts

123 → 123

Iterations

Useful iterations: 2 (492.0ms)

Iter	Nodes	Cost
0	194	2477
1	558	2292
2	2447	1782
done	5000	1782

prune427.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes123.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

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

560.0ms

12106×

body

valid