Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

394×

body

valid

simplify21.9s

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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)))
46.0ms	(* (- y z) (- t x))

series158.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(+ x (* (- y z) (- t x)))
71.0ms	(* (- y z) (- t x))

simplify869.0ms

Counts

55 → 55

Iterations

Useful iterations: done (867.0ms)

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

prune167.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

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:

54.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
7.0ms	(cbrt (- y z))
4.0ms	(cbrt (- y z))
4.0ms	(cbrt (- y z))

series853.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
233.0ms	(cbrt (- y z))
205.0ms	(cbrt (- y z))
212.0ms	(cbrt (- y z))

simplify2.9s

Counts

113 → 113

Iterations

Useful iterations: done (2.9s)

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

prune397.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- y z) (- (* t t) (* x x))) (+ t x)))
1.7b	(- (* t t) (* x x))
4.3b	(* (- y z) (- (* t t) (* x x)))
22.6b	(/ (* (- y z) (- (* t t) (* x x))) (+ t x))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

21.0ms	(+ x (/ (* (- y z) (- (* t t) (* x x))) (+ t x)))
8.0ms	(- (* t t) (* x x))
71.0ms	(* (- y z) (- (* t t) (* x x)))
87.0ms	(/ (* (- y z) (- (* t t) (* x x))) (+ t x))

series490.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(+ x (/ (* (- y z) (- (* t t) (* x x))) (+ t x)))
38.0ms	(- (* t t) (* x x))
126.0ms	(* (- y z) (- (* t t) (* x x)))
147.0ms	(/ (* (- y z) (- (* t t) (* x x))) (+ t x))

simplify1.6s

Counts

103 → 103

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	168	1912
1	508	1788
2	2256	1562
done	5000	1382

prune366.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- (* y y) (* z z)) (- t x)) (+ y z)))
1.5b	(- (* y y) (* z z))
5.0b	(* (- (* y y) (* z z)) (- t x))
25.9b	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

22.0ms	(+ x (/ (* (- (* y y) (* z z)) (- t x)) (+ y z)))
8.0ms	(- (* y y) (* z z))
43.0ms	(* (- (* y y) (* z z)) (- t x))
67.0ms	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

series482.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(+ x (/ (* (- (* y y) (* z z)) (- t x)) (+ y z)))
57.0ms	(- (* y y) (* z z))
91.0ms	(* (- (* y y) (* z z)) (- t x))
105.0ms	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

simplify1.9s

Counts

103 → 103

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	169	1912
1	503	1786
2	2275	1578
done	5002	1388

prune368.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes213.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample1.8s

Algorithm

intervals

Results

654.0ms

12290×

body

valid