Details

sample52.0ms

Algorithm

intervals

Results

18.0ms

371×

body

valid

simplify3.3s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

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:

13.0ms	(+ x (* (- y z) (- t x)))
57.0ms	(* (- y z) (- t x))

series148.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify715.0ms

Counts

55 → 55

Iterations

Useful iterations: 2 (175.0ms)

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

prune210.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize31.0ms

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))

rewrite90.0ms

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:

58.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
8.0ms	(cbrt (- y z))
8.0ms	(cbrt (- y z))
8.0ms	(cbrt (- y z))

series741.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
163.0ms	(cbrt (- y z))
177.0ms	(cbrt (- y z))
244.0ms	(cbrt (- y z))

simplify913.0ms

Counts

113 → 113

Iterations

Useful iterations: done (910.0ms)

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

prune476.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-div`
19×	`flip3--` `flip--`
12×	`frac-times`
8×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`associate-r/` `associate-l/`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 66

Calls

4 calls:

4.0ms	(cbrt (- y z))
14.0ms	(cbrt (* (cbrt (- y z)) (cbrt (- y z))))
19.0ms	(cbrt (* (cbrt (- y z)) (cbrt (- y z))))
14.0ms	(cbrt (* (cbrt (- y z)) (cbrt (- y z))))

series761.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(cbrt (- y z))
192.0ms	(cbrt (* (cbrt (- y z)) (cbrt (- y z))))
191.0ms	(cbrt (* (cbrt (- y z)) (cbrt (- y z))))
175.0ms	(cbrt (* (cbrt (- y z)) (cbrt (- y z))))

simplify1.1s

Counts

78 → 78

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	123	1371
1	236	1331
2	553	1263
3	1817	1238
done	5000	1223

prune488.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- (* t t) (* x x)) (- y z)) (+ t x)))
2.1b	(- (* t t) (* x x))
4.6b	(* (- (* t t) (* x x)) (- y z))
20.2b	(/ (* (- (* t t) (* x x)) (- y z)) (+ t x))

rewrite133.0ms

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:

26.0ms	(+ x (/ (* (- (* t t) (* x x)) (- y z)) (+ t x)))
9.0ms	(- (* t t) (* x x))
47.0ms	(* (- (* t t) (* x x)) (- y z))
48.0ms	(/ (* (- (* t t) (* x x)) (- y z)) (+ t x))

series350.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(+ x (/ (* (- (* t t) (* x x)) (- y z)) (+ t x)))
49.0ms	(- (* t t) (* x x))
71.0ms	(* (- (* t t) (* x x)) (- y z))
72.0ms	(/ (* (- (* t t) (* x x)) (- y z)) (+ t x))

simplify2.1s

Counts

103 → 103

Iterations

Useful iterations: 2 (810.0ms)

Iter	Nodes	Cost
0	167	1904
1	529	1806
2	3239	1566
done	5001	1566

prune514.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes305.0ms

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	8	9
1	10	9
done	10	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

540.0ms

12211×

body

valid