Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

325×

body

valid

simplify6.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	21	7
3	28	7
4	32	7
5	38	7
6	44	7
7	67	7
8	88	7
9	117	7
10	172	7
11	348	7
12	1599	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

13.0ms	(* y (+ z x))
3.0ms	(+ x (* y (+ z x)))

series54.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* y (+ z x))
28.0ms	(+ x (* y (+ z x)))

simplify1.5s

Counts

42 → 42

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	67	376
1	196	348
2	668	318
3	2650	318
done	5000	318

prune74.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ z x))
0.5b	(cbrt (+ z x))
0.5b	(cbrt (+ z x))
0.6b	(* (cbrt (+ z x)) (cbrt (+ z x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
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 → 95

Calls

4 calls:

2.0ms	(cbrt (+ z x))
2.0ms	(cbrt (+ z x))
5.0ms	(cbrt (+ z x))
21.0ms	(* (cbrt (+ z x)) (cbrt (+ z x)))

series554.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (+ z x))
128.0ms	(cbrt (+ z x))
132.0ms	(cbrt (+ z x))
164.0ms	(* (cbrt (+ z x)) (cbrt (+ z x)))

simplify2.0s

Counts

107 → 107

Iterations

Useful iterations: 3 (491.0ms)

Iter	Nodes	Cost
0	116	1266
1	252	1159
2	874	1089
3	3473	1012
done	5000	1012

prune296.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ z x))
0.5b	(cbrt (+ z x))
2.7b	(- (* z z) (* x x))
25.3b	(cbrt (- (* z z) (* x x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
2×	`flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `difference-of-squares`
1×	`sub-neg` `diff-log`

Counts

4 → 55

Calls

4 calls:

2.0ms	(cbrt (+ z x))
2.0ms	(cbrt (+ z x))
3.0ms	(- (* z z) (* x x))
3.0ms	(cbrt (- (* z z) (* x x)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt (+ z x))
128.0ms	(cbrt (+ z x))
32.0ms	(- (* z z) (* x x))
107.0ms	(cbrt (- (* z z) (* x x)))

simplify1.2s

Counts

67 → 67

Iterations

Useful iterations: 3 (291.0ms)

Iter	Nodes	Cost
0	108	752
1	245	712
2	735	646
3	2782	629
done	5000	629

prune246.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
2.7b	(- (* z z) (* x x))
9.1b	(* y (- (* z z) (* x x)))
19.4b	(/ (* y (- (* z z) (* x x))) (- z x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

10.0ms	(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
3.0ms	(- (* z z) (* x x))
11.0ms	(* y (- (* z z) (* x x)))
11.0ms	(/ (* y (- (* z z) (* x x))) (- z x))

series248.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
34.0ms	(- (* z z) (* x x))
70.0ms	(* y (- (* z z) (* x x)))
86.0ms	(/ (* y (- (* z z) (* x x))) (- z x))

simplify601.0ms

Counts

91 → 91

Iterations

Useful iterations: 2 (114.0ms)

Iter	Nodes	Cost
0	135	1393
1	372	1307
2	1734	1133
done	5000	1133

prune171.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes84.0ms

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	6	7
1	9	7
done	9	7

end0.0ms

sample395.0ms

Algorithm

intervals

Results

190.0ms

10113×

body

valid