Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

324×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	34	9
4	55	9
5	65	9
6	71	9
7	88	9
8	122	9
9	305	9
10	1233	9
done	5000	9

prune2.0ms

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) (* (- x 1.0) z))
0.0b	(* (- x 1.0) z)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

13.0ms	(+ (* x y) (* (- x 1.0) z))
22.0ms	(* (- x 1.0) z)

series102.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ (* x y) (* (- x 1.0) z))
42.0ms	(* (- x 1.0) z)

simplify674.0ms

Counts

39 → 39

Iterations

Useful iterations: 2 (131.0ms)

Iter	Nodes	Cost
0	71	405
1	192	373
2	766	345
done	5000	345

prune105.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))

rewrite95.0ms

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:

67.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
8.0ms	(cbrt (- x 1.0))
8.0ms	(cbrt (- x 1.0))
8.0ms	(cbrt (- x 1.0))

series579.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
139.0ms	(cbrt (- x 1.0))
132.0ms	(cbrt (- x 1.0))
138.0ms	(cbrt (- x 1.0))

simplify932.0ms

Counts

113 → 113

Iterations

Useful iterations: done (927.0ms)

Iter	Nodes	Cost
0	167	1563
1	397	1421
2	1408	1353
done	5000	1305

prune501.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
0.6b	(cbrt (* (- x 1.0) z))
0.6b	(cbrt (* (- x 1.0) z))
0.6b	(cbrt (* (- x 1.0) z))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

39.0ms	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
15.0ms	(cbrt (* (- x 1.0) z))
8.0ms	(cbrt (* (- x 1.0) z))
8.0ms	(cbrt (* (- x 1.0) z))

series547.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
120.0ms	(cbrt (* (- x 1.0) z))
126.0ms	(cbrt (* (- x 1.0) z))
135.0ms	(cbrt (* (- x 1.0) z))

simplify702.0ms

Counts

84 → 84

Iterations

Useful iterations: done (698.0ms)

Iter	Nodes	Cost
0	150	1569
1	375	1444
2	1193	1304
done	5001	1227

prune324.0ms

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 x) (* 1.0 1.0))
0.0b	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
2.7b	(* (- (* x x) (* 1.0 1.0)) z)
6.1b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

8.0ms	(- (* x x) (* 1.0 1.0))
24.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
42.0ms	(* (- (* x x) (* 1.0 1.0)) z)
32.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series217.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* x x) (* 1.0 1.0))
63.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
47.0ms	(* (- (* x x) (* 1.0 1.0)) z)
63.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify1.5s

Counts

84 → 84

Iterations

Useful iterations: 2 (269.0ms)

Iter	Nodes	Cost
0	130	1337
1	398	1253
2	2292	1087
done	5000	1087

prune257.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

605.0ms

10145×

body

valid