Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

324×

body

valid

simplify100.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	28	7
4	38	7
5	47	7
6	52	7
7	61	7
8	78	7
9	97	7
10	108	7
11	110	7
12	114	7
13	117	7
done	117	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 x) z)
0.0b	(+ x (/ (- y x) z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 51

Calls

2 calls:

9.0ms	(/ (- y x) z)
11.0ms	(+ x (/ (- y x) z))

series48.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (- y x) z)
22.0ms	(+ x (/ (- y x) z))

simplify982.0ms

Counts

57 → 57

Iterations

Useful iterations: done (980.0ms)

Iter	Nodes	Cost
0	94	588
1	223	544
2	543	520
3	1662	520
done	5002	519

prune104.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ 1 z)))
0.3b	(* (- y x) (/ 1 z))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-exp-log` `times-frac`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `prod-exp` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-times` `flip3--` `div-exp` `associate-*l/` `flip--` `cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `flip3-+` `1-exp` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 53

Calls

2 calls:

2.0ms	(+ x (* (- y x) (/ 1 z)))
15.0ms	(* (- y x) (/ 1 z))

series54.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ x (* (- y x) (/ 1 z)))
31.0ms	(* (- y x) (/ 1 z))

simplify1.9s

Counts

59 → 59

Iterations

Useful iterations: 2 (128.0ms)

Iter	Nodes	Cost
0	117	680
1	296	528
2	811	460
3	3129	460
done	5000	460

prune103.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- y x)) (cbrt (- y x)))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))

rewrite29.0ms

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:

19.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
2.0ms	(cbrt (- y x))
2.0ms	(cbrt (- y x))
2.0ms	(cbrt (- y x))

series590.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
151.0ms	(cbrt (- y x))
153.0ms	(cbrt (- y x))
157.0ms	(cbrt (- y x))

simplify2.2s

Counts

113 → 113

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	131	1384
1	262	1281
2	631	1223
3	1586	1128
4	4525	1080
done	5000	1080

prune281.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
0.6b	(cbrt (+ y x))
4.2b	(- (* y y) (* x x))
25.0b	(cbrt (- (* y y) (* x x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

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

series428.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (- y x))
132.0ms	(cbrt (+ y x))
31.0ms	(- (* y y) (* x x))
114.0ms	(cbrt (- (* y y) (* x x)))

simplify1.1s

Counts

68 → 68

Iterations

Useful iterations: 3 (430.0ms)

Iter	Nodes	Cost
0	149	777
1	331	742
2	873	676
3	2730	653
done	5001	653

prune245.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes68.0ms

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	7	7
done	7	7

end0.0ms

sample432.0ms

Algorithm

intervals

Results

217.0ms

10061×

body

valid