Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

412×

body

valid

simplify757.0ms

Counts

1 → 1

Iterations

Useful iterations: 7 (309.0ms)

Iter	Nodes	Cost
0	11	15
1	23	14
2	58	14
3	106	14
4	191	14
5	341	14
6	704	14
7	1618	13
done	5000	13

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* (+ x z) (/ (- z x) y)))
0.0b	(/ (- z x) y)
0.2b	(* (+ x z) (/ (- z x) y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
31×	`times-frac`
25×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
4×	`associate-l`
3×	`expm1-log1p-u` `fma-neg` `prod-diff` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-times` `flip3--` `flip3-+` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `distribute-lft-out`

Counts

3 → 105

Calls

3 calls:

2.0ms	(- y (* (+ x z) (/ (- z x) y)))
9.0ms	(/ (- z x) y)
22.0ms	(* (+ x z) (/ (- z x) y))

series113.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- y (* (+ x z) (/ (- z x) y)))
25.0ms	(/ (- z x) y)
47.0ms	(* (+ x z) (/ (- z x) y))

simplify701.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (202.0ms)

Iter	Nodes	Cost
0	166	1463
1	418	1377
2	1680	1279
done	5001	1279

prune291.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (/ (- z x) y)) (cbrt (/ (- z x) y)))
2.9b	(cbrt (/ (- z x) y))
2.9b	(cbrt (/ (- z x) y))
2.9b	(cbrt (/ (- z x) y))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

157×	`cbrt-prod`
141×	`add-sqr-sqrt`
135×	`*-un-lft-identity`
123×	`times-frac`
75×	`add-cube-cbrt`
28×	`swap-sqr`
27×	`distribute-lft-out--`
22×	`associate-r` `associate-l`
21×	`difference-of-squares`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 194

Calls

4 calls:

40.0ms	(* (cbrt (/ (- z x) y)) (cbrt (/ (- z x) y)))
3.0ms	(cbrt (/ (- z x) y))
3.0ms	(cbrt (/ (- z x) y))
4.0ms	(cbrt (/ (- z x) y))

series569.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* (cbrt (/ (- z x) y)) (cbrt (/ (- z x) y)))
130.0ms	(cbrt (/ (- z x) y))
134.0ms	(cbrt (/ (- z x) y))
139.0ms	(cbrt (/ (- z x) y))

simplify771.0ms

Counts

206 → 206

Iterations

Useful iterations: done (764.0ms)

Iter	Nodes	Cost
0	236	3540
1	442	3334
2	1290	3233
done	5000	3226

prune658.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (- z x))
0.6b	(cbrt (- z x))
0.6b	(cbrt (- z x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 64

Calls

4 calls:

0.0ms	(cbrt y)
2.0ms	(cbrt (- z x))
2.0ms	(cbrt (- z x))
2.0ms	(cbrt (- z x))

series615.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt y)
148.0ms	(cbrt (- z x))
141.0ms	(cbrt (- z x))
147.0ms	(cbrt (- z x))

simplify2.0s

Counts

76 → 76

Iterations

Useful iterations: 4 (720.0ms)

Iter	Nodes	Cost
0	93	659
1	186	637
2	394	607
3	984	568
4	4077	532
done	5000	532

prune293.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- y (* (* (+ x z) (- z x)) (/ 1 y)))
13.1b	(* (* (+ x z) (- z x)) (/ 1 y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
16×	`frac-times`
14×	`add-cbrt-cube`
13×	`associate-r`
12×	`associate-*l/` `prod-exp`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`pow1` `flip3--` `flip--`
6×	`flip3-+` `cbrt-unprod` `flip-+`
5×	`associate-*r/`
4×	`div-exp` `add-log-exp`
3×	`fma-neg` `prod-diff` `pow-prod-down`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
1×	`sub-neg` `diff-log` `associate-l` `un-div-inv` `*-commutative` `div-inv`

Counts

2 → 76

Calls

2 calls:

5.0ms	(- y (* (* (+ x z) (- z x)) (/ 1 y)))
28.0ms	(* (* (+ x z) (- z x)) (/ 1 y))

series96.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(- y (* (* (+ x z) (- z x)) (/ 1 y)))
50.0ms	(* (* (+ x z) (- z x)) (/ 1 y))

simplify915.0ms

Counts

82 → 82

Iterations

Useful iterations: 2 (277.0ms)

Iter	Nodes	Cost
0	175	1500
1	528	1242
2	2197	1104
done	5000	1104

prune184.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	12	13
done	12	13

end0.0ms

sample745.0ms

Algorithm

intervals

Results

466.0ms

13614×

body

valid