Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

327×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	3906
8	1110
7	348
6	131
5	55
4	49
3	39
2	25
1	15
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

22.0ms	(* y (+ z x))
7.0ms	(+ x (* y (+ z x)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* y (+ z x))
41.0ms	(+ x (* y (+ z x)))

simplify895.0ms

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
2	787
1	200
0	66

prune221.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
2.6b	(cbrt (* y (+ z x)))
2.6b	(cbrt (* y (+ z x)))
2.6b	(cbrt (* y (+ z x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

15.0ms	(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
5.0ms	(cbrt (* y (+ z x)))
5.0ms	(cbrt (* y (+ z x)))
7.0ms	(cbrt (* y (+ z x)))

series583.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
134.0ms	(cbrt (* y (+ z x)))
121.0ms	(cbrt (* y (+ z x)))
138.0ms	(cbrt (* y (+ z x)))

simplify766.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	889
1	274
0	108

prune412.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

12.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

272.0ms	(* (cbrt y) (cbrt y))
273.0ms	(cbrt y)
226.0ms	(cbrt y)
247.0ms	(cbrt y)

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune403.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* y (+ z x)))
0.3b	(* (* y (+ z x)) (* y (+ z x)))
4.6b	(- (* x x) (* (* y (+ z x)) (* y (+ z x))))
24.8b	(/ (- (* x x) (* (* y (+ z x)) (* y (+ z x)))) (- x (* y (+ z x))))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
18×	`add-cbrt-cube` `add-exp-log`
17×	`pow-prod-down`
14×	`associate-*r/`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
6×	`flip3-+` `flip-+` `associate--r+`
5×	`difference-of-squares`
4×	`frac-times` `flip3--` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`associate-/r*`
2×	`sub-neg` `pow-plus` `diff-log` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `*-commutative` `div-inv`

Counts

4 → 113

Calls

4 calls:

4.0ms	(- x (* y (+ z x)))
58.0ms	(* (* y (+ z x)) (* y (+ z x)))
11.0ms	(- (* x x) (* (* y (+ z x)) (* y (+ z x))))
26.0ms	(/ (- (* x x) (* (* y (+ z x)) (* y (+ z x)))) (- x (* y (+ z x))))

series416.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- x (* y (+ z x)))
52.0ms	(* (* y (+ z x)) (* y (+ z x)))
114.0ms	(- (* x x) (* (* y (+ z x)) (* y (+ z x))))
200.0ms	(/ (- (* x x) (* (* y (+ z x)) (* y (+ z x)))) (- x (* y (+ z x))))

simplify1.9s

Counts

125 → 125

Iterations

Iter	Nodes
done	5002
2	3699
1	571
0	178

prune599.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes181.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample1.0s

Algorithm

intervals

Results

302.0ms

10095×

body

valid