Details

sample40.0ms

Algorithm

intervals

Results

17.0ms

321×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
8	2662
7	1716
6	872
5	387
4	171
3	84
2	34
1	14
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
3.6b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-l*`
6×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 46

Calls

2 calls:

17.0ms	(* (- 1.0 y) z)
13.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* (- 1.0 y) z)
65.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify2.7s

Counts

52 → 52

Iterations

Iter	Nodes
done	5001
3	3178
2	680
1	226
0	93

prune235.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 x) (* z (- (* x y) (* 1.0 x))))
2.2b	(* z (- (* x y) (* 1.0 x)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

9.0ms	(+ (* 1.0 x) (* z (- (* x y) (* 1.0 x))))
39.0ms	(* z (- (* x y) (* 1.0 x)))

series190.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(+ (* 1.0 x) (* z (- (* x y) (* 1.0 x))))
104.0ms	(* z (- (* x y) (* 1.0 x)))

simplify2.8s

Counts

45 → 45

Iterations

Iter	Nodes
done	5002
3	3357
2	715
1	225
0	78

prune264.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 x) (* (* z x) (- y 1.0)))
3.2b	(* (* z x) (- y 1.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

8.0ms	(+ (* 1.0 x) (* (* z x) (- y 1.0)))
31.0ms	(* (* z x) (- y 1.0))

series149.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(+ (* 1.0 x) (* (* z x) (- y 1.0)))
73.0ms	(* (* z x) (- y 1.0))

simplify3.2s

Counts

47 → 47

Iterations

Iter	Nodes
done	5001
3	4984
2	977
1	267
0	90

prune184.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- y 1.0))
0.2b	(cbrt (- y 1.0))
0.6b	(* (* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.6b	(* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
42×	`associate-*r/`
35×	`flip3--` `flip--`
34×	`pow1` `add-exp-log`
32×	`frac-times`
21×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`associate-*l/`
15×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`associate-r`
8×	`add-cube-cbrt`
4×	`add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 118

Calls

4 calls:

3.0ms	(cbrt (- y 1.0))
3.0ms	(cbrt (- y 1.0))
169.0ms	(* (* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
48.0ms	(* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series546.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (- y 1.0))
114.0ms	(cbrt (- y 1.0))
77.0ms	(* (* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
223.0ms	(* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify2.1s

Counts

130 → 130

Iterations

Iter	Nodes
done	5030
2	2190
1	655
0	236

prune670.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes454.0ms

Accuracy

95.9% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	32
1	32
0	23

end0.0ms

sample1.1s

Algorithm

intervals

Results

445.0ms

10214×

body

valid