Details

sample37.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify18.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	28
3	28
2	24
1	16
0	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `associate-/r` `associate-r` `associate-l` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

15.0ms	(* 1.1283791670955126 (exp z))
15.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
24.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series181.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* 1.1283791670955126 (exp z))
61.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
102.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify876.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	1063
1	306
0	129

prune461.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.4b

localize67.0ms

Local error

Found 4 expressions with local error:

1.6b	(/ (* (cbrt y) (cbrt y)) (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
9.0b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
9.0b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
9.0b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`add-exp-log`
9×	`cbrt-prod` `flip3--` `flip--`
8×	`add-cbrt-cube` `associate-/r/`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `frac-times` `pow1` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`associate-l/` `associate-r/`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `div-inv` `associate-/l`

Counts

4 → 76

Calls

4 calls:

37.0ms	(/ (* (cbrt y) (cbrt y)) (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
8.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
11.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
9.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

series776.0ms

Counts

4 → 12

Calls

4 calls:

307.0ms	(/ (* (cbrt y) (cbrt y)) (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
151.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
169.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
149.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.5s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
2	1889
1	492
0	178

prune686.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.4b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
9.0b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
9.0b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
9.0b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `flip--`

Counts

4 → 58

Calls

4 calls:

1.0ms	(cbrt y)
7.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
9.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
18.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

series717.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(cbrt y)
159.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
159.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
148.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.5s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
3	2662
2	636
1	213
0	90

prune500.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.4b

localize87.0ms

Local error

Found 4 expressions with local error:

1.6b	(/ (* (cbrt y) (cbrt y)) (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
9.0b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
9.0b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
9.1b	(pow (- (* 1.1283791670955126 (exp z)) (* x y)) 1/3)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
16×	`cbrt-div`
8×	`add-sqr-sqrt` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `associate-/r/` `add-cube-cbrt` `flip--`
6×	`cbrt-prod`
5×	`pow1`
4×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow1/3` `associate-l/` `associate-r/`
1×	`pow-to-exp` `clear-num` `associate-/r` `pow-pow` `frac-2neg` `times-frac` `unpow1/3` `pow-exp` `div-inv` `associate-/l` `sqr-pow`

Counts

4 → 81

Calls

4 calls:

42.0ms	(/ (* (cbrt y) (cbrt y)) (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
9.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
7.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
14.0ms	(pow (- (* 1.1283791670955126 (exp z)) (* x y)) 1/3)

series681.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(/ (* (cbrt y) (cbrt y)) (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
129.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
151.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
162.0ms	(pow (- (* 1.1283791670955126 (exp z)) (* x y)) 1/3)

simplify1.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
2	2767
1	623
0	203

prune726.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.4b

regimes421.0ms

Accuracy

0% (1.3b remaining)

Error of 3.1b against oracle of 1.8b and baseline of 3.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	23
1	23
0	17

end0.0ms

sample1.3s

Algorithm

intervals

Results

921.0ms

8001×

body

valid