Details

sample33.0ms

Algorithm

intervals

Results

7.0ms

299×

body

valid

simplify153.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	86
5	86
4	79
3	52
2	24
1	11
0	7

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize29.0ms

Local error

Found 1 expressions with local error:

4.1b	(* x (- 1.0 (* y z)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`prod-diff`
5×	`distribute-rgt-in` `*-un-lft-identity` `distribute-lft-in` `add-cube-cbrt`
3×	`pow1` `add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 33

Calls

1 calls:

49.0ms

(* x (- 1.0 (* y z)))

series86.0ms

Counts

1 → 3

Calls

1 calls:

86.0ms

(* x (- 1.0 (* y z)))

simplify3.5s

Counts

36 → 36

Iterations

Iter	Nodes
done	5002
3	1793
2	478
1	158
0	71

prune355.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.2b

localize13.0ms

Local error

Found 1 expressions with local error:

4.1b	(* (- 1.0 (* y z)) x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

31.0ms

(* (- 1.0 (* y z)) x)

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

(* (- 1.0 (* y z)) x)

simplify3.5s

Counts

26 → 26

Iterations

Iter	Nodes
done	5001
3	1509
2	395
1	122
0	50

prune398.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.2b

localize85.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (* (cbrt (- 1.0 (* y z))) x))
4.3b	(cbrt (- 1.0 (* y z)))
4.3b	(cbrt (- 1.0 (* y z)))
4.3b	(cbrt (- 1.0 (* y z)))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3--` `flip--`
28×	`frac-times`
16×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 99

Calls

4 calls:

155.0ms	(* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (* (cbrt (- 1.0 (* y z))) x))
14.0ms	(cbrt (- 1.0 (* y z)))
9.0ms	(cbrt (- 1.0 (* y z)))
10.0ms	(cbrt (- 1.0 (* y z)))

series1.6s

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (* (cbrt (- 1.0 (* y z))) x))
516.0ms	(cbrt (- 1.0 (* y z)))
497.0ms	(cbrt (- 1.0 (* y z)))
512.0ms	(cbrt (- 1.0 (* y z)))

simplify6.8s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
3	4426
2	1309
1	474
0	167

prune1.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.2b

localize103.0ms

Local error

Found 4 expressions with local error:

4.3b	(cbrt (- 1.0 (* y z)))
4.3b	(cbrt (+ 1.0 (* y z)))
5.0b	(/ (* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (* (cbrt (- (* 1.0 1.0) (* (* y z) (* y z)))) x)) (cbrt (+ 1.0 (* y z))))
11.0b	(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))

rewrite281.0ms

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-div`
32×	`associate-*l/`
29×	`flip3--` `flip--`
28×	`frac-times`
26×	`associate-/l/`
22×	`add-exp-log`
16×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
8×	`prod-exp` `associate-*r/` `cbrt-unprod`
6×	`associate-/r*` `times-frac`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*` `difference-of-squares`

Counts

4 → 113

Calls

4 calls:

10.0ms	(cbrt (- 1.0 (* y z)))
9.0ms	(cbrt (+ 1.0 (* y z)))
224.0ms	(/ (* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (* (cbrt (- (* 1.0 1.0) (* (* y z) (* y z)))) x)) (cbrt (+ 1.0 (* y z))))
13.0ms	(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))

series2.0s

Counts

4 → 12

Calls

4 calls:

510.0ms	(cbrt (- 1.0 (* y z)))
416.0ms	(cbrt (+ 1.0 (* y z)))
805.0ms	(/ (* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (* (cbrt (- (* 1.0 1.0) (* (* y z) (* y z)))) x)) (cbrt (+ 1.0 (* y z))))
271.0ms	(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))

simplify5.1s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	2557
1	752
0	282

prune2.3s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 4.2b

regimes1.6s

Accuracy

0% (0.1b remaining)

Error of 3.4b against oracle of 3.2b and baseline of 3.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample820.0ms

Algorithm

intervals

Results

340.0ms

9612×

body

valid