Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

318×

body

valid

simplify52.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	24	7
3	46	7
4	63	7
5	67	7
done	67	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize9.0ms

Local error

Found 1 expressions with local error:

2.4b	(* x (- 1.0 (* y z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

32.0ms

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

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

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

simplify1.5s

Counts

27 → 27

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	51	267
1	122	264
2	341	232
3	1246	232
done	5001	232

prune65.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.5b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

72.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
5.0ms	(cbrt (- 1.0 (* y z)))
5.0ms	(cbrt (- 1.0 (* y z)))
5.0ms	(cbrt (- 1.0 (* y z)))

series1.3s

Counts

4 → 12

Calls

4 calls:

163.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
319.0ms	(cbrt (- 1.0 (* y z)))
524.0ms	(cbrt (- 1.0 (* y z)))
303.0ms	(cbrt (- 1.0 (* y z)))

simplify1.6s

Counts

78 → 78

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	136	1519
1	338	1455
2	987	1334
3	3182	1146
done	5001	1100

prune322.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* x (- 1.0 (* y z))))
2.4b	(* x (- 1.0 (* y z)))
2.4b	(* x (- 1.0 (* y z)))
2.4b	(* x (- 1.0 (* y z)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

9.0ms	(cbrt (* x (- 1.0 (* y z))))
26.0ms	(* x (- 1.0 (* y z)))
27.0ms	(* x (- 1.0 (* y z)))
33.0ms	(* x (- 1.0 (* y z)))

series354.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (* x (- 1.0 (* y z))))
71.0ms	(* x (- 1.0 (* y z)))
70.0ms	(* x (- 1.0 (* y z)))
72.0ms	(* x (- 1.0 (* y z)))

simplify1.2s

Counts

95 → 95

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	96	1000
1	220	984
2	600	870
3	2039	860
done	5000	851

prune265.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 2.5b

localize27.0ms

Local error

Found 4 expressions with local error:

2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (+ 1.0 (* y z)))
11.8b	(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--`
1×	`flip3-+` `flip-+` `difference-of-squares`

Counts

4 → 53

Calls

4 calls:

4.0ms	(cbrt (- 1.0 (* y z)))
4.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (+ 1.0 (* y z)))
9.0ms	(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))

series948.0ms

Counts

4 → 12

Calls

4 calls:

309.0ms	(cbrt (- 1.0 (* y z)))
269.0ms	(cbrt (- 1.0 (* y z)))
213.0ms	(cbrt (+ 1.0 (* y z)))
157.0ms	(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))

simplify1.1s

Counts

65 → 65

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	149	1268
1	378	1200
2	1274	1107
done	5001	950

prune346.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 2.5b

regimes258.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.2b and baseline of 3.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	9	7
done	9	7

end0.0ms

sample771.0ms

Algorithm

intervals

Results

384.0ms

9617×

body

valid