Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

304×

body

valid

simplify44.0ms

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	67	7
5	71	7
done	71	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize6.0ms

Local error

Found 1 expressions with local error:

2.7b	(* x (- 1.0 (* y z)))

rewrite28.0ms

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:

27.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify1.3s

Counts

27 → 27

Iterations

Useful iterations: 3 (607.0ms)

Iter	Nodes	Cost
0	51	267
1	132	264
2	529	234
3	2615	232
done	5000	232

prune81.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
2.8b	(cbrt (- 1.0 (* y z)))
2.8b	(cbrt (- 1.0 (* y z)))
2.8b	(cbrt (- 1.0 (* y z)))

rewrite89.0ms

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:

71.0ms	(* 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)))

series918.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
280.0ms	(cbrt (- 1.0 (* y z)))
272.0ms	(cbrt (- 1.0 (* y z)))
261.0ms	(cbrt (- 1.0 (* y z)))

simplify638.0ms

Counts

78 → 78

Iterations

Useful iterations: done (635.0ms)

Iter	Nodes	Cost
0	136	1519
1	342	1455
2	1159	1334
done	5000	1164

prune315.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 2.7b

localize24.0ms

Local error

Found 4 expressions with local error:

2.8b	(cbrt (- 1.0 (* y z)))
2.8b	(cbrt (- 1.0 (* y z)))
2.8b	(cbrt (- 1.0 (* y z)))
2.8b	(cbrt (- 1.0 (* y z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt (- 1.0 (* y z)))
4.0ms	(cbrt (- 1.0 (* y z)))
4.0ms	(cbrt (- 1.0 (* y z)))
5.0ms	(cbrt (- 1.0 (* y z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt (- 1.0 (* y z)))
234.0ms	(cbrt (- 1.0 (* y z)))
292.0ms	(cbrt (- 1.0 (* y z)))
306.0ms	(cbrt (- 1.0 (* y z)))

simplify505.0ms

Counts

64 → 64

Iterations

Useful iterations: done (502.0ms)

Iter	Nodes	Cost
0	79	1248
1	198	1192
2	758	1120
done	5000	904

prune391.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 2.7b

localize32.0ms

Local error

Found 4 expressions with local error:

2.8b	(cbrt (- 1.0 (* y z)))
2.8b	(cbrt (- 1.0 (* y z)))
2.8b	(cbrt (- 1.0 (* y z)))
2.8b	(cbrt (- 1.0 (* y z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
5.0ms	(cbrt (- 1.0 (* y z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

301.0ms	(cbrt (- 1.0 (* y z)))
241.0ms	(cbrt (- 1.0 (* y z)))
260.0ms	(cbrt (- 1.0 (* y z)))
297.0ms	(cbrt (- 1.0 (* y z)))

simplify524.0ms

Counts

64 → 64

Iterations

Useful iterations: done (520.0ms)

Iter	Nodes	Cost
0	79	1248
1	198	1192
2	758	1120
done	5000	904

prune375.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 2.7b

regimes248.0ms

Accuracy

0% (0.1b remaining)

Error of 2.9b against oracle of 2.8b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample804.0ms

Algorithm

intervals

Results

345.0ms

9599×

body

valid