Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

347×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	26	13
2	88	13
3	275	13
4	669	13
5	1179	13
6	1390	13
7	1409	13
done	1409	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.5b	(- (* x y) (* (* z 9.0) t))
9.3b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

6.0ms	(* (* z 9.0) t)
3.0ms	(- (* x y) (* (* z 9.0) t))
8.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series139.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* (* z 9.0) t)
54.0ms	(- (* x y) (* (* z 9.0) t))
67.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify760.0ms

Counts

63 → 63

Iterations

Useful iterations: 2 (125.0ms)

Iter	Nodes	Cost
0	116	858
1	327	827
2	1288	711
done	5000	711

prune172.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.5b	(- (* x y) (* z (* 9.0 t)))
9.3b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

5.0ms	(* z (* 9.0 t))
2.0ms	(- (* x y) (* z (* 9.0 t)))
8.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series139.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* z (* 9.0 t))
54.0ms	(- (* x y) (* z (* 9.0 t)))
67.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify787.0ms

Counts

63 → 63

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	114	855
1	319	826
2	1226	710
done	5000	710

prune171.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 9.0 (* t z))
0.5b	(+ (* x y) (- (* 9.0 (* t z))))
9.3b	(/ (+ (* x y) (- (* 9.0 (* t z)))) (* a 2.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `div-sub` `associate-l` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `neg-sub0` `associate-+r-` `flip3-+` `div-exp` `unsub-neg` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `frac-2neg` `associate-r` `neg-log` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 59

Calls

3 calls:

5.0ms	(* 9.0 (* t z))
3.0ms	(+ (* x y) (- (* 9.0 (* t z))))
11.0ms	(/ (+ (* x y) (- (* 9.0 (* t z)))) (* a 2.0))

series142.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* 9.0 (* t z))
56.0ms	(+ (* x y) (- (* 9.0 (* t z))))
67.0ms	(/ (+ (* x y) (- (* 9.0 (* t z)))) (* a 2.0))

simplify734.0ms

Counts

68 → 68

Iterations

Useful iterations: done (732.0ms)

Iter	Nodes	Cost
0	118	947
1	336	876
2	1294	747
done	5000	744

prune173.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 9.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.5b	(- (* x y) (* (* z 9.0) t))
9.4b	(* (- (* x y) (* (* z 9.0) t)) (/ 1 (* a 2.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
13×	`prod-exp`
10×	`pow1` `associate-r`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity` `cbrt-unprod`
5×	`add-log-exp`
4×	`div-exp` `associate-l` `pow-prod-down`
3×	`flip3--` `times-frac` `flip--`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-l/` `-commutative`
1×	`sub-neg` `diff-log` `associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

6.0ms	(* (* z 9.0) t)
2.0ms	(- (* x y) (* (* z 9.0) t))
18.0ms	(* (- (* x y) (* (* z 9.0) t)) (/ 1 (* a 2.0)))

series139.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* (* z 9.0) t)
54.0ms	(- (* x y) (* (* z 9.0) t))
67.0ms	(* (- (* x y) (* (* z 9.0) t)) (/ 1 (* a 2.0)))

simplify920.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (190.0ms)

Iter	Nodes	Cost
0	144	1147
1	387	1038
2	1425	882
done	5000	882

prune156.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.4b

regimes573.0ms

Accuracy

0% (0.4b remaining)

Error of 8.0b against oracle of 7.6b and baseline of 8.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	14
1	23	14
2	31	14
done	31	14

end0.0ms

sample722.0ms

Algorithm

intervals

Results

397.0ms

11159×

body

valid