Details

sample71.0ms

Algorithm

intervals

Results

34.0ms

357×

body

valid

simplify6.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	2434
8	2434
7	2422
6	2265
5	1670
4	779
3	289
2	90
1	27
0	13

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.4b	(* (* z 9.0) t)
7.4b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

7.0ms	(- (* x y) (* (* z 9.0) t))
23.0ms	(* (* z 9.0) t)
27.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series198.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- (* x y) (* (* z 9.0) t))
26.0ms	(* (* z 9.0) t)
108.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.4s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	1770
1	352
0	127

prune590.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* 9.0 (* t z)))
0.2b	(* 9.0 (* t z))
7.4b	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

14.0ms	(- (* x y) (* 9.0 (* t z)))
25.0ms	(* 9.0 (* t z))
29.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series241.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(- (* x y) (* 9.0 (* t z)))
35.0ms	(* 9.0 (* t z))
129.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify1.7s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	1542
1	336
0	122

prune611.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.5b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* 9.0 (* t z)))
0.2b	(* 9.0 (* t z))
7.4b	(* (- (* x y) (* 9.0 (* t z))) (/ 1 (* a 2.0)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

8.0ms	(- (* x y) (* 9.0 (* t z)))
14.0ms	(* 9.0 (* t z))
47.0ms	(* (- (* x y) (* 9.0 (* t z))) (/ 1 (* a 2.0)))

series266.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(- (* x y) (* 9.0 (* t z)))
47.0ms	(* 9.0 (* t z))
112.0ms	(* (- (* x y) (* 9.0 (* t z))) (/ 1 (* a 2.0)))

simplify1.5s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	2003
1	403
0	150

prune575.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 7.5b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z (* 9.0 t)))
0.5b	(* z (* 9.0 t))
7.4b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

13.0ms	(- (* x y) (* z (* 9.0 t)))
17.0ms	(* z (* 9.0 t))
27.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series193.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(- (* x y) (* z (* 9.0 t)))
34.0ms	(* z (* 9.0 t))
83.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify1.5s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1576
1	341
0	125

prune508.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.5b

regimes1.9s

Accuracy

0% (0.5b remaining)

Error of 7.7b against oracle of 7.1b and baseline of 7.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	15

end0.0ms

sample2.0s

Algorithm

intervals

Results

916.0ms

11186×

body

valid