Details

sample49.0ms

Algorithm

intervals

Results

21.0ms

357×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	1597
8	1597
7	1569
6	1531
5	1250
4	720
3	283
2	88
1	27
0	13

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize18.0ms

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))

rewrite73.0ms

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:

12.0ms	(- (* x y) (* (* z 9.0) t))
25.0ms	(* (* z 9.0) t)
33.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series239.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(- (* x y) (* (* z 9.0) t))
23.0ms	(* (* z 9.0) t)
120.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.8s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1251
1	352
0	127

prune560.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.5b

localize22.0ms

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))

rewrite68.0ms

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:

12.0ms	(- (* x y) (* 9.0 (* t z)))
24.0ms	(* 9.0 (* t z))
30.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series226.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(- (* x y) (* 9.0 (* t z)))
24.0ms	(* 9.0 (* t z))
97.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify2.2s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	1307
1	336
0	122

prune549.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.5b

localize39.0ms

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)))

rewrite104.0ms

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:

7.0ms	(- (* x y) (* 9.0 (* t z)))
13.0ms	(* 9.0 (* t z))
81.0ms	(* (- (* x y) (* 9.0 (* t z))) (/ 1 (* a 2.0)))

series256.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(- (* x y) (* 9.0 (* t z)))
35.0ms	(* 9.0 (* t z))
129.0ms	(* (- (* x y) (* 9.0 (* t z))) (/ 1 (* a 2.0)))

simplify1.6s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1408
1	392
0	150

prune522.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 7.5b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

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) (* (* 9.0 t) z))
21.0ms	(* (* 9.0 t) z)
20.0ms	(/ (- (* x y) (* (* 9.0 t) z)) (* a 2.0))

series215.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(- (* x y) (* (* 9.0 t) z))
31.0ms	(* (* 9.0 t) z)
90.0ms	(/ (- (* x y) (* (* 9.0 t) z)) (* a 2.0))

simplify3.3s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
3	4953
2	1300
1	357
0	126

prune494.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.5b

regimes1.7s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	22
1	22
0	15

end0.0ms

sample1.8s

Algorithm

intervals

Results

833.0ms

11186×

body

valid