Details

sample34.0ms

Algorithm

intervals

Results

14.0ms

289×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5062
9	3430
8	730
7	300
6	170
5	118
4	88
3	60
2	38
1	19
0	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.3b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
9.9b	(/ (- x (* y z)) (- t (* a z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

5.0ms	(- t (* a z))
5.0ms	(- x (* y z))
18.0ms	(/ (- x (* y z)) (- t (* a z)))

series139.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- t (* a z))
32.0ms	(- x (* y z))
64.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify1.9s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
3	3375
2	966
1	304
0	120

prune573.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 10.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
0.1b	(/ 1 (- t (* a z)))
10.0b	(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
20×	`times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
6×	`flip3--` `fma-neg` `prod-diff` `flip--`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `log1p-expm1-u`
3×	`associate-/r` `associate-l` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `sub-neg` `diff-log` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 119

Calls

4 calls:

9.0ms	(- t (* a z))
7.0ms	(- x (* y z))
8.0ms	(/ 1 (- t (* a z)))
32.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

series270.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- t (* a z))
44.0ms	(- x (* y z))
65.0ms	(/ 1 (- t (* a z)))
111.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify3.1s

Counts

131 → 131

Iterations

Iter	Nodes
done	5001
3	3369
2	1090
1	396
0	161

prune847.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 10.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
0.3b	(/ 1 (/ (- t (* a z)) (- x (* y z))))
9.9b	(/ (- t (* a z)) (- x (* y z)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
60×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`add-cbrt-cube` `associate-/r/`
8×	`flip3--` `div-exp` `flip--` `add-log-exp`
6×	`fma-neg` `prod-diff` `div-inv` `associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `log1p-expm1-u`
2×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `diff-log` `1-exp` `associate-/l/`
1×	`div-sub` `pow-flip` `inv-pow`

Counts

4 → 160

Calls

4 calls:

5.0ms	(- t (* a z))
5.0ms	(- x (* y z))
30.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
17.0ms	(/ (- t (* a z)) (- x (* y z)))

series444.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- t (* a z))
33.0ms	(- x (* y z))
301.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
74.0ms	(/ (- t (* a z)) (- x (* y z)))

simplify1.4s

Counts

172 → 172

Iterations

Iter	Nodes
done	5000
2	1561
1	597
0	230

prune1.0s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 10.0b

localize44.0ms

Local error

Found 4 expressions with local error:

3.3b	(* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (/ (cbrt (- x (* y z))) (- t (* z a))))
8.1b	(cbrt (- x (* y z)))
8.1b	(cbrt (- x (* y z)))
8.1b	(cbrt (- x (* y z)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
25×	`add-sqr-sqrt`
24×	`associate-r`
20×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
19×	`cbrt-prod`
16×	`frac-times` `flip3--` `add-exp-log` `flip--`
12×	`associate-*l/`
10×	`add-cbrt-cube`
9×	`pow1`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-/r/`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 110

Calls

4 calls:

75.0ms	(* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (/ (cbrt (- x (* y z))) (- t (* z a))))
2.0ms	(cbrt (- x (* y z)))
2.0ms	(cbrt (- x (* y z)))
4.0ms	(cbrt (- x (* y z)))

series549.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (/ (cbrt (- x (* y z))) (- t (* z a))))
154.0ms	(cbrt (- x (* y z)))
144.0ms	(cbrt (- x (* y z)))
142.0ms	(cbrt (- x (* y z)))

simplify1.6s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	1850
1	573
0	203

prune1.0s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 10.0b

regimes617.0ms

Accuracy

0% (0.4b remaining)

Error of 10.6b against oracle of 10.2b and baseline of 10.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample1.0s

Algorithm

intervals

Results

554.0ms

8682×

body

valid