Details

sample22.0ms

Algorithm

intervals

Results

7.0ms

277×

body

valid

simplify92.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	38	5
2	60	5
3	88	5
4	122	5
5	175	5
6	625	5
7	4686	5
8	5001	5
done	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (* y z))
9.8b	(/ (- x (* y z)) (- t (* a z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

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

series93.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(- x (* y z))
64.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify97.0ms

Counts

60 → 60

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	254	397
1	873	363
2	3609	361
3	5001	354
done	5001	354

prune168.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 9.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* y z))
0.2b	(/ 1 (- t (* a z)))
9.7b	(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 99

Calls

3 calls:

6.0ms	(- x (* y z))
10.0ms	(/ 1 (- t (* a z)))
36.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

series143.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- x (* y z))
49.0ms	(/ 1 (- t (* a z)))
64.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify47.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	338	667
1	1489	581
2	5001	554
done	5001	554

prune238.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 9.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* y z))
0.4b	(/ 1 (/ (- t (* a z)) (- x (* y z))))
9.8b	(/ (- t (* a z)) (- x (* y z)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 140

Calls

3 calls:

6.0ms	(- x (* y z))
21.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
18.0ms	(/ (- t (* a z)) (- x (* y z)))

series304.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- x (* y z))
212.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
61.0ms	(/ (- t (* a z)) (- x (* y z)))

simplify58.0ms

Counts

149 → 149

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	496	1441
1	2225	1298
2	5002	1210
done	5002	1210

prune301.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 9.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* y z))
0.3b	(/ 1 (- x (* y z)))
0.4b	(/ 1 (* (- t (* a z)) (/ 1 (- x (* y z)))))
9.6b	(* (- t (* a z)) (/ 1 (- x (* y z))))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 145

Calls

4 calls:

6.0ms	(- x (* y z))
10.0ms	(/ 1 (- x (* y z)))
31.0ms	(/ 1 (* (- t (* a z)) (/ 1 (- x (* y z)))))
36.0ms	(* (- t (* a z)) (/ 1 (- x (* y z))))

series355.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- x (* y z))
47.0ms	(/ 1 (- x (* y z)))
212.0ms	(/ 1 (* (- t (* a z)) (/ 1 (- x (* y z)))))
64.0ms	(* (- t (* a z)) (/ 1 (- x (* y z))))

simplify56.0ms

Counts

157 → 157

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	470	1047
1	2140	869
2	5002	829
done	5002	829

prune296.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 9.7b

regimes233.0ms

Accuracy

0% (0.3b remaining)

Error of 10.7b against oracle of 10.4b and baseline of 10.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5
done	12	5

end0.0ms

sample604.0ms

Algorithm

intervals

Results

251.0ms

8763×

body

valid