Details

sample52.0ms

Algorithm

intervals

Results

20.0ms

279×

body

valid

simplify734.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	19	11
2	38	11
3	60	11
4	88	11
5	122	11
6	223	11
7	668	11
done	5000	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* y z))
0.0b	(- t (* a z))
11.4b	(/ (- x (* y z)) (- t (* a z)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

10.0ms	(- x (* y z))
11.0ms	(- t (* a z))
33.0ms	(/ (- x (* y z)) (- t (* a z)))

series224.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- x (* y z))
54.0ms	(- t (* a z))
112.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify1.1s

Counts

83 → 83

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	120	1022
1	304	996
2	1295	907
done	5000	897

prune685.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 11.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* y z))
0.0b	(- t (* a z))
0.6b	(/ 1 (- t (* a z)))
10.8b	(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite114.0ms

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-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `sub-neg` `rec-exp` `diff-log` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 119

Calls

4 calls:

9.0ms	(- x (* y z))
11.0ms	(- t (* a z))
25.0ms	(/ 1 (- t (* a z)))
63.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

series289.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- x (* y z))
54.0ms	(- t (* a z))
79.0ms	(/ 1 (- t (* a z)))
96.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify3.4s

Counts

131 → 131

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	161	1607
1	401	1487
2	2414	1280
done	5001	1270

prune740.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 11.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* z y))
0.0b	(- t (* a z))
0.6b	(/ 1 (/ (- t (* a z)) (- x (* z y))))
11.4b	(/ (- t (* a z)) (- x (* z y)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 160

Calls

4 calls:

9.0ms	(- x (* z y))
9.0ms	(- t (* a z))
35.0ms	(/ 1 (/ (- t (* a z)) (- x (* z y))))
27.0ms	(/ (- t (* a z)) (- x (* z y)))

series540.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- x (* z y))
47.0ms	(- t (* a z))
336.0ms	(/ 1 (/ (- t (* a z)) (- x (* z y))))
103.0ms	(/ (- t (* a z)) (- x (* z y)))

simplify1.8s

Counts

172 → 172

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	230	3108
1	600	2848
2	3518	2634
done	5001	2624

prune910.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 11.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* a z))
0.4b	(/ 1 (- x (* z y)))
0.6b	(/ 1 (- t (* a z)))
10.4b	(/ (/ 1 (- t (* a z))) (/ 1 (- x (* z y))))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

531×	`times-frac`
246×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
69×	`associate-/r/`
52×	`add-exp-log`
36×	`div-exp`
35×	`flip3--` `flip--` `div-inv`
21×	`associate-/r` `associate-/l`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `fma-neg` `prod-diff` `clear-num`
2×	`pow-flip` `inv-pow`
1×	`sub-neg` `diff-log` `associate-/l/`

Counts

4 → 379

Calls

4 calls:

10.0ms	(- t (* a z))
17.0ms	(/ 1 (- x (* z y)))
15.0ms	(/ 1 (- t (* a z)))
68.0ms	(/ (/ 1 (- t (* a z))) (/ 1 (- x (* z y))))

series580.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- t (* a z))
87.0ms	(/ 1 (- x (* z y)))
82.0ms	(/ 1 (- t (* a z)))
347.0ms	(/ (/ 1 (- t (* a z))) (/ 1 (- x (* z y))))

simplify1.3s

Counts

391 → 391

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	547	10831
1	1836	9185
done	5001	8496

prune1.4s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 11.2b

regimes854.0ms

Accuracy

0% (0.3b remaining)

Error of 10.6b against oracle of 10.3b and baseline of 10.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample1.8s

Algorithm

intervals

Results

671.0ms

8783×

body

valid