Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

276×

body

valid

simplify521.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	631
6	205
5	108
4	80
3	52
2	38
1	19
0	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* y z))
0.0b	(- t (* a z))
13.7b	(/ (- x (* y z)) (- t (* a z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
4×	`flip3--` `flip--`
3×	`pow1` `associate-/r` `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 → 56

Calls

3 calls:

4.0ms	(- x (* y z))
6.0ms	(- t (* a z))
14.0ms	(/ (- x (* y z)) (- t (* a z)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- x (* y z))
41.0ms	(- t (* a z))
101.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify1.0s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
2	992
1	258
0	96

prune422.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 13.7b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* y z))
0.0b	(- t (* a z))
0.6b	(/ 1 (/ (- t (* a z)) (- x (* y z))))
13.4b	(/ (- t (* a z)) (- x (* y z)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`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×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv`
2×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `diff-log` `1-exp` `associate-/l/`
1×	`div-sub` `pow-flip` `inv-pow`

Counts

4 → 140

Calls

4 calls:

4.0ms	(- x (* y z))
4.0ms	(- t (* a z))
15.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
14.0ms	(/ (- t (* a z)) (- x (* y z)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- x (* y z))
41.0ms	(- t (* a z))
247.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
82.0ms	(/ (- t (* a z)) (- x (* y z)))

simplify1.7s

Counts

152 → 152

Iterations

Iter	Nodes
done	5001
2	2911
1	553
0	204

prune728.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 13.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* y z))
0.0b	(- t (* a z))
0.4b	(/ 1 (- t (* a z)))
13.5b	(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`times-frac` `add-cube-cbrt`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
6×	`flip3--` `flip--`
4×	`div-exp` `prod-exp` `associate-/r/`
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 → 99

Calls

4 calls:

6.0ms	(- x (* y z))
6.0ms	(- t (* a z))
12.0ms	(/ 1 (- t (* a z)))
48.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

series220.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- x (* y z))
45.0ms	(- t (* a z))
56.0ms	(/ 1 (- t (* a z)))
70.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify3.7s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	2639
1	355
0	135

prune568.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 13.7b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* a z))
0.5b	(/ 1 (- x (* y z)))
0.6b	(/ 1 (* (- t (* a z)) (/ 1 (- x (* y z)))))
13.3b	(* (- t (* a z)) (/ 1 (- x (* y z))))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
29×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `times-frac`
22×	`add-cube-cbrt`
20×	`add-cbrt-cube` `div-exp`
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×	`frac-times` `associate-/r` `associate-l/` `cbrt-unprod`
3×	`associate-l` `div-inv` `pow-flip` `unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-*r/` `un-div-inv` `inv-pow`
1×	`sub-neg` `diff-log` `*-commutative`

Counts

4 → 131

Calls

4 calls:

6.0ms	(- t (* a z))
12.0ms	(/ 1 (- x (* y z)))
34.0ms	(/ 1 (* (- t (* a z)) (/ 1 (- x (* y z)))))
46.0ms	(* (- t (* a z)) (/ 1 (- x (* y z))))

series462.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- t (* a z))
52.0ms	(/ 1 (- x (* y z)))
288.0ms	(/ 1 (* (- t (* a z)) (/ 1 (- x (* y z)))))
88.0ms	(* (- t (* a z)) (/ 1 (- x (* y z))))

simplify2.9s

Counts

143 → 143

Iterations

Iter	Nodes
done	5000
2	3315
1	466
0	165

prune698.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 13.7b

regimes803.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.1s

Algorithm

intervals

Results

494.0ms

8739×

body

valid