Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

289×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
9	3311
8	723
7	277
6	156
5	104
4	80
3	52
2	38
1	19
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.3b

localize15.0ms

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)))

rewrite37.0ms

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:

8.0ms	(- t (* a z))
8.0ms	(- x (* y z))
19.0ms	(/ (- x (* y z)) (- t (* a z)))

series195.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- t (* a z))
53.0ms	(- x (* y z))
97.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify2.1s

Counts

65 → 65

Iterations

Iter	Nodes
done	5002
3	2637
2	809
1	258
0	96

prune466.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 10.0b

localize19.0ms

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))))

rewrite72.0ms

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:

7.0ms	(- t (* a z))
7.0ms	(- x (* y z))
15.0ms	(/ 1 (- t (* a z)))
39.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

series207.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- t (* a z))
36.0ms	(- x (* y z))
61.0ms	(/ 1 (- t (* a z)))
71.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify2.6s

Counts

111 → 111

Iterations

Iter	Nodes
done	5043
3	4524
2	1283
1	351
0	135

prune606.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 10.0b

localize28.0ms

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)))

rewrite57.0ms

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	(- t (* a z))
4.0ms	(- x (* y z))
24.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
20.0ms	(/ (- t (* a z)) (- x (* y z)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- t (* a z))
32.0ms	(- x (* y z))
238.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
80.0ms	(/ (- t (* a z)) (- x (* y z)))

simplify1.2s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
2	1521
1	547
0	204

prune787.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 10.0b

localize27.0ms

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)))

rewrite73.0ms

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×	`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 → 102

Calls

4 calls:

62.0ms	(* (* (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)))
3.0ms	(cbrt (- x (* y z)))

series493.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (/ (cbrt (- x (* y z))) (- t (* z a))))
127.0ms	(cbrt (- x (* y z)))
129.0ms	(cbrt (- x (* y z)))
127.0ms	(cbrt (- x (* y z)))

simplify1.7s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	1829
1	563
0	199

prune779.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 10.0b

regimes504.0ms

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

sample1.1s

Algorithm

intervals

Results

719.0ms

8682×

body

valid