Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

288×

body

valid

simplify72.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* y z))
0.0b	(- t (* a z))
12.1b	(/ (- x (* y z)) (- t (* a z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

5.0ms	(- x (* y z))
5.0ms	(- t (* a z))
25.0ms	(/ (- x (* y z)) (- t (* a z)))

series130.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- x (* y z))
36.0ms	(- t (* a z))
63.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify78.0ms

Counts: 65 → 65

prune176.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 12.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* y z))
0.0b	(- t (* a z))
0.4b	(/ 1 (- t (* a z)))
11.9b	(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
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-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 → 99

Calls

4 calls:

5.0ms	(- x (* y z))
5.0ms	(- t (* a z))
10.0ms	(/ 1 (- t (* a z)))
35.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

series183.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- x (* y z))
33.0ms	(- t (* a z))
53.0ms	(/ 1 (- t (* a z)))
66.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify40.0ms

Counts: 111 → 111

prune244.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 12.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* y z))
0.0b	(- t (* a z))
0.5b	(/ 1 (/ (- t (* a z)) (- x (* y z))))
12.1b	(/ (- t (* a z)) (- x (* y z)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 140

Calls

4 calls:

5.0ms	(- x (* y z))
10.0ms	(- t (* a z))
18.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
17.0ms	(/ (- t (* a z)) (- x (* y z)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- x (* y z))
32.0ms	(- t (* a z))
211.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
62.0ms	(/ (- t (* a z)) (- x (* y z)))

simplify54.0ms

Counts: 152 → 152

prune295.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 12.0b

localize16.0ms

Local error

Found 4 expressions with local error:

4.9b	(/ (cbrt (- x (* y z))) (- t (* a z)))
7.7b	(cbrt (- x (* y z)))
7.7b	(cbrt (- x (* y z)))
7.7b	(cbrt (- x (* y z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`cbrt-prod`
18×	`times-frac`
8×	`cbrt-div`
6×	`add-exp-log` `associate-/l*`
5×	`flip3--` `add-cbrt-cube` `flip--`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 82

Calls

4 calls:

16.0ms	(/ (cbrt (- x (* y z))) (- t (* a z)))
3.0ms	(cbrt (- x (* y z)))
3.0ms	(cbrt (- x (* y z)))
3.0ms	(cbrt (- x (* y z)))

series581.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(/ (cbrt (- x (* y z))) (- t (* a z)))
129.0ms	(cbrt (- x (* y z)))
127.0ms	(cbrt (- x (* y z)))
124.0ms	(cbrt (- x (* y z)))

simplify91.0ms

Counts: 94 → 94

prune318.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 12.0b

regimes220.0ms

Accuracy

0% (0.4b remaining)

Error of 10.9b against oracle of 10.4b and baseline of 10.9b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample867.0ms

Algorithm

intervals

Results

406.0ms

8706×

body

valid