Details

sample38.0ms

Algorithm

intervals

Results

17.0ms

276×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	1914
8	811
7	428
6	259
5	148
4	96
3	60
2	35
1	17
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
10.6b	(/ (* (- y z) t) (- a z))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
5×	`pow1` `associate-/r` `times-frac` `associate-l*` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

30.0ms	(+ x (/ (* (- y z) t) (- a z)))
28.0ms	(* (- y z) t)
20.0ms	(/ (* (- y z) t) (- a z))

series241.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(+ x (/ (* (- y z) t) (- a z)))
47.0ms	(* (- y z) t)
90.0ms	(/ (* (- y z) t) (- a z))

simplify1.5s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
2	1683
1	334
0	124

prune391.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
173×	`*-un-lft-identity`
171×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

3 → 188

Calls

3 calls:

51.0ms	(+ x (/ (- y z) (/ (- a z) t)))
13.0ms	(/ (- a z) t)
24.0ms	(/ (- y z) (/ (- a z) t))

series263.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(+ x (/ (- y z) (/ (- a z) t)))
30.0ms	(/ (- a z) t)
126.0ms	(/ (- y z) (/ (- a z) t))

simplify1.6s

Counts

197 → 197

Iterations

Iter	Nodes
done	5002
2	4122
1	862
0	273

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
3.9b	(/ (cbrt (- y z)) (/ (cbrt (- a z)) t))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

440×	`times-frac`
318×	`add-sqr-sqrt` `*-un-lft-identity`
295×	`cbrt-prod`
200×	`add-cube-cbrt`
59×	`distribute-lft-out--` `difference-of-squares`
28×	`associate-/r*`
10×	`div-inv`
9×	`add-exp-log`
8×	`cbrt-div` `associate-/l*`
6×	`add-cbrt-cube`
4×	`pow1` `flip3--` `flip--` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`associate-/l/`
1×	`clear-num` `frac-2neg` `associate-/r/`

Counts

4 → 322

Calls

4 calls:

3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
5.0ms	(cbrt (- y z))
32.0ms	(/ (cbrt (- y z)) (/ (cbrt (- a z)) t))

series2.0s

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (- y z))
201.0ms	(cbrt (- y z))
188.0ms	(cbrt (- y z))
1.4s	(/ (cbrt (- y z)) (/ (cbrt (- a z)) t))

simplify1.5s

Counts

334 → 334

Iterations

Iter	Nodes
done	5001
1	1175
0	456

prune2.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ (- y z) (- a z)) t))
0.0b	(/ (- y z) (- a z))
3.3b	(* (/ (- y z) (- a z)) t)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

7.0ms	(+ x (* (/ (- y z) (- a z)) t))
19.0ms	(/ (- y z) (- a z))
59.0ms	(* (/ (- y z) (- a z)) t)

series332.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(+ x (* (/ (- y z) (- a z)) t))
81.0ms	(/ (- y z) (- a z))
156.0ms	(* (/ (- y z) (- a z)) t)

simplify1.3s

Counts

122 → 122

Iterations

Iter	Nodes
done	5002
2	1726
1	444
0	167

prune703.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes477.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	15

end0.0ms

sample856.0ms

Algorithm

intervals

Results

482.0ms	8715×	body	80	valid
0.0ms	1×	body	160	valid