Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

282×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
24	4971
23	4719
22	4472
21	4219
20	3966
19	3718
18	3457
17	3189
16	2922
15	2654
14	2345
13	1967
12	1369
11	756
10	502
9	395
8	317
7	231
6	150
5	116
4	85
3	55
2	33
1	17
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
11.2b	(/ (* (- y z) t) (- a z))

rewrite72.0ms

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:

18.0ms	(+ x (/ (* (- y z) t) (- a z)))
28.0ms	(* (- y z) t)
24.0ms	(/ (* (- y z) t) (- a z))

series241.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(+ x (/ (* (- y z) t) (- a z)))
39.0ms	(* (- y z) t)
91.0ms	(/ (* (- y z) t) (- a z))

simplify1.2s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	1121
1	334
0	124

prune365.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y z) (/ t (- a z))))
9.9b	(* (- y z) (/ t (- a z)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

5.0ms	(+ x (* (- y z) (/ t (- a z))))
38.0ms	(* (- y z) (/ t (- a z)))

series179.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(+ x (* (- y z) (/ t (- a z))))
79.0ms	(* (- y z) (/ t (- a z)))

simplify1.3s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1247
1	352
0	133

prune264.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- y z) (/ (- a z) t)))
0.0b	(/ (- a z) t)
10.4b	(/ (- y z) (/ (- a z) t))

rewrite94.0ms

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:

46.0ms	(+ x (/ (- y z) (/ (- a z) t)))
12.0ms	(/ (- a z) t)
25.0ms	(/ (- y z) (/ (- a z) t))

series270.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(+ x (/ (- y z) (/ (- a z) t)))
34.0ms	(/ (- a z) t)
118.0ms	(/ (- y z) (/ (- a z) t))

simplify1.3s

Counts

197 → 197

Iterations

Iter	Nodes
done	5001
2	2389
1	856
0	273

prune1.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
10.4b	(/ (- y z) (/ (* (cbrt (- a z)) (cbrt (- a z))) (/ t (cbrt (- a z)))))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

499×	`times-frac`
253×	`add-sqr-sqrt` `*-un-lft-identity`
139×	`add-cube-cbrt`
105×	`cbrt-prod`
57×	`distribute-lft-out--` `difference-of-squares`
35×	`associate-/r*`
22×	`add-exp-log`
19×	`associate-/r/`
18×	`cbrt-div`
16×	`add-cbrt-cube`
13×	`div-inv`
11×	`cbrt-undiv` `div-exp`
10×	`flip3--` `flip--`
5×	`associate-/l*`
4×	`pow1` `add-log-exp`
3×	`pow1/3`
2×	`prod-exp` `cbrt-unprod` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub`

Counts

4 → 284

Calls

4 calls:

6.0ms	(cbrt (- a z))
6.0ms	(cbrt (- a z))
6.0ms	(cbrt (- a z))
55.0ms	(/ (- y z) (/ (* (cbrt (- a z)) (cbrt (- a z))) (/ t (cbrt (- a z)))))

series731.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt (- a z))
191.0ms	(cbrt (- a z))
186.0ms	(cbrt (- a z))
164.0ms	(/ (- y z) (/ (* (cbrt (- a z)) (cbrt (- a z))) (/ t (cbrt (- a z)))))

simplify1.8s

Counts

296 → 296

Iterations

Iter	Nodes
done	5000
1	1566
0	484

prune2.1s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes580.0ms

Accuracy

82.2% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	27
1	27
0	22

end0.0ms

sample1.2s

Algorithm

intervals

Results

378.0ms	8771×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid