Details

sample38.0ms

Algorithm

intervals

Results

18.0ms

274×

body

valid

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	60	11
4	96	11
5	148	11
6	259	11
7	430	11
8	804	11
9	1875	11
10	4961	11
done	5001	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
13.1b	(/ (* (- y z) t) (- a z))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

21.0ms	(+ x (/ (* (- y z) t) (- a z)))
23.0ms	(* (- y z) t)
40.0ms	(/ (* (- y z) t) (- a z))

series228.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(+ x (/ (* (- y z) t) (- a z)))
32.0ms	(* (- y z) t)
92.0ms	(/ (* (- y z) t) (- a z))

simplify1.2s

Counts

72 → 72

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	124	812
1	334	763
2	1672	691
done	5000	685

prune167.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y z) (/ t (- a z))))
11.0b	(* (- y z) (/ t (- a z)))

rewrite58.0ms

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-exp-log` `add-cbrt-cube`
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` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 57

Calls

2 calls:

7.0ms	(+ x (* (- y z) (/ t (- a z))))
48.0ms	(* (- y z) (/ t (- a z)))

series168.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(+ x (* (- y z) (/ t (- a z))))
73.0ms	(* (- y z) (/ t (- a z)))

simplify1.1s

Counts

63 → 63

Iterations

Useful iterations: 2 (207.0ms)

Iter	Nodes	Cost
0	133	833
1	352	781
2	1800	717
done	5000	717

prune220.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- y z) (/ (- a z) t)))
0.0b	(/ (- a z) t)
11.6b	(/ (- y z) (/ (- a z) t))

rewrite111.0ms

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-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

3 → 188

Calls

3 calls:

58.0ms	(+ x (/ (- y z) (/ (- a z) t)))
16.0ms	(/ (- a z) t)
27.0ms	(/ (- y z) (/ (- a z) t))

series228.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ x (/ (- y z) (/ (- a z) t)))
29.0ms	(/ (- a z) t)
111.0ms	(/ (- y z) (/ (- a z) t))

simplify1.4s

Counts

197 → 197

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	273	3386
1	862	3203
2	4134	3065
done	5001	3059

prune625.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

2.0b	(* (* (cbrt (/ t (- a z))) (cbrt (/ t (- a z)))) (- y z))
14.7b	(cbrt (/ t (- a z)))
14.7b	(cbrt (/ t (- a z)))
14.7b	(cbrt (/ t (- a z)))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
53×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
45×	`times-frac`
32×	`add-cube-cbrt`
15×	`cbrt-div`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `add-exp-log` `frac-times`
7×	`flip3--` `add-cbrt-cube` `flip--`
6×	`associate-*l/` `associate-/r/`
5×	`associate-r/` `associate-r*`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`associate-l` `*-commutative` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

124.0ms	(* (* (cbrt (/ t (- a z))) (cbrt (/ t (- a z)))) (- y z))
6.0ms	(cbrt (/ t (- a z)))
6.0ms	(cbrt (/ t (- a z)))
6.0ms	(cbrt (/ t (- a z)))

series920.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(* (* (cbrt (/ t (- a z))) (cbrt (/ t (- a z)))) (- y z))
225.0ms	(cbrt (/ t (- a z)))
220.0ms	(cbrt (/ t (- a z)))
223.0ms	(cbrt (/ t (- a z)))

simplify903.0ms

Counts

138 → 138

Iterations

Useful iterations: done (896.0ms)

Iter	Nodes	Cost
0	222	2351
1	522	2245
2	1912	2094
done	5002	2070

prune675.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes186.0ms

Accuracy

0% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

464.0ms	8758×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid