Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

283×

body

valid

simplify557.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	59	11
4	94	11
5	120	11
6	146	11
7	165	11
8	187	11
9	232	11
10	324	11
11	481	11
12	509	11
13	528	11
14	530	11
done	530	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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:

10.0ms	(+ x (/ (* (- y z) t) (- a z)))
10.0ms	(* (- y z) t)
10.0ms	(/ (* (- y z) t) (- a z))

series171.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ x (/ (* (- y z) t) (- a z)))
28.0ms	(* (- y z) t)
67.0ms	(/ (* (- y z) t) (- a z))

simplify798.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (130.0ms)

Iter	Nodes	Cost
0	124	812
1	326	763
2	1203	685
done	5001	685

prune167.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- y z) (/ (- a z) t)))
0.0b	(/ (- a z) t)
10.7b	(/ (- y z) (/ (- a z) t))

rewrite74.0ms

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:

37.0ms	(+ x (/ (- y z) (/ (- a z) t)))
7.0ms	(/ (- a z) t)
16.0ms	(/ (- y z) (/ (- a z) t))

series203.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ x (/ (- y z) (/ (- a z) t)))
26.0ms	(/ (- a z) t)
100.0ms	(/ (- y z) (/ (- a z) t))

simplify950.0ms

Counts

197 → 197

Iterations

Useful iterations: 2 (413.0ms)

Iter	Nodes	Cost
0	273	3386
1	777	3165
2	2352	3059
done	5000	3059

prune462.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* 1 (* (/ (- y z) (- a z)) t)))
0.0b	(/ (- y z) (- a z))
2.2b	(* (/ (- y z) (- a z)) t)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 114

Calls

3 calls:

3.0ms	(+ x (* 1 (* (/ (- y z) (- a z)) t)))
10.0ms	(/ (- y z) (- a z))
24.0ms	(* (/ (- y z) (- a z)) t)

series223.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ x (* 1 (* (/ (- y z) (- a z)) t)))
49.0ms	(/ (- y z) (- a z))
97.0ms	(* (/ (- y z) (- a z)) t)

simplify2.1s

Counts

123 → 123

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	171	1586
1	447	1487
2	1202	1399
3	4204	1399
done	5000	1397

prune292.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y z) (/ t (- a z))))
0.0b	(/ t (- a z))
10.5b	(* (- y z) (/ t (- a z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

2.0ms	(+ x (* (- y z) (/ t (- a z))))
5.0ms	(/ t (- a z))
25.0ms	(* (- y z) (/ t (- a z)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ x (* (- y z) (/ t (- a z))))
29.0ms	(/ t (- a z))
68.0ms	(* (- y z) (/ t (- a z)))

simplify851.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (177.0ms)

Iter	Nodes	Cost
0	154	1213
1	366	1138
2	1299	1060
done	5000	1060

prune235.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes163.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	17	11
done	17	11

end0.0ms

sample579.0ms

Algorithm

intervals

Results

293.0ms

8768×

body

valid