Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

283×

body

valid

simplify550.0ms

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

prune2.0ms

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))

rewrite32.0ms

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)
9.0ms	(/ (* (- y z) t) (- a z))

series170.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ x (/ (* (- y z) t) (- a z)))
29.0ms	(* (- y z) t)
66.0ms	(/ (* (- y z) t) (- a z))

simplify808.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (128.0ms)

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

prune175.0ms

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))

rewrite79.0ms

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:

41.0ms	(+ x (/ (- y z) (/ (- a z) t)))
7.0ms	(/ (- a z) t)
18.0ms	(/ (- y z) (/ (- a z) t))

series200.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ x (/ (- y z) (/ (- a z) t)))
26.0ms	(/ (- a z) t)
98.0ms	(/ (- y z) (/ (- a z) t))

simplify956.0ms

Counts

197 → 197

Iterations

Useful iterations: 2 (414.0ms)

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

prune481.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

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-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-+`

Counts

3 → 113

Calls

3 calls:

2.0ms	(+ x (* (/ (- y z) (- a z)) t))
11.0ms	(/ (- y z) (- a z))
25.0ms	(* (/ (- y z) (- a z)) t)

series218.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (* (/ (- y z) (- a z)) t))
47.0ms	(/ (- y z) (- a z))
97.0ms	(* (/ (- y z) (- a z)) t)

simplify1.7s

Counts

122 → 122

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	167	1539
1	433	1476
2	1161	1388
3	3954	1388
done	5001	1386

prune467.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

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)))

rewrite34.0ms

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:

3.0ms	(+ x (* (- y z) (/ t (- a z))))
5.0ms	(/ t (- a z))
23.0ms	(* (- y z) (/ t (- a z)))

series169.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ x (* (- y z) (/ t (- a z))))
29.0ms	(/ t (- a z))
66.0ms	(* (- y z) (/ t (- a z)))

simplify833.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (172.0ms)

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

prune232.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes164.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample527.0ms

Algorithm

intervals

Results

268.0ms

8768×

body

valid