Details

sample43.0ms

Algorithm

intervals

Results

21.0ms

283×

body

valid

simplify757.0ms

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	140	11
6	163	11
7	180	11
8	202	11
9	247	11
10	327	11
11	365	11
12	399	11
13	405	11
14	407	11
done	407	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) t)
13.6b	(/ (* (- y z) t) (- a z))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-l` `associate-/r*`
4×	`pow1` `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/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

21.0ms	(* (- y z) t)
31.0ms	(/ (* (- y z) t) (- a z))

series125.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* (- y z) t)
92.0ms	(/ (* (- y z) t) (- a z))

simplify1.3s

Counts

57 → 57

Iterations

Useful iterations: 2 (152.0ms)

Iter	Nodes	Cost
0	101	565
1	255	545
2	1060	471
done	5000	471

prune192.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- a z))
10.4b	(* (- y z) (/ t (- a z)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 83

Calls

2 calls:

25.0ms	(/ t (- a z))
74.0ms	(* (- y z) (/ t (- a z)))

series146.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ t (- a z))
98.0ms	(* (- y z) (/ t (- a z)))

simplify2.6s

Counts

89 → 89

Iterations

Useful iterations: 2 (171.0ms)

Iter	Nodes	Cost
0	130	977
1	290	931
2	1085	857
3	4338	857
done	5000	857

prune229.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
170×	`add-sqr-sqrt` `*-un-lft-identity`
86×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `flip3--` `frac-2neg` `div-sub` `clear-num` `flip--` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 175

Calls

2 calls:

16.0ms	(/ (- a z) t)
34.0ms	(/ (- y z) (/ (- a z) t))

series163.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- a z) t)
118.0ms	(/ (- y z) (/ (- a z) t))

simplify1.3s

Counts

181 → 181

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	247	3130
1	681	2938
2	2255	2836
done	5000	2834

prune586.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.5b	(* t (/ (- y z) (- a z)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

40.0ms	(/ (- y z) (- a z))
51.0ms	(* t (/ (- y z) (- a z)))

series187.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(/ (- y z) (- a z))
115.0ms	(* t (/ (- y z) (- a z)))

simplify1.8s

Counts

108 → 108

Iterations

Useful iterations: 2 (202.0ms)

Iter	Nodes	Cost
0	138	1319
1	345	1247
2	950	1165
3	2812	1165
done	5001	1165

prune347.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes271.0ms

Accuracy

5.5% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	22	38
1	29	36
done	29	36

end0.0ms

sample993.0ms

Algorithm

intervals

Results

558.0ms	8690×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid