Details

sample31.0ms

Algorithm

intervals

Results

12.0ms

281×

body

valid

simplify136.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	29	9
3	54	9
4	77	9
5	100	9
6	120	9
7	130	9
8	139	9
done	139	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
12.0b	(/ (* x (- y z)) (- t z))

rewrite53.0ms

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-r` `associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `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 → 55

Calls

2 calls:

26.0ms	(* x (- y z))
25.0ms	(/ (* x (- y z)) (- t z))

series120.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* x (- y z))
77.0ms	(/ (* x (- y z)) (- t z))

simplify2.1s

Counts

61 → 61

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	105	599
1	264	575
2	863	501
3	3948	501
done	5000	501

prune163.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- y z))
1.6b	(/ x (/ (- t z) (- y z)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

31.0ms	(/ (- t z) (- y z))
36.0ms	(/ x (/ (- t z) (- y z)))

series279.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(/ (- t z) (- y z))
217.0ms	(/ x (/ (- t z) (- y z)))

simplify1.2s

Counts

200 → 200

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	270	3488
1	616	3268
2	2226	3166
done	5001	3160

prune493.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.6b	(/ x (* (* (cbrt (/ (- t z) (- y z))) (cbrt (/ (- t z) (- y z)))) (cbrt (/ (- t z) (- y z)))))
3.2b	(cbrt (/ (- t z) (- y z)))
3.2b	(cbrt (/ (- t z) (- y z)))
3.2b	(cbrt (/ (- t z) (- y z)))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
78×	`times-frac`
39×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
15×	`cbrt-div`
13×	`add-exp-log` `associate-/r/`
9×	`add-cbrt-cube`
5×	`frac-times` `associate-*l/`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `pow1/3` `associate-r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l`
1×	`frac-2neg` `clear-num` `associate-/r*`

Counts

4 → 150

Calls

4 calls:

176.0ms	(/ x (* (* (cbrt (/ (- t z) (- y z))) (cbrt (/ (- t z) (- y z)))) (cbrt (/ (- t z) (- y z)))))
13.0ms	(cbrt (/ (- t z) (- y z)))
11.0ms	(cbrt (/ (- t z) (- y z)))
10.0ms	(cbrt (/ (- t z) (- y z)))

series1.4s

Counts

4 → 12

Calls

4 calls:

204.0ms	(/ x (* (* (cbrt (/ (- t z) (- y z))) (cbrt (/ (- t z) (- y z)))) (cbrt (/ (- t z) (- y z)))))
394.0ms	(cbrt (/ (- t z) (- y z)))
420.0ms	(cbrt (/ (- t z) (- y z)))
415.0ms	(cbrt (/ (- t z) (- y z)))

simplify1.7s

Counts

162 → 162

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	220	3324
1	454	3211
2	1057	2714
3	2887	2611
done	5000	2554

prune510.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- t z))
8.3b	(* (/ x (- t z)) (- y z))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 87

Calls

2 calls:

12.0ms	(/ x (- t z))
67.0ms	(* (/ x (- t z)) (- y z))

series217.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ x (- t z))
170.0ms	(* (/ x (- t z)) (- y z))

simplify2.1s

Counts

93 → 93

Iterations

Useful iterations: 2 (198.0ms)

Iter	Nodes	Cost
0	142	1025
1	341	997
2	1081	921
3	3507	921
done	5002	921

prune208.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
done	8	9

end0.0ms

sample904.0ms

Algorithm

intervals

Results

416.0ms

8758×

body

valid