Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

279×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	29	9
3	56	9
4	84	9
5	110	9
6	135	9
7	147	9
8	157	9
9	158	9
10	163	9
11	195	9
12	254	9
13	275	9
14	325	9
15	362	9
16	392	9
17	492	9
18	608	9
19	627	9
20	631	9
done	631	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
10.1b	(/ (* x (- y z)) (- t z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
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` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 77

Calls

2 calls:

13.0ms	(* x (- y z))
15.0ms	(/ (* x (- y z)) (- t z))

series127.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* x (- y z))
85.0ms	(/ (* x (- y z)) (- t z))

simplify777.0ms

Counts

83 → 83

Iterations

Useful iterations: 2 (135.0ms)

Iter	Nodes	Cost
0	157	1123
1	354	936
2	1540	754
done	5000	754

prune180.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- y z))
1.9b	(/ x (/ (- t z) (- y z)))

rewrite42.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 198

Calls

2 calls:

13.0ms	(/ (- t z) (- y z))
15.0ms	(/ x (/ (- t z) (- y z)))

series251.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ (- t z) (- y z))
187.0ms	(/ x (/ (- t z) (- y z)))

simplify941.0ms

Counts

204 → 204

Iterations

Useful iterations: 2 (246.0ms)

Iter	Nodes	Cost
0	274	3524
1	646	3300
2	2795	3198
done	5000	3198

prune532.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- y z))
0.0b	(/ z (- y z))
1.9b	(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

174×	`*-un-lft-identity`
156×	`times-frac`
134×	`add-sqr-sqrt`
56×	`distribute-lft-out--`
54×	`add-cube-cbrt`
32×	`difference-of-squares`
28×	`associate-/r*`
24×	`associate-/r/`
12×	`distribute-rgt-out--`
11×	`flip3--` `flip--` `div-inv`
9×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`frac-sub` `sub-div`

Counts

3 → 171

Calls

3 calls:

5.0ms	(/ t (- y z))
6.0ms	(/ z (- y z))
84.0ms	(/ x (- (/ t (- y z)) (/ z (- y z))))

series222.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ t (- y z))
57.0ms	(/ z (- y z))
128.0ms	(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify677.0ms

Counts

180 → 180

Iterations

Useful iterations: 2 (178.0ms)

Iter	Nodes	Cost
0	270	2822
1	518	2633
2	1815	2559
done	5000	2559

prune454.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- y z))
0.0b	(/ 1 (- y z))
0.2b	(* t (/ 1 (- y z)))
1.9b	(/ x (- (* t (/ 1 (- y z))) (/ z (- y z))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
66×	`*-un-lft-identity`
59×	`times-frac`
43×	`add-cube-cbrt`
21×	`add-exp-log` `associate-r`
15×	`add-cbrt-cube`
14×	`associate-/r*`
12×	`associate-/r/`
11×	`distribute-lft-out--` `difference-of-squares`
9×	`associate-/l*`
8×	`div-inv`
7×	`pow1`
6×	`div-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `flip3--` `distribute-rgt-out--` `prod-exp` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-r/` `associate-l*` `clear-num` `un-div-inv` `unswap-sqr`
2×	`rec-exp` `1-exp` `frac-sub` `cbrt-unprod` `sub-div`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 167

Calls

4 calls:

8.0ms	(/ z (- y z))
6.0ms	(/ 1 (- y z))
18.0ms	(* t (/ 1 (- y z)))
29.0ms	(/ x (- (* t (/ 1 (- y z))) (/ z (- y z))))

series235.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ z (- y z))
40.0ms	(/ 1 (- y z))
32.0ms	(* t (/ 1 (- y z)))
116.0ms	(/ x (- (* t (/ 1 (- y z))) (/ z (- y z))))

simplify1.0s

Counts

179 → 179

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	231	2123
1	504	1819
2	1647	1651
done	5000	1569

prune392.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes108.0ms

Accuracy

-16.1% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.0b

bsearch85.0ms

Steps

Iters	Range		Point
10	-8.572863479431592e-261	-2.5998418277454444e-272	-1.7069294686818465e-261
8	-7.482789825668885e+35	-5.079470124687608e+32	-1.390173372602323e+33

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	45
1	27	45
done	27	45

end0.0ms

sample469.0ms

Algorithm

intervals

Results

227.0ms

8726×

body

valid