Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	244×	body	80	valid
2.0ms	18×	body	640	valid
1.0ms	16×	body	320	valid
1.0ms	8×	body	1280	valid
1.0ms	10×	body	160	valid
0.0ms	1×	body	2560	valid

simplify7.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	23	13
2	43	13
3	115	13
4	263	13
5	568	13
6	1004	13
7	1712	13
8	3060	13
9	3795	13
10	3999	13
11	4453	13
done	5001	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
3.7b	(+ x (* (- y z) (/ (- t x) (- a z))))
5.7b	(* (- y z) (/ (- t x) (- a z)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 119

Calls

3 calls:

11.0ms	(/ (- t x) (- a z))
3.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
36.0ms	(* (- y z) (/ (- t x) (- a z)))

series328.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (- t x) (- a z))
150.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
127.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify920.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (263.0ms)

Iter	Nodes	Cost
0	183	1813
1	474	1704
2	1687	1606
done	5001	1606

prune333.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- t x) (/ 1 (- a z)))
5.2b	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
5.7b	(* (- y z) (* (- t x) (/ 1 (- a z))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`frac-times` `add-cbrt-cube`
17×	`flip3--` `flip--`
13×	`prod-exp`
12×	`pow1`
10×	`associate-r/` `associate-l` `associate-l/`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`associate-/r*`
4×	`pow-prod-down` `associate-/r/` `un-div-inv`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 146

Calls

4 calls:

6.0ms	(/ 1 (- a z))
24.0ms	(* (- t x) (/ 1 (- a z)))
3.0ms	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
36.0ms	(* (- y z) (* (- t x) (/ 1 (- a z))))

series374.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 1 (- a z))
53.0ms	(* (- t x) (/ 1 (- a z)))
151.0ms	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
136.0ms	(* (- y z) (* (- t x) (/ 1 (- a z))))

simplify888.0ms

Counts

158 → 158

Iterations

Useful iterations: 2 (221.0ms)

Iter	Nodes	Cost
0	221	2286
1	586	1896
2	2094	1716
done	5000	1716

prune345.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 4.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
3.7b	(+ x (* (- y z) (/ (- t x) (- a z))))
5.7b	(* (- y z) (/ (- t x) (- a z)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 119

Calls

3 calls:

13.0ms	(/ (- t x) (- a z))
3.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
32.0ms	(* (- y z) (/ (- t x) (- a z)))

series337.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (- t x) (- a z))
157.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
130.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify901.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (274.0ms)

Iter	Nodes	Cost
0	183	1813
1	474	1704
2	1687	1606
done	5001	1606

prune286.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 4.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- t x))
0.6b	(cbrt (- t x))
5.7b	(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (/ (- a z) (cbrt (- t x)))))
10.8b	(+ x (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (/ (- a z) (cbrt (- t x))))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

91×	`times-frac`
69×	`add-sqr-sqrt`
59×	`*-un-lft-identity`
51×	`associate-r`
36×	`cbrt-prod`
27×	`add-cube-cbrt`
22×	`add-exp-log`
16×	`add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
7×	`prod-exp` `cbrt-unprod`
6×	`pow1` `cbrt-undiv` `cbrt-div` `div-exp` `add-log-exp`
5×	`flip3--` `associate-l` `flip--`
4×	`unswap-sqr`
3×	`associate-/r/`
2×	`frac-times` `pow1/3` `associate-*l/` `div-inv`
1×	`+-commutative` `flip3-+` `associate-r/` `pow-prod-down` `sum-log` `-commutative` `flip-+`

Counts

4 → 125

Calls

4 calls:

2.0ms	(cbrt (- t x))
2.0ms	(cbrt (- t x))
69.0ms	(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (/ (- a z) (cbrt (- t x)))))
3.0ms	(+ x (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (/ (- a z) (cbrt (- t x))))))

series582.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (- t x))
145.0ms	(cbrt (- t x))
131.0ms	(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (/ (- a z) (cbrt (- t x)))))
154.0ms	(+ x (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (/ (- a z) (cbrt (- t x))))))

simplify1.0s

Counts

137 → 137

Iterations

Useful iterations: 2 (423.0ms)

Iter	Nodes	Cost
0	289	2899
1	727	2726
2	2805	2172
done	5001	2172

prune409.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 4.8b

regimes410.0ms

Accuracy

51.1% (3.8b remaining)

Error of 8.0b against oracle of 4.3b and baseline of 12.0b

bsearch3.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	119
1	55	119
done	55	119

end0.0ms

sample675.0ms

Algorithm

intervals

Results

247.0ms	7829×	body	80	valid
59.0ms	490×	body	640	valid
44.0ms	283×	body	1280	valid
40.0ms	401×	body	320	valid
14.0ms	240×	body	160	valid
3.0ms	18×	body	2560	valid