Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

337×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	47	9
4	77	9
5	101	9
6	121	9
7	128	9
8	144	9
9	189	9
10	282	9
11	423	9
12	461	9
13	512	9
14	602	9
15	834	9
16	1118	9
17	1659	9
18	2132	9
19	2191	9
done	2191	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y x) z) t))
0.0b	(* (- y x) z)
6.7b	(/ (* (- y x) z) t)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-*l/`
3×	`times-frac` `associate-r` `associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `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` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

5.0ms	(+ x (/ (* (- y x) z) t))
14.0ms	(* (- y x) z)
7.0ms	(/ (* (- y x) z) t)

series119.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ x (/ (* (- y x) z) t))
31.0ms	(* (- y x) z)
47.0ms	(/ (* (- y x) z) t)

simplify1.4s

Counts

66 → 66

Iterations

Useful iterations: 2 (116.0ms)

Iter	Nodes	Cost
0	110	688
1	284	653
2	934	559
done	5001	559

prune153.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
7.2b	(/ (- y x) (/ t z))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

28.0ms	(+ x (/ (- y x) (/ t z)))
11.0ms	(/ (- y x) (/ t z))

series90.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ x (/ (- y x) (/ t z)))
52.0ms	(/ (- y x) (/ t z))

simplify878.0ms

Counts

120 → 120

Iterations

Useful iterations: 2 (298.0ms)

Iter	Nodes	Cost
0	217	1896
1	607	1770
2	1773	1680
done	5000	1680

prune312.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.6b	(* (cbrt t) (cbrt t))
5.2b	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
33×	`cbrt-prod`
31×	`*-un-lft-identity`
30×	`times-frac`
29×	`add-cube-cbrt`
28×	`associate-r`
27×	`add-exp-log`
18×	`add-cbrt-cube`
15×	`associate-l`
13×	`pow1`
10×	`unswap-sqr`
9×	`prod-exp` `cbrt-unprod`
8×	`pow1/3`
7×	`cbrt-undiv` `div-exp`
6×	`swap-sqr`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 123

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
6.0ms	(* (cbrt t) (cbrt t))
33.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series942.0ms

Counts

4 → 12

Calls

4 calls:

436.0ms	(cbrt t)
199.0ms	(cbrt t)
224.0ms	(* (cbrt t) (cbrt t))
83.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify891.0ms

Counts

135 → 135

Iterations

Useful iterations: done (887.0ms)

Iter	Nodes	Cost
0	183	1675
1	518	1400
2	2327	1212
done	5001	1202

prune404.0ms

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 (* (/ 1 t) (* (- y x) z)))
0.0b	(* (- y x) z)
6.8b	(* (/ 1 t) (* (- y x) z))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
18×	`associate-l`
17×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`prod-exp`
12×	`add-cube-cbrt`
10×	`pow1`
9×	`times-frac`
7×	`associate-*l/` `cbrt-unprod`
5×	`add-log-exp`
4×	`div-exp` `associate-r` `pow-prod-down`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-r/` `-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

7.0ms	(+ x (* (/ 1 t) (* (- y x) z)))
10.0ms	(* (- y x) z)
20.0ms	(* (/ 1 t) (* (- y x) z))

series129.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ x (* (/ 1 t) (* (- y x) z)))
31.0ms	(* (- y x) z)
54.0ms	(* (/ 1 t) (* (- y x) z))

simplify1.0s

Counts

83 → 83

Iterations

Useful iterations: 2 (183.0ms)

Iter	Nodes	Cost
0	142	1011
1	393	847
2	1203	733
done	5000	733

prune198.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes164.0ms

Accuracy

45.6% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: done (2.0ms)

Iter	Nodes	Cost
0	20	59
1	30	45
done	30	43

end0.0ms

sample555.0ms

Algorithm

intervals

Results

282.0ms

10679×

body

valid