Details

sample22.0ms

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	24	9
3	52	9
4	83	9
5	107	9
6	129	9
7	152	9
8	193	9
9	259	9
10	345	9
11	382	9
12	433	9
13	468	9
14	504	9
15	594	9
16	826	9
17	1115	9
18	1668	9
19	2160	9
20	2219	9
done	2219	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

2.0ms	(+ x (* (- y x) (/ z t)))
19.0ms	(* (- y x) (/ z t))

series83.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ x (* (- y x) (/ z t)))
43.0ms	(* (- y x) (/ z t))

simplify2.7s

Counts

55 → 55

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	115	669
1	297	627
2	1058	581
3	4937	557
done	5000	557

prune128.0ms

Pruning

7 alts after pruning (6 fresh and 1 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)))

rewrite45.0ms

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:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
6.0ms	(* (cbrt t) (cbrt t))
34.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series622.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt t)
172.0ms	(cbrt t)
200.0ms	(* (cbrt t) (cbrt t))
75.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify805.0ms

Counts

135 → 135

Iterations

Useful iterations: done (802.0ms)

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

prune368.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (pow (/ z (/ t (- y x))) 1))
0.0b	(/ t (- y x))
7.1b	(/ z (/ t (- y x)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
105×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 151

Calls

3 calls:

66.0ms	(+ x (pow (/ z (/ t (- y x))) 1))
6.0ms	(/ t (- y x))
10.0ms	(/ z (/ t (- y x)))

series121.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ x (pow (/ z (/ t (- y x))) 1))
28.0ms	(/ t (- y x))
58.0ms	(/ z (/ t (- y x)))

simplify824.0ms

Counts

160 → 160

Iterations

Useful iterations: 2 (275.0ms)

Iter	Nodes	Cost
0	245	2329
1	547	2130
2	1841	2050
done	5001	2050

prune437.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ z (* (cbrt (/ t (- y x))) (cbrt (/ t (- y x)))))
9.1b	(cbrt (/ t (- y x)))
9.1b	(cbrt (/ t (- y x)))
9.1b	(cbrt (/ t (- y x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
51×	`add-sqr-sqrt` `*-un-lft-identity`
48×	`times-frac`
33×	`add-cube-cbrt`
9×	`add-exp-log` `associate-/r/` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-div` `add-cbrt-cube`
4×	`pow1` `div-inv` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

4 → 114

Calls

4 calls:

12.0ms	(/ z (* (cbrt (/ t (- y x))) (cbrt (/ t (- y x)))))
4.0ms	(cbrt (/ t (- y x)))
4.0ms	(cbrt (/ t (- y x)))
4.0ms	(cbrt (/ t (- y x)))

series687.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(/ z (* (cbrt (/ t (- y x))) (cbrt (/ t (- y x)))))
169.0ms	(cbrt (/ t (- y x)))
172.0ms	(cbrt (/ t (- y x)))
174.0ms	(cbrt (/ t (- y x)))

simplify1.3s

Counts

126 → 126

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	178	1837
1	335	1757
2	748	1650
3	1934	1614
done	5001	1595

prune439.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes216.0ms

Accuracy

23% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.9b

bsearch81.0ms

Steps

Iters	Range		Point
10	1.6447297697938876e+26	7.286036673068297e+38	3.1620768803332083e+29
9	-4.099996582881451e+41	-1.4795547208826837e+34	-2.0066839193176758e+34

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	19	39
1	27	27
done	27	27

end0.0ms

sample564.0ms

Algorithm

intervals

Results

293.0ms

10679×

body

valid