Details

sample39.0ms

Algorithm

intervals

Results

16.0ms

328×

body

valid

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	48	9
4	79	9
5	120	9
6	137	9
7	146	9
8	163	9
9	211	9
10	287	9
11	327	9
12	371	9
13	389	9
14	476	9
15	567	9
16	816	9
17	1145	9
18	1569	9
19	1652	9
20	1654	9
done	1654	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (/ (* (- y x) z) t))
6.3b	(/ (* (- y x) z) t)

rewrite79.0ms

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:

37.0ms	(* (- y x) z)
12.0ms	(+ x (/ (* (- y x) z) t))
27.0ms	(/ (* (- y x) z) t)

series152.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* (- y x) z)
51.0ms	(+ x (/ (* (- y x) z) t))
52.0ms	(/ (* (- y x) z) t)

simplify3.2s

Counts

66 → 66

Iterations

Useful iterations: 2 (202.0ms)

Iter	Nodes	Cost
0	110	688
1	283	653
2	993	559
3	4871	559
done	5000	559

prune225.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
5.8b	(/ (- y x) (/ t z))

rewrite96.0ms

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:

55.0ms	(+ x (/ (- y x) (/ t z)))
31.0ms	(/ (- y x) (/ t z))

series138.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ x (/ (- y x) (/ t z)))
81.0ms	(/ (- y x) (/ t z))

simplify1.3s

Counts

120 → 120

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	217	1896
1	594	1770
2	1847	1680
done	5001	1678

prune336.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.8b	(* (- y x) (/ z t))

rewrite58.0ms

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:

12.0ms	(+ x (* (- y x) (/ z t)))
43.0ms	(* (- y x) (/ z t))

series132.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ x (* (- y x) (/ z t)))
78.0ms	(* (- y x) (/ z t))

simplify3.4s

Counts

55 → 55

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	115	669
1	293	627
2	1083	581
3	4484	557
done	5001	557

prune169.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.3b	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
30×	`times-frac`
25×	`add-exp-log`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt` `associate-r`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
9×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 94

Calls

4 calls:

2.0ms	(cbrt t)
2.0ms	(cbrt t)
2.0ms	(cbrt t)
87.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series955.0ms

Counts

4 → 12

Calls

4 calls:

305.0ms	(cbrt t)
292.0ms	(cbrt t)
263.0ms	(cbrt t)
95.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify1.5s

Counts

106 → 106

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	151	1411
1	435	1355
2	1815	1035
done	5000	944

prune371.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes202.0ms

Accuracy

9.4% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.9b

bsearch126.0ms

Steps

Iters	Range		Point
10	4793.416004860155	1091379768884732.6	5430407.937503214
10	-3.3467573401782356e-118	-2.685970965115842e-133	-3.2981924105391174e-118

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	46
1	33	46
done	33	46

end0.0ms

sample1.3s

Algorithm

intervals

Results

620.0ms

10694×

body

valid