Details

sample24.0ms

Algorithm

intervals

Results

8.0ms

350×

body

valid

simplify6.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	51	8
4	89	8
5	149	8
6	198	8
7	222	8
8	252	8
9	305	8
10	433	8
11	549	8
12	617	8
13	663	8
14	792	8
15	930	8
16	1243	8
17	1732	8
18	2338	8
19	2508	8
20	2515	8
done	2515	8

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y x) z) t))
0.0b	(* (- y x) z)
6.6b	(/ (* (- y x) z) t)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-*l/`
3×	`expm1-log1p-u` `fma-def` `times-frac` `associate-r` `associate-/r*` `log1p-expm1-u`
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 → 66

Calls

3 calls:

10.0ms	(+ x (/ (* (- y x) z) t))
22.0ms	(* (- y x) z)
18.0ms	(/ (* (- y x) z) t)

series121.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ x (/ (* (- y x) z) t))
31.0ms	(* (- y x) z)
49.0ms	(/ (* (- y x) z) t)

simplify1.1s

Counts

75 → 75

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	116	736
1	296	699
2	1032	605
done	5000	589

prune172.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
8.6b	(/ (- y x) (/ t z))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
89×	`*-un-lft-identity`
87×	`add-sqr-sqrt`
59×	`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` `fma-def` `div-exp`
2×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 121

Calls

2 calls:

43.0ms	(+ x (/ (- y x) (/ t z)))
25.0ms	(/ (- y x) (/ t z))

series93.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ x (/ (- y x) (/ t z)))
49.0ms	(/ (- y x) (/ t z))

simplify1.1s

Counts

127 → 127

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	221	1932
1	603	1804
2	1880	1697
done	5001	1695

prune297.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
8.2b	(* (- y x) (/ z t))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-cube-cbrt`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
3×	`fma-def`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `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 → 56

Calls

2 calls:

8.0ms	(+ x (* (- y x) (/ z t)))
33.0ms	(* (- y x) (/ z t))

series90.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ x (* (- y x) (/ z t)))
50.0ms	(* (- y x) (/ z t))

simplify2.4s

Counts

62 → 62

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	119	705
1	303	661
2	1124	603
3	4746	576
done	5000	576

prune143.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)
7.9b	(/ (/ (- y x) (* (cbrt t) (cbrt t))) (/ (cbrt t) z))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

493×	`times-frac`
229×	`add-sqr-sqrt` `*-un-lft-identity`
183×	`add-cube-cbrt`
99×	`cbrt-prod`
34×	`div-inv`
25×	`add-exp-log`
23×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
18×	`add-cbrt-cube`
13×	`cbrt-undiv` `div-exp`
9×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-sub` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `associate-/r/` `associate-/l/`

Counts

4 → 295

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
38.0ms	(/ (/ (- y x) (* (cbrt t) (cbrt t))) (/ (cbrt t) z))

series626.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt t)
184.0ms	(cbrt t)
180.0ms	(cbrt t)
77.0ms	(/ (/ (- y x) (* (cbrt t) (cbrt t))) (/ (cbrt t) z))

simplify873.0ms

Counts

307 → 307

Iterations

Useful iterations: done (863.0ms)

Iter	Nodes	Cost
0	455	7165
1	1292	6834
done	5000	6430

prune830.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes139.0ms

Accuracy

16.9% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.0b

bsearch29.0ms

Steps

Iters	Range		Point
7	-1.8158865307478539e+22	-2.1272797501095667e+20	-1.119936795932291e+21

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	14	21
done	14	21

end0.0ms

sample671.0ms

Algorithm

intervals

Results

268.0ms

10694×

body

valid