Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

337×

body

valid

simplify6.3s

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	50	8
4	87	8
5	129	8
6	165	8
7	180	8
8	208	8
9	258	8
10	376	8
11	551	8
12	611	8
13	668	8
14	768	8
15	1024	8
16	1339	8
17	1934	8
18	2468	8
19	2566	8
20	2572	8
done	2572	8

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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)

rewrite23.0ms

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:

5.0ms	(+ x (/ (* (- y x) z) t))
10.0ms	(* (- y x) z)
7.0ms	(/ (* (- y x) z) t)

series134.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ x (/ (* (- y x) z) t))
39.0ms	(* (- y x) z)
51.0ms	(/ (* (- y x) z) t)

simplify1.7s

Counts

75 → 75

Iterations

Useful iterations: 2 (134.0ms)

Iter	Nodes	Cost
0	116	736
1	297	699
2	971	605
done	5000	605

prune192.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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:

30.0ms	(+ x (/ (- y x) (/ t z)))
12.0ms	(/ (- y x) (/ t z))

series92.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ x (/ (- y x) (/ t z)))
49.0ms	(/ (- y x) (/ t z))

simplify930.0ms

Counts

127 → 127

Iterations

Useful iterations: 2 (319.0ms)

Iter	Nodes	Cost
0	221	1932
1	616	1804
2	1806	1697
done	5001	1697

prune344.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

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))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
18×	`associate-l`
17×	`add-sqr-sqrt` `add-cbrt-cube`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt` `prod-exp`
10×	`pow1`
9×	`times-frac`
7×	`associate-*l/` `cbrt-unprod`
5×	`add-log-exp`
4×	`div-exp` `associate-r` `pow-prod-down`
3×	`expm1-log1p-u` `flip3--` `fma-def` `flip--` `log1p-expm1-u`
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 → 83

Calls

3 calls:

6.0ms	(+ x (* (/ 1 t) (* (- y x) z)))
11.0ms	(* (- y x) z)
19.0ms	(* (/ 1 t) (* (- y x) z))

series137.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ x (* (/ 1 t) (* (- y x) z)))
32.0ms	(* (- y x) z)
58.0ms	(* (/ 1 t) (* (- y x) z))

simplify1.1s

Counts

92 → 92

Iterations

Useful iterations: 2 (200.0ms)

Iter	Nodes	Cost
0	148	1067
1	406	893
2	1252	767
done	5000	767

prune224.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
6.7b	(fma (/ (- y x) t) z x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 50

Calls

2 calls:

12.0ms	(/ (- y x) t)
0.0ms	(fma (/ (- y x) t) z x)

series73.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (- y x) t)
43.0ms	(fma (/ (- y x) t) z x)

simplify1.9s

Counts

56 → 56

Iterations

Useful iterations: 4 (693.0ms)

Iter	Nodes	Cost
0	93	570
1	194	548
2	433	512
3	1085	497
4	3089	496
done	5000	496

prune147.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes140.0ms

Accuracy

45.6% (1.0b remaining)

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

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	16	49
1	21	42
done	21	42

end0.0ms

sample557.0ms

Algorithm

intervals

Results

286.0ms

10679×

body

valid