Details

sample38.0ms

Algorithm

intervals

Results

15.0ms

329×

body

valid

simplify9.2s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	15	8
2	33	8
3	63	8
4	102	8
5	142	8
6	175	8
7	213	8
8	282	8
9	367	8
10	462	8
11	520	8
12	570	8
13	613	8
14	635	8
15	673	8
16	802	8
17	940	8
18	1253	8
19	1744	8
20	2349	8
21	2520	8
22	2528	8
done	2528	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.4b

localize10.0ms

Local error

Found 1 expressions with local error:

1.3b	(fma (/ x y) (- z t) t)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ x y) (- z t) t)

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(fma (/ x y) (- z t) t)

simplify786.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	23	154
1	41	154
2	91	138
3	263	123
4	1131	123
done	5001	123

prune56.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
4.4b	(* (/ x y) (- z t))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `prod-diff`
34×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
13×	`associate-l`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 98

Calls

2 calls:

36.0ms	(+ (* (/ x y) (- z t)) t)
51.0ms	(* (/ x y) (- z t))

series122.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ (* (/ x y) (- z t)) t)
73.0ms	(* (/ x y) (- z t))

simplify1.1s

Counts

104 → 104

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	178	1645
1	451	1317
2	1231	1118
done	5000	1088

prune274.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ x y) z) (fma (/ x y) (- t) t))
0.8b	(fma (/ x y) (- t) t)
3.5b	(* (/ x y) z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
2×	`prod-exp` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `associate-+r+` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

3 → 59

Calls

3 calls:

11.0ms	(+ (* (/ x y) z) (fma (/ x y) (- t) t))
0.0ms	(fma (/ x y) (- t) t)
15.0ms	(* (/ x y) z)

series144.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (* (/ x y) z) (fma (/ x y) (- t) t))
50.0ms	(fma (/ x y) (- t) t)
37.0ms	(* (/ x y) z)

simplify2.1s

Counts

68 → 68

Iterations

Useful iterations: 3 (956.0ms)

Iter	Nodes	Cost
0	108	728
1	259	671
2	789	576
3	3017	554
done	5000	554

prune251.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.8b	(fma (/ x y) (- t) t)
10.3b	(cbrt (/ x y))
10.3b	(cbrt (/ x y))
10.3b	(cbrt (/ x y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
27×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
1×	`fma-udef`

Counts

4 → 82

Calls

4 calls:

0.0ms	(fma (/ x y) (- t) t)
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))

series314.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(fma (/ x y) (- t) t)
100.0ms	(cbrt (/ x y))
93.0ms	(cbrt (/ x y))
71.0ms	(cbrt (/ x y))

simplify1.8s

Counts

94 → 94

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	94	864
1	141	834
2	258	790
3	599	772
4	1817	745
done	5000	724

prune386.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes204.0ms

Accuracy

0% (1.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	11	13
done	11	13

end0.0ms

sample946.0ms

Algorithm

intervals

Results

446.0ms

10694×

body

valid