Details

sample45.0ms

Algorithm

intervals

Results

19.0ms

340×

body

valid

simplify10.3s

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.8b

localize8.0ms

Local error

Found 1 expressions with local error:

2.7b	(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:

0.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify895.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (74.0ms)

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

prune58.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.8b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite82.0ms

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:

28.0ms	(+ (* (/ x y) (- z t)) t)
42.0ms	(* (/ x y) (- z t))

series130.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ (* (/ x y) (- z t)) t)
78.0ms	(* (/ x y) (- z t))

simplify1.2s

Counts

104 → 104

Iterations

Useful iterations: done (1.2s)

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

prune306.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.3s

Counts

4 → 12

Calls

4 calls:

243.0ms	(cbrt y)
251.0ms	(cbrt x)
577.0ms	(cbrt x)
223.0ms	(cbrt x)

simplify1.6s

Counts

64 → 64

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	46	284
1	75	268
2	148	244
3	303	232
4	759	232
5	2538	232
done	5000	232

prune227.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

6.6b	(* (/ x y) (- z t))
8.4b	(cbrt (* (/ x y) (- z t)))
8.4b	(cbrt (* (/ x y) (- z t)))
8.4b	(cbrt (* (/ x y) (- z t)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
18×	`prod-diff`
15×	`cbrt-div`
13×	`associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3--` `associate-*r/` `flip--`
6×	`pow1`
5×	`associate-r`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
2×	`sub-neg` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 110

Calls

4 calls:

35.0ms	(* (/ x y) (- z t))
11.0ms	(cbrt (* (/ x y) (- z t)))
11.0ms	(cbrt (* (/ x y) (- z t)))
16.0ms	(cbrt (* (/ x y) (- z t)))

series669.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (/ x y) (- z t))
200.0ms	(cbrt (* (/ x y) (- z t)))
205.0ms	(cbrt (* (/ x y) (- z t)))
183.0ms	(cbrt (* (/ x y) (- z t)))

simplify2.6s

Counts

122 → 122

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	195	1820
1	449	1621
2	1229	1421
3	4768	1352
done	5000	1352

prune459.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes212.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	23
1	17	23
done	17	23

end0.0ms

sample1.1s

Algorithm

intervals

Results

455.0ms

10613×

body

valid