Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

336×

body

valid

simplify6.8s

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: 2.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
6.5b	(* (/ x y) (- z t))

rewrite55.0ms

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:

20.0ms	(+ (* (/ x y) (- z t)) t)
31.0ms	(* (/ x y) (- z t))

series94.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* (/ x y) (- z t)) t)
58.0ms	(* (/ x y) (- z t))

simplify882.0ms

Counts

104 → 104

Iterations

Useful iterations: done (876.0ms)

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

prune212.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

2.1b	(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)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify680.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (40.0ms)

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

prune34.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (/ (- z t) y)) t)
0.0b	(/ (- z t) y)
6.2b	(* x (/ (- z t) y))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
3×	`expm1-log1p-u` `associate-l` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `fma-def` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `flip-+`

Counts

3 → 94

Calls

3 calls:

13.0ms	(+ (* x (/ (- z t) y)) t)
19.0ms	(/ (- z t) y)
26.0ms	(* x (/ (- z t) y))

series117.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (* x (/ (- z t) y)) t)
28.0ms	(/ (- z t) y)
52.0ms	(* x (/ (- z t) y))

simplify1.7s

Counts

103 → 103

Iterations

Useful iterations: 3 (844.0ms)

Iter	Nodes	Cost
0	143	1099
1	351	1018
2	1009	954
3	3715	921
done	5001	921

prune221.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
3.8b	(* (/ x (* (cbrt y) (cbrt y))) (/ (- z t) (cbrt y)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 112

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
60.0ms	(* (/ x (* (cbrt y) (cbrt y))) (/ (- z t) (cbrt y)))

series631.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt y)
177.0ms	(cbrt y)
171.0ms	(cbrt y)
96.0ms	(* (/ x (* (cbrt y) (cbrt y))) (/ (- z t) (cbrt y)))

simplify931.0ms

Counts

124 → 124

Iterations

Useful iterations: done (928.0ms)

Iter	Nodes	Cost
0	165	1625
1	464	1547
2	1994	1193
done	5000	1096

prune284.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes154.0ms

Accuracy

-4.7% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.0b

bsearch56.0ms

Steps

Iters	Range		Point
9	1.1883218742037433e-197	5.173071754270168e-190	1.0368003136625138e-190
7	-1.8353858603468546e-180	-6.863748776757378e-182	-1.849817840462493e-181

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	19	37
1	25	30
done	25	30

end0.0ms

sample835.0ms

Algorithm

intervals

Results

455.0ms

10549×

body

valid