Details

sample39.0ms

Algorithm

intervals

Results

25.0ms

336×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
21	4759
20	4527
19	4276
18	4020
17	3762
16	3533
15	3282
14	3028
13	2778
12	2557
11	2272
10	1923
9	1530
8	1074
7	692
6	384
5	226
4	139
3	65
2	30
1	16
0	9

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 1 expressions with local error:

3.0b	(fma (- t z) (/ y a) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

1.0ms

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

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify1.6s

Counts

14 → 14

Iterations

Iter	Nodes
done	5003
4	1424
3	255
2	86
1	42
0	25

prune79.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- t z) (/ y a)) x)
7.0b	(* (- t z) (/ y a))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 56

Calls

2 calls:

14.0ms	(+ (* (- t z) (/ y a)) x)
25.0ms	(* (- t z) (/ y a))

series132.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ (* (- t z) (/ y a)) x)
65.0ms	(* (- t z) (/ y a))

simplify2.6s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
3	4769
2	1090
1	327
0	124

prune338.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
9×	`add-cube-cbrt`
7×	`fma-def`
6×	`times-frac`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-*l/`
3×	`expm1-log1p-u` `associate-/r` `associate-r*` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `flip--` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 73

Calls

3 calls:

16.0ms	(+ (/ (* (- t z) y) a) x)
20.0ms	(* (- t z) y)
19.0ms	(/ (* (- t z) y) a)

series154.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(+ (/ (* (- t z) y) a) x)
33.0ms	(* (- t z) y)
58.0ms	(/ (* (- t z) y) a)

simplify2.6s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
3	4778
2	979
1	313
0	122

prune415.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

229×	`times-frac`
163×	`*-un-lft-identity`
161×	`add-sqr-sqrt`
107×	`add-cube-cbrt`
70×	`fma-def`
27×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*` `div-inv`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `div-sub` `associate-/r/` `insert-posit16` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `flip3--` `associate-+l-` `flip-+` `flip--` `distribute-lft-out`

Counts

2 → 190

Calls

2 calls:

40.0ms	(+ (/ (- t z) (/ a y)) x)
25.0ms	(/ (- t z) (/ a y))

series136.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(+ (/ (- t z) (/ a y)) x)
67.0ms	(/ (- t z) (/ a y))

simplify2.0s

Counts

196 → 196

Iterations

Iter	Nodes
done	5000
2	2041
1	669
0	226

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes394.0ms

Accuracy

62.8% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.5b

bsearch65.0ms

Steps

Iters	Range		Point
8	5.0886982417155276e-170	1.3337785150559358e-167	1.2672317070069067e-167
1	-7.47632310733584e-45	-7.013398913835904e-45	-7.129129962210888e-45

simplify9.0ms

Iterations

Iter	Nodes
done	32
1	32
0	27

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.0s

10651×

body

valid