Details

sample42.0ms

Algorithm

intervals

Results

25.0ms

353×

body

valid

simplify5.1s

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 1 expressions with local error:

3.5b	(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)

series102.0ms

Counts

1 → 3

Calls

1 calls:

102.0ms

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

simplify1.8s

Counts

14 → 14

Iterations

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

prune125.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
4.7b	(/ (* y (- z t)) a)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt` `prod-diff`
37×	`*-un-lft-identity`
33×	`add-cube-cbrt`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/` `div-inv`
3×	`expm1-log1p-u` `associate-/r` `sub-neg` `flip3--` `fma-neg` `associate-l*` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `pow-prod-down` `-commutative` `associate-/l` `unswap-sqr`

Counts

3 → 114

Calls

3 calls:

13.0ms	(- x (/ (* y (- z t)) a))
17.0ms	(* y (- z t))
16.0ms	(/ (* y (- z t)) a)

series197.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- x (/ (* y (- z t)) a))
56.0ms	(* y (- z t))
74.0ms	(/ (* y (- z t)) a)

simplify1.8s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	1378
1	557
0	227

prune535.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
4.9b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite63.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 116

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
58.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series1.2s

Counts

4 → 12

Calls

4 calls:

345.0ms	(cbrt a)
360.0ms	(cbrt a)
302.0ms	(cbrt a)
147.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify2.2s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	2117
1	514
0	167

prune770.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (- (/ (* z y) a) (/ (* t y) a)))
0.0b	(- (/ (* z y) a) (/ (* t y) a))
4.9b	(/ (* z y) a)
6.0b	(/ (* t y) a)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

125×	`prod-diff`
117×	`times-frac`
100×	`*-un-lft-identity`
97×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
51×	`associate--r+`
39×	`div-inv`
16×	`distribute-rgt-out--`
14×	`add-cbrt-cube` `add-exp-log`
11×	`add-log-exp`
10×	`fma-neg`
7×	`distribute-lft-out--`
6×	`associate-/r*`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `diff-log` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg`
2×	`clear-num` `frac-2neg` `flip3--` `prod-exp` `cbrt-unprod` `flip--` `associate-/l*`
1×	`frac-sub` `sub-div` `associate--r-`

Counts

4 → 228

Calls

4 calls:

40.0ms	(- x (- (/ (* z y) a) (/ (* t y) a)))
23.0ms	(- (/ (* z y) a) (/ (* t y) a))
17.0ms	(/ (* z y) a)
18.0ms	(/ (* t y) a)

series222.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(- x (- (/ (* z y) a) (/ (* t y) a)))
69.0ms	(- (/ (* z y) a) (/ (* t y) a))
24.0ms	(/ (* z y) a)
34.0ms	(/ (* t y) a)

simplify2.6s

Counts

240 → 240

Iterations

Iter	Nodes
done	5000
2	2310
1	842
0	328

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes486.0ms

Accuracy

60% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 3.0b

bsearch125.0ms

Steps

Iters	Range		Point
9	2.9919561581120977e+75	7.957287240066041e+80	2.2026776871235658e+77
9	-3.703727175560607e-85	-1.3619356754056674e-90	-3.6583546044435786e-85

simplify8.0ms

Iterations

Iter	Nodes
done	34
1	34
0	29

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

10639×

body

valid