Details

sample398.0ms

Algorithm

intervals

Results

67.0ms

261×

body

valid

simplify3.9s

Counts

1 → 1

Iterations

Iter	Nodes
12	4770
11	1244
10	664
9	443
8	381
7	347
6	321
5	268
4	221
3	134
2	65
1	25
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
19.1b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-cbrt-cube` `add-exp-log`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`swap-sqr` `add-cube-cbrt` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-r` `associate-l` `associate-l/` `associate-r/`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `pow-prod-down` `distribute-frac-neg` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 76

Calls

2 calls:

37.0ms	(* (+ t1 u) (+ t1 u))
18.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series122.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (+ t1 u) (+ t1 u))
106.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify539.0ms

Counts

82 → 82

Iterations

Iter	Nodes
2	2016
1	421
0	118

prune697.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
1.5b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
108×	`times-frac`
81×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
46×	`associate-l`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`add-cbrt-cube` `add-exp-log`
18×	`associate-r`
13×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `distribute-frac-neg`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 201

Calls

3 calls:

9.0ms	(/ (- t1) (+ t1 u))
8.0ms	(/ v (+ t1 u))
44.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series790.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(/ (- t1) (+ t1 u))
35.0ms	(/ v (+ t1 u))
672.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify2.9s

Counts

210 → 210

Iterations

Iter	Nodes
3	7826
2	1967
1	638
0	222

prune2.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.5b	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
3.9b	(* (/ (- t1) (+ t1 u)) v)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
85×	`times-frac`
60×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
46×	`associate-l`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
23×	`distribute-lft-out`
19×	`add-cbrt-cube` `add-exp-log`
11×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*`
6×	`cbrt-undiv` `div-exp` `associate-/r/`
5×	`pow1`
4×	`prod-exp` `distribute-frac-neg` `cbrt-unprod`
3×	`expm1-log1p-u` `flip3-+` `associate-r` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`distribute-lft-neg-out` `clear-num` `frac-2neg` `associate-*l/` `unswap-sqr`
1×	`neg-sub0` `div-sub` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 174

Calls

3 calls:

19.0ms	(/ (- t1) (+ t1 u))
36.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
35.0ms	(* (/ (- t1) (+ t1 u)) v)

series360.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (- t1) (+ t1 u))
185.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
117.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify2.8s

Counts

183 → 183

Iterations

Iter	Nodes
3	6570
2	1454
1	515
0	201

prune1.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.6b	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
3.9b	(* (/ (- t1) (+ t1 u)) v)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

109×	`*-un-lft-identity`
93×	`times-frac`
66×	`add-sqr-sqrt`
61×	`add-cube-cbrt`
49×	`add-exp-log`
47×	`associate-l`
31×	`add-cbrt-cube`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
24×	`distribute-lft-out`
22×	`prod-exp`
21×	`associate-r`
12×	`div-exp` `cbrt-unprod`
10×	`pow1` `associate-/l*`
9×	`neg-mul-1`
7×	`cbrt-undiv`
6×	`associate-/r/`
4×	`associate-/r` `pow-prod-down` `associate-l/`
3×	`distribute-lft-neg-out` `expm1-log1p-u` `rec-exp` `flip3-+` `1-exp` `distribute-frac-neg` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`neg-sub0` `frac-times` `clear-num` `frac-2neg` `div-sub` `associate-*r/` `un-div-inv`

Counts

3 → 197

Calls

3 calls:

19.0ms	(/ (- t1) (+ t1 u))
64.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
32.0ms	(* (/ (- t1) (+ t1 u)) v)

series404.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- t1) (+ t1 u))
223.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
128.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify3.1s

Counts

206 → 206

Iterations

Iter	Nodes
3	7082
2	1836
1	647
0	240

prune1.9s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes203.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
5	25
4	25
3	23
2	16
1	12
0	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

830.0ms

8269×

body

valid