Details

sample52.0ms

Algorithm

intervals

Results

22.0ms

322×

body

valid

simplify6.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
22	4863
21	4591
20	4378
19	4109
18	3894
17	3623
16	3410
15	3141
14	2926
13	2655
12	2429
11	1597
10	681
9	292
8	167
7	124
6	98
5	78
4	61
3	40
2	24
1	14
0	8

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x y (* (- 1.0 y) z))
0.0b	(* (- 1.0 y) z)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

1.0ms	(fma x y (* (- 1.0 y) z))
40.0ms	(* (- 1.0 y) z)

series149.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(fma x y (* (- 1.0 y) z))
64.0ms	(* (- 1.0 y) z)

simplify3.7s

Counts

42 → 42

Iterations

Iter	Nodes
done	5001
3	1542
2	364
1	137
0	66

prune511.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 113

Calls

4 calls:

66.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
11.0ms	(cbrt (- 1.0 y))
8.0ms	(cbrt (- 1.0 y))
7.0ms	(cbrt (- 1.0 y))

series775.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
144.0ms	(cbrt (- 1.0 y))
195.0ms	(cbrt (- 1.0 y))
243.0ms	(cbrt (- 1.0 y))

simplify4.2s

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
3	2153
2	879
1	357
0	156

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`cbrt-div` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 72

Calls

4 calls:

11.0ms	(cbrt (- 1.0 y))
11.0ms	(cbrt (- 1.0 y))
16.0ms	(cbrt (- 1.0 y))
11.0ms	(cbrt (- 1.0 y))

series1.0s

Counts

4 → 12

Calls

4 calls:

575.0ms	(cbrt (- 1.0 y))
141.0ms	(cbrt (- 1.0 y))
162.0ms	(cbrt (- 1.0 y))
163.0ms	(cbrt (- 1.0 y))

simplify7.0s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
4	4637
3	1328
2	481
1	197
0	86

prune1.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y)))
2.2b	(* (- (* 1.0 1.0) (* y y)) z)
6.2b	(/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

1.0ms	(fma x y (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y)))
40.0ms	(* (- (* 1.0 1.0) (* y y)) z)
34.0ms	(/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))

series288.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(fma x y (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y)))
64.0ms	(* (- (* 1.0 1.0) (* y y)) z)
96.0ms	(/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))

simplify3.0s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	1243
1	328
0	120

prune956.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes592.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

521.0ms

10182×

body

valid