Details

sample21.0ms

Algorithm

intervals

Results

7.0ms

301×

body

valid

simplify52.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	89
5	89
4	83
3	52
2	24
1	11
0	7

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize14.0ms

Local error

Found 1 expressions with local error:

3.4b	(* (- 1.0 (* y z)) x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

18.0ms

(* (- 1.0 (* y z)) x)

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* (- 1.0 (* y z)) x)

simplify614.0ms

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
2	510
1	121
0	49

prune206.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.0b	(* (* (fma (- y) z 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
2.7b	(* (fma (- y) z 1.0) (* (cbrt x) (cbrt x)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
11×	`add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`cbrt-prod` `*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
7×	`associate-r`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
91.0ms	(* (* (fma (- y) z 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
35.0ms	(* (fma (- y) z 1.0) (* (cbrt x) (cbrt x)))

series939.0ms

Counts

4 → 12

Calls

4 calls:

293.0ms	(cbrt x)
291.0ms	(cbrt x)
102.0ms	(* (* (fma (- y) z 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
253.0ms	(* (fma (- y) z 1.0) (* (cbrt x) (cbrt x)))

simplify925.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
2	1441
1	255
0	98

prune426.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (fma (- y) z 1.0)) x)
0.1b	(* (sqrt (- 1.0 (* y z))) (* (sqrt (fma (- y) z 1.0)) x))
1.5b	(sqrt (fma (- y) z 1.0))
1.5b	(sqrt (- 1.0 (* y z)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-l`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `sqrt-div` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-l/` `-commutative` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (sqrt (fma (- y) z 1.0)) x)
29.0ms	(* (sqrt (- 1.0 (* y z))) (* (sqrt (fma (- y) z 1.0)) x))
1.0ms	(sqrt (fma (- y) z 1.0))
6.0ms	(sqrt (- 1.0 (* y z)))

series685.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (sqrt (fma (- y) z 1.0)) x)
238.0ms	(* (sqrt (- 1.0 (* y z))) (* (sqrt (fma (- y) z 1.0)) x))
140.0ms	(sqrt (fma (- y) z 1.0))
139.0ms	(sqrt (- 1.0 (* y z)))

simplify742.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1610
1	358
0	145

prune584.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (/ (* z x) (/ (sqrt 1.0) y)) (- 1.0) (* (sqrt 1.0) x))
6.3b	(/ (* z x) (/ (sqrt 1.0) y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
28×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
22×	`associate-/r*`
18×	`sqrt-prod`
14×	`add-cbrt-cube` `add-exp-log`
6×	`cbrt-undiv` `div-exp`
3×	`div-inv`
2×	`expm1-log1p-u` `pow1` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `associate-/r/` `fma-udef` `associate-/l*`

Counts

2 → 76

Calls

2 calls:

1.0ms	(fma (/ (* z x) (/ (sqrt 1.0) y)) (- 1.0) (* (sqrt 1.0) x))
25.0ms	(/ (* z x) (/ (sqrt 1.0) y))

series820.0ms

Counts

2 → 6

Calls

2 calls:

645.0ms	(fma (/ (* z x) (/ (sqrt 1.0) y)) (- 1.0) (* (sqrt 1.0) x))
175.0ms	(/ (* z x) (/ (sqrt 1.0) y))

simplify1.0s

Counts

82 → 82

Iterations

Iter	Nodes
done	5002
2	2360
1	429
0	167

prune371.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes391.0ms

Accuracy

96.2% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	30
1	30
0	24

end0.0ms

sample870.0ms

Algorithm

intervals

Results

423.0ms

9602×

body

valid