Details

sample38.0ms

Algorithm

intervals

Results

18.0ms

274×

body

valid

simplify98.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	144
6	144
5	142
4	102
3	67
2	40
1	21
0	9

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.8b

localize22.0ms

Local error

Found 2 expressions with local error:

3.4b	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.2b	(* y (+ 1.0 (* z z)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

31×	`times-frac`
20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/l*`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-*r/`
3×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod` `div-inv`
2×	`expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `unswap-sqr` `associate-/l/`

Counts

2 → 74

Calls

2 calls:

32.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
26.0ms	(* y (+ 1.0 (* z z)))

series154.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
72.0ms	(* y (+ 1.0 (* z z)))

simplify1.1s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	2235
1	446
0	160

prune443.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.8b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1.0 y) (* (* y z) z))
0.2b	(* (* y z) z)
3.4b	(/ (/ 1.0 x) (+ (* 1.0 y) (* (* y z) z)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
46×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
8×	`pow1`
5×	`div-inv` `add-log-exp`
3×	`expm1-log1p-u` `cbrt-undiv` `associate-/r` `div-exp` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `associate-l` `*-commutative` `associate-/l/`

Counts

3 → 108

Calls

3 calls:

6.0ms	(+ (* 1.0 y) (* (* y z) z))
13.0ms	(* (* y z) z)
15.0ms	(/ (/ 1.0 x) (+ (* 1.0 y) (* (* y z) z)))

series254.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+ (* 1.0 y) (* (* y z) z))
47.0ms	(* (* y z) z)
128.0ms	(/ (/ 1.0 x) (+ (* 1.0 y) (* (* y z) z)))

simplify1.3s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	2819
1	558
0	215

prune617.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.8b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
3.4b	(/ (/ 1.0 x) (+ (* 1.0 y) (* (* (* y z) (* (cbrt z) (cbrt z))) (cbrt z))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
49×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-/l*`
9×	`cbrt-prod` `add-cbrt-cube` `add-exp-log`
5×	`div-inv`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/r*` `pow1/3` `div-exp`
2×	`associate-/r/`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `associate-/l/`

Counts

4 → 113

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
19.0ms	(/ (/ 1.0 x) (+ (* 1.0 y) (* (* (* y z) (* (cbrt z) (cbrt z))) (cbrt z))))

series1.0s

Counts

4 → 12

Calls

4 calls:

292.0ms	(cbrt z)
292.0ms	(cbrt z)
271.0ms	(cbrt z)
158.0ms	(/ (/ 1.0 x) (+ (* 1.0 y) (* (* (* y z) (* (cbrt z) (cbrt z))) (cbrt z))))

simplify1.1s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	2160
1	500
0	201

prune907.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.8b

localize27.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma z (* y z) (* y 1.0))
0.4b	(/ 1 (/ (* (fma z (* y z) (* y 1.0)) x) 1.0))
3.3b	(* (fma z (* y z) (* y 1.0)) x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

33×	`times-frac`
26×	`add-exp-log`
23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
14×	`add-cbrt-cube`
12×	`div-exp`
7×	`associate-/r*`
6×	`pow1`
5×	`cbrt-undiv` `div-inv`
4×	`prod-exp`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-r` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`cbrt-unprod`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-/r/` `*-commutative` `fma-udef` `pow-flip` `inv-pow` `unswap-sqr`

Counts

3 → 88

Calls

3 calls:

0.0ms	(fma z (* y z) (* y 1.0))
21.0ms	(/ 1 (/ (* (fma z (* y z) (* y 1.0)) x) 1.0))
11.0ms	(* (fma z (* y z) (* y 1.0)) x)

series239.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(fma z (* y z) (* y 1.0))
95.0ms	(/ 1 (/ (* (fma z (* y z) (* y 1.0)) x) 1.0))
83.0ms	(* (fma z (* y z) (* y 1.0)) x)

simplify876.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	5002
2	1818
1	400
0	162

prune325.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.8b

regimes492.0ms

Accuracy

0% (1.5b remaining)

Error of 3.4b against oracle of 1.9b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample949.0ms

Algorithm

intervals

Results

579.0ms

8615×

body

valid