Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

303×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	4445
10	1808
9	704
8	290
7	124
6	56
5	52
4	46
3	37
2	24
1	16
0	6

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

5.1b	(fma (/ x z) y 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` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ x z) y x)

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(fma (/ x z) y x)

simplify3.3s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
5	3865
4	682
3	162
2	51
1	25
0	18

prune106.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x z) y) x)
6.7b	(* (/ x z) y)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `div-inv`

Counts

2 → 48

Calls

2 calls:

16.0ms	(+ (* (/ x z) y) x)
24.0ms	(* (/ x z) y)

series77.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ (* (/ x z) y) x)
24.0ms	(* (/ x z) y)

simplify1.1s

Counts

54 → 54

Iterations

Iter	Nodes
done	5001
2	1104
1	225
0	91

prune298.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (/ y z)) x)
5.4b	(* x (/ y z))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `div-inv`

Counts

2 → 48

Calls

2 calls:

16.0ms	(+ (* x (/ y z)) x)
25.0ms	(* x (/ y z))

series74.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* x (/ y z)) x)
39.0ms	(* x (/ y z))

simplify1.1s

Counts

54 → 54

Iterations

Iter	Nodes
done	5001
2	1059
1	252
0	93

prune343.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (* x y) z) x)
6.9b	(/ (* x y) z)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`fma-def` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
4×	`add-log-exp`
3×	`associate-/r*`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `log1p-expm1-u` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `distribute-lft-out` `associate-/l*`

Counts

2 → 44

Calls

2 calls:

24.0ms	(+ (/ (* x y) z) x)
8.0ms	(/ (* x y) z)

series89.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ (/ (* x y) z) x)
38.0ms	(/ (* x y) z)

simplify1.0s

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
2	950
1	189
0	71

prune233.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes269.0ms

Accuracy

47% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 3.0b

bsearch84.0ms

Steps

Iters	Range		Point
8	5.613440721446712e-13	1.6991951531360092e-10	1.8510107269723486e-12
7	-5.722918860320798e-97	-2.1084843274570222e-98	-4.459073850942771e-97

simplify5.0ms

Iterations

Iter	Nodes
done	22
1	22
0	15

end0.0ms

sample787.0ms

Algorithm

intervals

Results

390.0ms

9616×

body

valid