Details

sample19.0ms

Algorithm

intervals

Results

6.0ms

320×

body

valid

simplify184.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	16	7
2	44	7
3	98	7
4	158	7
5	202	7
done	202	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ z 1.0))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`flip3-+` `flip-+`
5×	`add-sqr-sqrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
2×	`associate-r/` `associate-l/` `distribute-lft-out`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

62.0ms

(* (+ x y) (+ z 1.0))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(* (+ x y) (+ z 1.0))

simplify1.8s

Counts

35 → 35

Iterations

Useful iterations: 2 (219.0ms)

Iter	Nodes	Cost
0	81	431
1	277	405
2	1149	377
done	5000	377

prune129.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

1.7b	(* (+ x y) (- (* z z) (* 1.0 1.0)))
11.1b	(/ (* (+ x y) (- (* z z) (* 1.0 1.0))) (- z 1.0))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
7×	`flip3--` `flip--`
6×	`add-cube-cbrt` `flip3-+` `flip-+`
5×	`times-frac` `associate-/r*`
4×	`pow1` `associate-r/` `associate-r` `associate-l` `associate-l/`
3×	`distribute-rgt-in` `distribute-lft-in` `difference-of-squares`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-diff` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

2 → 73

Calls

2 calls:

84.0ms	(* (+ x y) (- (* z z) (* 1.0 1.0)))
77.0ms	(/ (* (+ x y) (- (* z z) (* 1.0 1.0))) (- z 1.0))

series214.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(* (+ x y) (- (* z z) (* 1.0 1.0)))
118.0ms	(/ (* (+ x y) (- (* z z) (* 1.0 1.0))) (- z 1.0))

simplify1.9s

Counts

79 → 79

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	156	1490
1	478	1390
2	2239	1198
done	5000	1101

prune284.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (+ x y) (sqrt (+ z 1.0)))
0.1b	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

42×	`sqrt-div`
33×	`flip3-+` `flip-+`
32×	`frac-times`
16×	`associate-*l/`
14×	`associate-r`
13×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

2 → 84

Calls

2 calls:

68.0ms	(* (+ x y) (sqrt (+ z 1.0)))
100.0ms	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

series140.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* (+ x y) (sqrt (+ z 1.0)))
56.0ms	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

simplify1.0s

Counts

90 → 90

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	163	1850
1	440	1532
2	1317	1379
done	5000	1373

prune237.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (+ z 1.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

25.0ms

(* y (+ z 1.0))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* y (+ z 1.0))

simplify4.5s

Counts

28 → 28

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	48	206
1	130	195
2	405	175
3	1386	175
4	4676	175
done	5000	175

prune53.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes213.0ms

Accuracy

97.4% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 12.2b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	19	27
done	19	27

end0.0ms

sample603.0ms

Algorithm

intervals

Results

231.0ms	10094×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid