Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

389×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
11	1127
10	442
9	263
8	200
7	171
6	154
5	144
4	137
3	88
2	34
1	13
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x x) (- 3.0 (* x 2.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

24.0ms

(* (* x x) (- 3.0 (* x 2.0)))

series138.0ms

Counts

1 → 3

Calls

1 calls:

138.0ms

(* (* x x) (- 3.0 (* x 2.0)))

simplify2.5s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
3	3860
2	826
1	228
0	77

prune108.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- 3.0 (* x 2.0)))
0.2b	(* x (* x (- 3.0 (* x 2.0))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

25×	`distribute-rgt-in` `distribute-lft-in`
18×	`prod-diff`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`sub-neg` `associate-l` `associate-*r/`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `log1p-expm1-u` `flip--` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 74

Calls

2 calls:

14.0ms	(* x (- 3.0 (* x 2.0)))
27.0ms	(* x (* x (- 3.0 (* x 2.0))))

series211.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(* x (- 3.0 (* x 2.0)))
105.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify1.4s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	998
1	306
0	117

prune280.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
0.1b	(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
0.2b	(* x (/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0))))
0.3b	(/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

14.0ms	(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
41.0ms	(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
33.0ms	(* x (/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0))))
36.0ms	(/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

series676.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
114.0ms	(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
244.0ms	(* x (/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0))))
235.0ms	(/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

simplify2.2s

Counts

116 → 116

Iterations

Iter	Nodes
done	5002
2	1836
1	456
0	155

prune508.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- 3.0 (* x 2.0)))
0.2b	(/ (* x x) (/ 1 (- 3.0 (* x 2.0))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
28×	`add-exp-log`
24×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`associate-/r*`
16×	`add-cbrt-cube`
14×	`div-exp`
7×	`cbrt-undiv` `associate-/r/`
4×	`prod-exp` `div-inv` `associate-/l*`
3×	`pow1` `rec-exp` `flip3--` `1-exp` `flip--`
2×	`expm1-log1p-u` `clear-num` `frac-2neg` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 91

Calls

2 calls:

8.0ms	(/ 1 (- 3.0 (* x 2.0)))
15.0ms	(/ (* x x) (/ 1 (- 3.0 (* x 2.0))))

series121.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ 1 (- 3.0 (* x 2.0)))
84.0ms	(/ (* x x) (/ 1 (- 3.0 (* x 2.0))))

simplify1.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1618
1	454
0	164

prune385.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes64.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample694.0ms

Algorithm

intervals

Results

503.0ms

11987×

body

valid