Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

375×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	163
1	13	163
2	35	163
3	90	163
4	150	163
5	157	163
6	176	163
7	248	163
8	482	163
9	1258	163
done	5000	163

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

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:

25.0ms

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

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

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

simplify1.5s

Counts

36 → 36

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	77	11092
1	236	9494
2	1762	9082
done	5001	9002

prune153.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))))

rewrite46.0ms

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:

17.0ms	(* x (- 3.0 (* x 2.0)))
27.0ms	(* x (* x (- 3.0 (* x 2.0))))

series203.0ms

Counts

2 → 6

Calls

2 calls:

103.0ms	(* x (- 3.0 (* x 2.0)))
100.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify1.4s

Counts

80 → 80

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	117	23269
1	338	20957
2	1759	19691
done	5000	19571

prune335.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite101.0ms

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:

12.0ms	(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
34.0ms	(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
29.0ms	(* x (/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0))))
21.0ms	(/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

series670.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
149.0ms	(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
208.0ms	(* x (/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0))))
230.0ms	(/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

simplify2.1s

Counts

116 → 116

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	155	39143
1	457	32919
2	2613	31905
done	5001	31760

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
23×	`add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `associate-l`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `*-commutative`
2×	`unswap-sqr`
1×	`pow2` `sub-neg` `pow-plus` `flip3--` `fma-neg` `diff-log` `cube-unmult` `prod-diff` `pow-sqr` `flip--`

Counts

4 → 86

Calls

4 calls:

72.0ms	(* 2.0 (* x (* x x)))
26.0ms	(- (* 3.0 (* x x)) (* 2.0 (* x (* x x))))
13.0ms	(* x (* x x))
14.0ms	(* 3.0 (* x x))

series281.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* 2.0 (* x (* x x)))
117.0ms	(- (* 3.0 (* x x)) (* 2.0 (* x (* x x))))
63.0ms	(* x (* x x))
50.0ms	(* 3.0 (* x x))

simplify2.0s

Counts

98 → 98

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	115	19606
1	334	16008
2	2170	14566
done	5002	14541

prune281.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	374
1	11	374
done	11	374

end0.0ms

sample678.0ms

Algorithm

intervals

Results

504.0ms

12101×

body

valid