Details

sample102.0ms

Algorithm

intervals

Results

23.0ms

397×

body

valid

simplify5.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	40	9
3	89	9
4	126	9
5	173	9
6	315	9
7	783	9
8	2564	9
done	5001	9

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.0b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.1b	(* 0.12900613773279798 (* x x))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

7.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
29.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
26.0ms	(* 0.12900613773279798 (* x x))

series283.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
132.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
48.0ms	(* 0.12900613773279798 (* x x))

simplify2.8s

Counts

82 → 82

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	109	964
1	235	926
2	671	807
3	2588	783
done	5000	723

prune223.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3)))
0.2b	(* 0.12900613773279798 (pow x 3))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 49

Calls

2 calls:

9.0ms	(- (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3)))
14.0ms	(* 0.12900613773279798 (pow x 3))

series208.0ms

Counts

2 → 6

Calls

2 calls:

167.0ms	(- (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3)))
42.0ms	(* 0.12900613773279798 (pow x 3))

simplify3.2s

Counts

55 → 55

Iterations

Useful iterations: 3 (857.0ms)

Iter	Nodes	Cost
0	86	541
1	200	488
2	619	453
3	3255	451
done	5001	451

prune116.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
0.0b	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
0.2b	(* (sqrt 0.12900613773279798) (* x x))
0.2b	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

18.0ms	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
38.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
46.0ms	(* (sqrt 0.12900613773279798) (* x x))
91.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

series612.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
284.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
72.0ms	(* (sqrt 0.12900613773279798) (* x x))
97.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

simplify3.8s

Counts

115 → 115

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	134	1736
1	298	1206
2	914	1068
3	4048	1018
done	5000	1018

prune259.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.12900613773279798 (* x x))
0.2b	(* (- (* 0.12900613773279798 0.12900613773279798)) (pow x 4))
0.2b	(* x (fma 0.954929658551372 0.954929658551372 (* (- (* 0.12900613773279798 0.12900613773279798)) (pow x 4))))
7.2b	(/ (* x (fma 0.954929658551372 0.954929658551372 (* (- (* 0.12900613773279798 0.12900613773279798)) (pow x 4)))) (+ 0.954929658551372 (* 0.12900613773279798 (* x x))))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
20×	`add-sqr-sqrt`
18×	`add-cbrt-cube`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
11×	`pow1` `associate-r`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `unpow-prod-down` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/r` `-commutative`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `fma-udef` `sqr-pow`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-in` `pow-to-exp` `neg-mul-1` `distribute-rgt-neg-in` `frac-2neg` `distribute-lft-in` `flip3-+` `pow-exp` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 99

Calls

4 calls:

36.0ms	(* 0.12900613773279798 (* x x))
29.0ms	(* (- (* 0.12900613773279798 0.12900613773279798)) (pow x 4))
14.0ms	(* x (fma 0.954929658551372 0.954929658551372 (* (- (* 0.12900613773279798 0.12900613773279798)) (pow x 4))))
15.0ms	(/ (* x (fma 0.954929658551372 0.954929658551372 (* (- (* 0.12900613773279798 0.12900613773279798)) (pow x 4)))) (+ 0.954929658551372 (* 0.12900613773279798 (* x x))))

series596.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* 0.12900613773279798 (* x x))
62.0ms	(* (- (* 0.12900613773279798 0.12900613773279798)) (pow x 4))
195.0ms	(* x (fma 0.954929658551372 0.954929658551372 (* (- (* 0.12900613773279798 0.12900613773279798)) (pow x 4))))
291.0ms	(/ (* x (fma 0.954929658551372 0.954929658551372 (* (- (* 0.12900613773279798 0.12900613773279798)) (pow x 4)))) (+ 0.954929658551372 (* 0.12900613773279798 (* x x))))

simplify1.5s

Counts

111 → 111

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	175	1695
1	424	1629
2	1729	1395
done	5000	1224

prune352.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes38.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	9	9
done	9	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

983.0ms

12014×

body

valid