Details

sample103.0ms

Algorithm

intervals

Results

23.0ms

372×

body

valid

simplify5.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (20.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.1b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b	(* 0.12900613773279798 (* x x))

rewrite68.0ms

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:

14.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
20.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
28.0ms	(* 0.12900613773279798 (* x x))

series290.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
147.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
56.0ms	(* 0.12900613773279798 (* x x))

simplify2.6s

Counts

82 → 82

Iterations

Useful iterations: done (2.6s)

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

prune219.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3)))
0.1b	(* 0.12900613773279798 (pow x 3))

rewrite50.0ms

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:

17.0ms	(- (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3)))
25.0ms	(* 0.12900613773279798 (pow x 3))

series230.0ms

Counts

2 → 6

Calls

2 calls:

167.0ms	(- (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3)))
63.0ms	(* 0.12900613773279798 (pow x 3))

simplify3.1s

Counts

55 → 55

Iterations

Useful iterations: 3 (901.0ms)

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

prune184.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
0.1b	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
0.2b	(* (* 0.12900613773279798 x) x)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

6.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
26.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
27.0ms	(* (* 0.12900613773279798 x) x)

series274.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
148.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
39.0ms	(* (* 0.12900613773279798 x) x)

simplify3.5s

Counts

81 → 81

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	108	959
1	239	925
2	777	804
3	2961	773
done	5000	704

prune203.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b

(- (* x 0.954929658551372) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3))))

0.2b

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))

0.2b

(* (sqrt 0.12900613773279798) (pow x 3))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

17.0ms

(- (* x 0.954929658551372) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3))))

35.0ms

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))

35.0ms

(* (sqrt 0.12900613773279798) (pow x 3))

series464.0ms

Counts

3 → 9

Calls

3 calls:

232.0ms

(- (* x 0.954929658551372) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3))))

132.0ms

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))

99.0ms

(* (sqrt 0.12900613773279798) (pow x 3))

simplify1.9s

Counts

89 → 89

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	111	1105
1	267	804
2	965	768
done	5001	744

prune208.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes43.0ms

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	11	13
1	15	13
done	15	13

end0.0ms

sample897.0ms

Algorithm

intervals

Results

630.0ms

11905×

body

valid