Details

sample142.0ms

Algorithm

intervals

Results

43.0ms

391×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
8	2255
7	733
6	296
5	170
4	122
3	86
2	39
1	16
0	8

prune11.0ms

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
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` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--`
1×	`diff-log` `unswap-sqr`

Counts

3 → 75

Calls

3 calls:

9.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
25.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
33.0ms	(* (* 0.12900613773279798 x) x)

series291.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
155.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
58.0ms	(* (* 0.12900613773279798 x) x)

simplify1.6s

Counts

84 → 84

Iterations

Iter	Nodes
3	3131
2	777
1	251
0	111

prune564.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 0.12900613773279798 x) x)
0.2b	(* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x)))
22.1b	(sqrt (* (* 0.12900613773279798 x) x))
22.1b	(sqrt (* (* 0.12900613773279798 x) x))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log` `pow-sqr`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

14.0ms	(* (* 0.12900613773279798 x) x)
97.0ms	(* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x)))
11.0ms	(sqrt (* (* 0.12900613773279798 x) x))
11.0ms	(sqrt (* (* 0.12900613773279798 x) x))

series265.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* 0.12900613773279798 x) x)
136.0ms	(* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x)))
53.0ms	(sqrt (* (* 0.12900613773279798 x) x))
46.0ms	(sqrt (* (* 0.12900613773279798 x) x))

simplify1.9s

Counts

132 → 132

Iterations

Iter	Nodes
3	2496
2	675
1	206
0	90

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* 0.12900613773279798 x) x)) (cbrt (* (* 0.12900613773279798 x) x)))
23.0b	(cbrt (* (* 0.12900613773279798 x) x))
23.0b	(cbrt (* (* 0.12900613773279798 x) x))
23.0b	(cbrt (* (* 0.12900613773279798 x) x))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

50.0ms	(* (cbrt (* (* 0.12900613773279798 x) x)) (cbrt (* (* 0.12900613773279798 x) x)))
14.0ms	(cbrt (* (* 0.12900613773279798 x) x))
10.0ms	(cbrt (* (* 0.12900613773279798 x) x))
10.0ms	(cbrt (* (* 0.12900613773279798 x) x))

series1.3s

Counts

4 → 12

Calls

4 calls:

363.0ms	(* (cbrt (* (* 0.12900613773279798 x) x)) (cbrt (* (* 0.12900613773279798 x) x)))
337.0ms	(cbrt (* (* 0.12900613773279798 x) x))
320.0ms	(cbrt (* (* 0.12900613773279798 x) x))
310.0ms	(cbrt (* (* 0.12900613773279798 x) x))

simplify5.0s

Counts

82 → 82

Iterations

Iter	Nodes
5	6868
4	1952
3	687
2	298
1	123
0	57

prune744.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b	(* (* x x) x)
0.3b	(* 0.12900613773279798 (* (* x x) x))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow3` `flip--` `unswap-sqr`

Counts

3 → 72

Calls

3 calls:

8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
22.0ms	(* (* x x) x)
68.0ms	(* 0.12900613773279798 (* (* x x) x))

series281.0ms

Counts

3 → 9

Calls

3 calls:

172.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
63.0ms	(* (* x x) x)
46.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify1.4s

Counts

81 → 81

Iterations

Iter	Nodes
3	2699
2	703
1	250
0	94

prune574.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes33.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	12
1	12
0	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

12085×

body

valid