Details

sample247.0ms

Algorithm

intervals

Results

29.0ms

380×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1338
6	508
5	258
4	161
3	91
2	40
1	16
0	8

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite99.0ms

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` `log1p-expm1-u`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow3` `flip--` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

20.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
24.0ms	(* (* x x) x)
52.0ms	(* 0.12900613773279798 (* (* x x) x))

series309.0ms

Counts

3 → 9

Calls

3 calls:

180.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
68.0ms	(* (* x x) x)
62.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify1.6s

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	1561
1	267
0	91

prune296.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

13.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
22.0ms	(* 0.12900613773279798 (pow x 3))

series184.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
67.0ms	(* 0.12900613773279798 (pow x 3))

simplify1.3s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
2	909
1	217
0	84

prune204.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite61.0ms

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` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--`
1×	`diff-log` `unswap-sqr`

Counts

3 → 72

Calls

3 calls:

9.0ms	(- 0.954929658551372 (* (* x 0.12900613773279798) x))
27.0ms	(* x (- 0.954929658551372 (* (* x 0.12900613773279798) x)))
21.0ms	(* (* x 0.12900613773279798) x)

series249.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(- 0.954929658551372 (* (* x 0.12900613773279798) x))
146.0ms	(* x (- 0.954929658551372 (* (* x 0.12900613773279798) x)))
29.0ms	(* (* x 0.12900613773279798) x)

simplify1.6s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
2	1746
1	282
0	109

prune381.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 0.12900613773279798) x)
0.2b	(* (* x 0.12900613773279798) x)
0.2b	(* (* x 0.12900613773279798) x)
4.4b	(/ (- (* 0.954929658551372 0.954929658551372) (* (* (* x 0.12900613773279798) x) (* (* x 0.12900613773279798) x))) (+ 0.954929658551372 (* (* x 0.12900613773279798) x)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube` `add-exp-log`
19×	`pow1`
16×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
9×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `difference-of-squares`
3×	`associate-/r` `associate-l` `-commutative`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `flip-+` `div-inv` `flip--`

Counts

4 → 98

Calls

4 calls:

13.0ms	(* (* x 0.12900613773279798) x)
20.0ms	(* (* x 0.12900613773279798) x)
26.0ms	(* (* x 0.12900613773279798) x)
44.0ms	(/ (- (* 0.954929658551372 0.954929658551372) (* (* (* x 0.12900613773279798) x) (* (* x 0.12900613773279798) x))) (+ 0.954929658551372 (* (* x 0.12900613773279798) x)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* x 0.12900613773279798) x)
28.0ms	(* (* x 0.12900613773279798) x)
40.0ms	(* (* x 0.12900613773279798) x)
217.0ms	(/ (- (* 0.954929658551372 0.954929658551372) (* (* (* x 0.12900613773279798) x) (* (* x 0.12900613773279798) x))) (+ 0.954929658551372 (* (* x 0.12900613773279798) x)))

simplify1.8s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	2081
1	318
0	116

prune402.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample824.0ms

Algorithm

intervals

Results

631.0ms

12048×

body

valid