Details

sample106.0ms

Algorithm

intervals

Results

21.0ms

361×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

3.0ms

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

series194.0ms

Counts

1 → 3

Calls

1 calls:

194.0ms

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

simplify4.3s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	3705
3	456
2	93
1	36
0	20

prune91.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

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:

7.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
42.0ms	(* 0.12900613773279798 (* (* x x) x))
15.0ms	(* (* x x) x)

series187.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
43.0ms	(* 0.12900613773279798 (* (* x x) x))
36.0ms	(* (* x x) x)

simplify1.4s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	1744
1	274
0	91

prune229.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-l`
12×	`distribute-lft-neg-in` `add-sqr-sqrt` `distribute-rgt-neg-in`
10×	`*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-r`
2×	`expm1-log1p-u` `cube-mult` `unpow3` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`distribute-lft-neg-out` `neg-mul-1` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 56

Calls

2 calls:

0.0ms	(fma 0.954929658551372 x (* (- (pow x 3)) 0.12900613773279798))
26.0ms	(* (- (pow x 3)) 0.12900613773279798)

series175.0ms

Counts

2 → 6

Calls

2 calls:

116.0ms	(fma 0.954929658551372 x (* (- (pow x 3)) 0.12900613773279798))
59.0ms	(* (- (pow x 3)) 0.12900613773279798)

simplify608.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
2	819
1	187
0	83

prune251.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`associate-l`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-neg-in` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`distribute-lft-neg-out` `neg-mul-1` `fma-udef`

Counts

3 → 61

Calls

3 calls:

0.0ms	(fma 0.954929658551372 x (* (- x) (* x (* x 0.12900613773279798))))
69.0ms	(* (- x) (* x (* x 0.12900613773279798)))
13.0ms	(* x (* x 0.12900613773279798))

series217.0ms

Counts

3 → 9

Calls

3 calls:

140.0ms	(fma 0.954929658551372 x (* (- x) (* x (* x 0.12900613773279798))))
45.0ms	(* (- x) (* x (* x 0.12900613773279798)))
31.0ms	(* x (* x 0.12900613773279798))

simplify844.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1256
1	211
0	85

prune267.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	16
3	16
2	15
1	11
0	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

11958×

body

valid