Details

sample125.0ms

Algorithm

intervals

Results

81.0ms

619×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3070
4	1269
3	422
2	153
1	51
0	18

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
0.1b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.8b	(* (* b b) (+ 3.0 a))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-sqr-sqrt` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`associate-r`
10×	`add-cube-cbrt`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `flip-+` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down` `flip3--` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

96.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
52.0ms	(* (* a a) (- 1.0 a))
8.0ms	(pow (+ (* a a) (* b b)) 2.0)
24.0ms	(* (* b b) (+ 3.0 a))

series349.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
74.0ms	(* (* a a) (- 1.0 a))
143.0ms	(pow (+ (* a a) (* b b)) 2.0)
48.0ms	(* (* b b) (+ 3.0 a))

simplify2.3s

Counts

106 → 106

Iterations

Iter	Nodes
done	5004
2	2907
1	686
0	215

prune676.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (* b b) (+ 3.0 a))
21.6b	(cbrt (* (* b b) (+ 3.0 a)))
21.6b	(cbrt (* (* b b) (+ 3.0 a)))
21.6b	(cbrt (* (* b b) (+ 3.0 a)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`associate-*r/`
7×	`*-un-lft-identity`
6×	`add-sqr-sqrt` `cbrt-div`
5×	`add-cube-cbrt`
4×	`flip3-+` `associate-r` `flip-+` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative` `distribute-lft-out` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

45.0ms	(* (* b b) (+ 3.0 a))
26.0ms	(cbrt (* (* b b) (+ 3.0 a)))
23.0ms	(cbrt (* (* b b) (+ 3.0 a)))
30.0ms	(cbrt (* (* b b) (+ 3.0 a)))

series627.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* b b) (+ 3.0 a))
194.0ms	(cbrt (* (* b b) (+ 3.0 a)))
207.0ms	(cbrt (* (* b b) (+ 3.0 a)))
189.0ms	(cbrt (* (* b b) (+ 3.0 a)))

simplify1.8s

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
2	1181
1	334
0	122

prune583.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize79.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (* b b) (+ 3.0 a))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`pow1` `unpow-prod-down` `add-cbrt-cube` `add-exp-log`
4×	`associate-r` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

43.0ms	(* (* b b) (+ 3.0 a))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series721.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* b b) (+ 3.0 a))
237.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
217.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
222.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify2.9s

Counts

81 → 81

Iterations

Iter	Nodes
done	5012
3	4419
2	895
1	263
0	105

prune659.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

localize100.0ms

Local error

Found 4 expressions with local error:

11.8b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
11.8b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`cbrt-prod` `unpow-prod-down` `sqrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
6×	`rem-sqrt-square` `sqr-pow`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 68

Calls

4 calls:

18.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
17.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
10.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series854.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
210.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
232.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
238.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.8s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
4	1690
3	624
2	265
1	138
0	79

prune750.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes424.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	29
1	29
0	21

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.5s

20448×

body

valid