Details

sample40.0ms

Algorithm

intervals

Results

17.0ms	287×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify72.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	93
5	93
4	86
3	73
2	45
1	19
0	9

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ (+ 10.0 20.0) d2) d1)

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-l`
3×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt` `distribute-lft-out`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

116.0ms

(* (+ (+ 10.0 20.0) d2) d1)

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* (+ (+ 10.0 20.0) d2) d1)

simplify507.0ms

Counts

27 → 27

Iterations

Iter	Nodes
done	5002
2	685
1	129
0	49

prune148.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* d1 10.0) (* d1 d2))
0.2b	(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
5×	`fma-def`
4×	`sum-log` `distribute-lft-out`
3×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `+-commutative` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `log1p-expm1-u`
1×	`associate-+l+`

Counts

2 → 35

Calls

2 calls:

9.0ms	(+ (* d1 10.0) (* d1 d2))
49.0ms	(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

series125.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (* d1 10.0) (* d1 d2))
60.0ms	(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

simplify1.2s

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
2	939
1	206
0	62

prune204.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sqrt (+ 10.0 (+ 20.0 d2))) d1)
0.2b	(* (sqrt (+ (+ 10.0 20.0) d2)) (* (sqrt (+ 10.0 (+ 20.0 d2))) d1))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`associate-l`
14×	`sqrt-div`
11×	`add-sqr-sqrt` `sqrt-prod`
10×	`associate-*l/`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`flip3-+` `add-cube-cbrt` `flip-+`
6×	`distribute-lft-out`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-r/` `-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

2 → 61

Calls

2 calls:

69.0ms	(* (sqrt (+ 10.0 (+ 20.0 d2))) d1)
146.0ms	(* (sqrt (+ (+ 10.0 20.0) d2)) (* (sqrt (+ 10.0 (+ 20.0 d2))) d1))

series163.0ms

Counts

2 → 6

Calls

2 calls:

123.0ms	(* (sqrt (+ 10.0 (+ 20.0 d2))) d1)
40.0ms	(* (sqrt (+ (+ 10.0 20.0) d2)) (* (sqrt (+ 10.0 (+ 20.0 d2))) d1))

simplify791.0ms

Counts

67 → 67

Iterations

Iter	Nodes
done	5002
2	1565
1	377
0	140

prune364.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (+ 20.0 d2) 3/2)
3.2b	(* (* (sqrt (+ 10.0 (+ 20.0 d2))) (hypot (pow (+ 20.0 d2) 3/2) (pow 10.0 3/2))) d1)
3.4b	(/ (* (* (sqrt (+ 10.0 (+ 20.0 d2))) (hypot (pow (+ 20.0 d2) 3/2) (pow 10.0 3/2))) d1) (sqrt (+ (* 10.0 10.0) (- (* (+ 20.0 d2) (+ 20.0 d2)) (* 10.0 (+ 20.0 d2))))))
9.9b	(sqrt (+ (* 10.0 10.0) (- (* (+ 20.0 d2) (+ 20.0 d2)) (* 10.0 (+ 20.0 d2)))))

rewrite368.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
18×	`add-cbrt-cube`
14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`add-cube-cbrt`
11×	`pow1`
9×	`sqrt-prod`
8×	`sqrt-div` `associate-*l/`
6×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `unpow-prod-down` `flip3-+` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `div-exp` `associate-r` `pow-prod-down`
2×	`associate-/r/` `associate-/l/`
1×	`pow-to-exp` `rem-sqrt-square` `clear-num` `pow-pow` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-l` `pow-exp` `-commutative` `hypot-def` `div-inv` `distribute-lft-out` `associate-/l` `sqr-pow`

Counts

4 → 95

Calls

4 calls:

14.0ms	(pow (+ 20.0 d2) 3/2)
91.0ms	(* (* (sqrt (+ 10.0 (+ 20.0 d2))) (hypot (pow (+ 20.0 d2) 3/2) (pow 10.0 3/2))) d1)
159.0ms	(/ (* (* (sqrt (+ 10.0 (+ 20.0 d2))) (hypot (pow (+ 20.0 d2) 3/2) (pow 10.0 3/2))) d1) (sqrt (+ (* 10.0 10.0) (- (* (+ 20.0 d2) (+ 20.0 d2)) (* 10.0 (+ 20.0 d2))))))
101.0ms	(sqrt (+ (* 10.0 10.0) (- (* (+ 20.0 d2) (+ 20.0 d2)) (* 10.0 (+ 20.0 d2)))))

series3.7s

Counts

4 → 12

Calls

4 calls:

112.0ms	(pow (+ 20.0 d2) 3/2)
1.7s	(* (* (sqrt (+ 10.0 (+ 20.0 d2))) (hypot (pow (+ 20.0 d2) 3/2) (pow 10.0 3/2))) d1)
1.8s	(/ (* (* (sqrt (+ 10.0 (+ 20.0 d2))) (hypot (pow (+ 20.0 d2) 3/2) (pow 10.0 3/2))) d1) (sqrt (+ (* 10.0 10.0) (- (* (+ 20.0 d2) (+ 20.0 d2)) (* 10.0 (+ 20.0 d2))))))
62.0ms	(sqrt (+ (* 10.0 10.0) (- (* (+ 20.0 d2) (+ 20.0 d2)) (* 10.0 (+ 20.0 d2)))))

simplify646.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
1	1210
0	410

prune933.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample914.0ms

Algorithm

intervals

Results

562.0ms	9057×	body	80	valid
12.0ms	54×	body	1280	valid
9.0ms	51×	body	640	valid
3.0ms	23×	body	320	valid
1.0ms	13×	body	160	valid