Details

sample45.0ms

Algorithm

intervals

Results

28.0ms	318×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	1×	body	160	valid

simplify755.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	660
7	660
6	644
5	499
4	286
3	139
2	49
1	20
0	11

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ 37 (+ d2 d3)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 27

Calls

1 calls:

39.0ms

(* d1 (+ 37 (+ d2 d3)))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(* d1 (+ 37 (+ d2 d3)))

simplify820.0ms

Counts

30 → 30

Iterations

Iter	Nodes
3	2989
2	556
1	154
0	54

prune277.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ d3 5) d1)
0.0b	(+ (* d1 d2) (* (+ d3 5) d1))
0.1b	(+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`sum-log` `fma-def` `associate-l`
3×	`expm1-log1p-u` `flip3-+` `associate-r` `flip-+` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `associate-*l/`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 58

Calls

3 calls:

28.0ms	(* (+ d3 5) d1)
13.0ms	(+ (* d1 d2) (* (+ d3 5) d1))
28.0ms	(+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32))

series144.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* (+ d3 5) d1)
52.0ms	(+ (* d1 d2) (* (+ d3 5) d1))
46.0ms	(+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32))

simplify2.7s

Counts

67 → 67

Iterations

Iter	Nodes
3	4537
2	1099
1	303
0	103

prune679.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 37 (+ d2 d3)))
0.0b	(sqrt (+ 37 (+ d2 d3)))
0.2b	(* d1 (sqrt (+ 37 (+ d2 d3))))
0.2b	(* (* d1 (sqrt (+ 37 (+ d2 d3)))) (sqrt (+ 37 (+ d2 d3))))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `sqrt-prod`
18×	`sqrt-div`
16×	`associate-r`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `hypot-def` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

33.0ms	(sqrt (+ 37 (+ d2 d3)))
34.0ms	(sqrt (+ 37 (+ d2 d3)))
76.0ms	(* d1 (sqrt (+ 37 (+ d2 d3))))
130.0ms	(* (* d1 (sqrt (+ 37 (+ d2 d3)))) (sqrt (+ 37 (+ d2 d3))))

series266.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(sqrt (+ 37 (+ d2 d3)))
48.0ms	(sqrt (+ 37 (+ d2 d3)))
115.0ms	(* d1 (sqrt (+ 37 (+ d2 d3))))
39.0ms	(* (* d1 (sqrt (+ 37 (+ d2 d3)))) (sqrt (+ 37 (+ d2 d3))))

simplify2.4s

Counts

117 → 117

Iterations

Iter	Nodes
3	4320
2	1122
1	379
0	144

prune1.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* d1 (sqrt (+ 37 (+ d2 d3))))) (cbrt (* d1 (sqrt (+ 37 (+ d2 d3))))))
0.4b	(cbrt (* d1 (sqrt (+ 37 (+ d2 d3)))))
0.4b	(cbrt (* d1 (sqrt (+ 37 (+ d2 d3)))))
0.4b	(cbrt (* d1 (sqrt (+ 37 (+ d2 d3)))))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div` `sqrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

31.0ms	(* (cbrt (* d1 (sqrt (+ 37 (+ d2 d3))))) (cbrt (* d1 (sqrt (+ 37 (+ d2 d3))))))
12.0ms	(cbrt (* d1 (sqrt (+ 37 (+ d2 d3)))))
26.0ms	(cbrt (* d1 (sqrt (+ 37 (+ d2 d3)))))
25.0ms	(cbrt (* d1 (sqrt (+ 37 (+ d2 d3)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

278.0ms	(* (cbrt (* d1 (sqrt (+ 37 (+ d2 d3))))) (cbrt (* d1 (sqrt (+ 37 (+ d2 d3))))))
331.0ms	(cbrt (* d1 (sqrt (+ 37 (+ d2 d3)))))
342.0ms	(cbrt (* d1 (sqrt (+ 37 (+ d2 d3)))))
342.0ms	(cbrt (* d1 (sqrt (+ 37 (+ d2 d3)))))

simplify1.9s

Counts

96 → 96

Iterations

Iter	Nodes
3	4299
2	1317
1	464
0	183

prune1.2s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes220.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	10
1	10
0	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.3s	10011×	body	80	valid
5.0ms	15×	body	640	valid
5.0ms	9×	body	1280	valid
3.0ms	11×	body	160	valid
2.0ms	7×	body	320	valid