Details

sample14.0ms

Algorithm

intervals

Results

6.0ms	287×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify21.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	9	11
1	18	9
2	32	7
3	44	7
4	48	7
done	48	7

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

30.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))
8.0ms	(+ 20.0 (+ 10.0 d2))

series49.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))
17.0ms	(+ 20.0 (+ 10.0 d2))

simplify986.0ms

Counts

45 → 45

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	65	392
1	183	378
2	531	334
3	2029	334
done	5000	334

prune68.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 30.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

9.0ms

(* d1 (+ d2 30.0))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* d1 (+ d2 30.0))

simplify2.1s

Counts

26 → 26

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	46	194
1	125	183
2	321	163
3	783	163
4	1953	163
done	5000	163

prune41.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

3.8b	(* d1 (- (* d2 d2) (* 30.0 30.0)))
10.0b	(/ (* d1 (- (* d2 d2) (* 30.0 30.0))) (- d2 30.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-/r*`
4×	`pow1` `associate-r/` `associate-r*`
3×	`flip3--` `associate-l` `flip--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

10.0ms	(* d1 (- (* d2 d2) (* 30.0 30.0)))
10.0ms	(/ (* d1 (- (* d2 d2) (* 30.0 30.0))) (- d2 30.0))

series152.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* d1 (- (* d2 d2) (* 30.0 30.0)))
89.0ms	(/ (* d1 (- (* d2 d2) (* 30.0 30.0))) (- d2 30.0))

simplify591.0ms

Counts

60 → 60

Iterations

Useful iterations: done (590.0ms)

Iter	Nodes	Cost
0	115	882
1	304	854
2	1075	714
done	5000	708

prune101.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- d2 30.0))
3.8b	(* d1 (- (* d2 d2) (* 30.0 30.0)))
10.0b	(* (* d1 (- (* d2 d2) (* 30.0 30.0))) (/ 1 (- d2 30.0)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`add-exp-log`
30×	`times-frac`
25×	`associate-r`
24×	`add-cube-cbrt`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
8×	`difference-of-squares`
7×	`associate-*r/` `cbrt-unprod` `distribute-lft-out--`
6×	`div-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`associate-l` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `add-log-exp`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `associate-l/` `-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `un-div-inv` `inv-pow` `unswap-sqr`

Counts

3 → 116

Calls

3 calls:

6.0ms	(/ 1 (- d2 30.0))
10.0ms	(* d1 (- (* d2 d2) (* 30.0 30.0)))
26.0ms	(* (* d1 (- (* d2 d2) (* 30.0 30.0))) (/ 1 (- d2 30.0)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ 1 (- d2 30.0))
63.0ms	(* d1 (- (* d2 d2) (* 30.0 30.0)))
91.0ms	(* (* d1 (- (* d2 d2) (* 30.0 30.0))) (/ 1 (- d2 30.0)))

simplify1.1s

Counts

125 → 125

Iterations

Useful iterations: 2 (329.0ms)

Iter	Nodes	Cost
0	188	1815
1	497	1574
2	1528	1324
done	5000	1324

prune187.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	7	5
done	7	5

end0.0ms

sample352.0ms

Algorithm

intervals

Results

203.0ms	9079×	body	80	valid
5.0ms	50×	body	1280	valid
3.0ms	38×	body	640	valid
1.0ms	24×	body	320	valid
0.0ms	11×	body	160	valid