Details

sample20.0ms

Algorithm

intervals

Results

9.0ms	287×	body	80	valid
0.0ms	2×	body	1280	valid

simplify114.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	9	11
1	19	9
2	45	7
3	72	7
4	83	7
5	84	7
done	84	7

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

99.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))
29.0ms	(+ 20.0 (+ 10.0 d2))

series71.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))
21.0ms	(+ 20.0 (+ 10.0 d2))

simplify2.2s

Counts

52 → 52

Iterations

Useful iterations: 3 (956.0ms)

Iter	Nodes	Cost
0	69	420
1	191	402
2	660	364
3	3199	361
done	5000	361

prune111.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 30.0))

rewrite21.0ms

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` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

20.0ms

(* d1 (+ d2 30.0))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(* d1 (+ d2 30.0))

simplify4.6s

Counts

28 → 28

Iterations

Useful iterations: 2 (114.0ms)

Iter	Nodes	Cost
0	48	206
1	131	195
2	405	175
3	1386	175
4	4685	175
done	5000	175

prune63.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))
0.0b	(* (+ 10.0 d2) (+ 10.0 d2))
3.4b	(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
9.8b	(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
8×	`associate-r` `distribute-lft-out`
7×	`associate-l`
6×	`flip3-+` `times-frac` `associate-r/` `swap-sqr` `associate-/r` `flip-+` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `frac-times` `flip3--` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `prod-diff` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `associate--r+` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `fma-neg` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 123

Calls

4 calls:

18.0ms	(- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))
74.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
57.0ms	(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
76.0ms	(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

series308.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))
21.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
55.0ms	(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
206.0ms	(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

simplify1.9s

Counts

135 → 135

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	193	2285
1	532	2119
2	2090	1840
done	5000	1583

prune397.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample1.2s

Algorithm

intervals

Results

847.0ms	9030×	body	80	valid
8.0ms	53×	body	1280	valid
7.0ms	49×	body	640	valid
3.0ms	23×	body	320	valid
1.0ms	15×	body	160	valid