Details

Time bar (total: 16.3s)

sample90.0ms

Algorithm
intervals
Results
67.0ms391×body80valid

simplify3.5s

Counts
1 → 1
Iterations
IterNodes
72522
61556
5985
4548
3240
281
126
011

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* d1 d2) (* d1 d3))
0.0b
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
0.0b
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

rewrite270.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
add-sqr-sqrt
*-un-lft-identity diff-log add-cube-cbrt
prod-diff
sum-log fma-def fma-neg
expm1-log1p-u pow1 associate-+l+ sub-neg add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
flip3-- associate-+l- flip-- distribute-lft-out--
associate--l- +-commutative flip3-+ associate--l+ flip-+ difference-of-squares
Counts
3 → 67
Calls
3 calls:
8.0ms
(- (* d1 d2) (* d1 d3))
217.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
45.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series199.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(- (* d1 d2) (* d1 d3))
84.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
54.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify2.7s

Counts
76 → 76
Iterations
IterNodes
35543
21179
1312
0110

prune662.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (- (+ d2 d4) (+ d1 d3)))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
32×prod-diff
23×add-sqr-sqrt
20×distribute-lft-out
19×distribute-rgt-in distribute-lft-in add-cube-cbrt
associate-*r*
associate-*r/
flip3-+ frac-sub flip-+ distribute-lft-out--
pow1 add-cbrt-cube associate-*l* add-exp-log
sub-neg associate--l+
expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u flip-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 70
Calls
1 calls:
143.0ms
(* d1 (- (+ d2 d4) (+ d1 d3)))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(* d1 (- (+ d2 d4) (+ d1 d3)))

simplify2.1s

Counts
73 → 73
Iterations
IterNodes
35528
21200
1380
0151

prune265.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (+ d2 d4) (+ d1 d3)))
0.0b
(sqrt (- (+ d2 d4) (+ d1 d3)))
0.1b
(* d1 (sqrt (- (+ d2 d4) (+ d1 d3))))
0.2b
(* (* d1 (sqrt (- (+ d2 d4) (+ d1 d3)))) (sqrt (- (+ d2 d4) (+ d1 d3))))

rewrite433.0ms

Algorithm
rewrite-expression-head
Rules
102×sqrt-div
68×flip3-+ frac-sub flip-+
59×*-un-lft-identity
54×associate-*r/
36×frac-times
33×sqrt-prod
25×add-sqr-sqrt
22×associate-*r*
17×flip3-- flip--
16×distribute-lft-out distribute-lft-out--
13×pow1
11×add-cbrt-cube add-exp-log add-cube-cbrt
associate-*l/
expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp difference-of-squares
rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 167
Calls
4 calls:
44.0ms
(sqrt (- (+ d2 d4) (+ d1 d3)))
42.0ms
(sqrt (- (+ d2 d4) (+ d1 d3)))
108.0ms
(* d1 (sqrt (- (+ d2 d4) (+ d1 d3))))
232.0ms
(* (* d1 (sqrt (- (+ d2 d4) (+ d1 d3)))) (sqrt (- (+ d2 d4) (+ d1 d3))))

series724.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(sqrt (- (+ d2 d4) (+ d1 d3)))
188.0ms
(sqrt (- (+ d2 d4) (+ d1 d3)))
281.0ms
(* d1 (sqrt (- (+ d2 d4) (+ d1 d3))))
85.0ms
(* (* d1 (sqrt (- (+ d2 d4) (+ d1 d3)))) (sqrt (- (+ d2 d4) (+ d1 d3))))

simplify852.0ms

Counts
179 → 179
Iterations
IterNodes
22187
1750
0269

prune1.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes233.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
215
115
011

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.4s11913×body80valid