Details

Time bar (total: 10.5s)

sample47.0ms

Algorithm
intervals
Results
11.0ms256×pre80true
11.0ms256×body80valid

simplify117.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(+ (+ (+ e d) c) b)
0.3b
(+ (+ e d) c)
0.3b
(+ (+ (+ (+ e d) c) b) a)

rewrite866.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity add-log-exp
19×sum-log distribute-lft-out
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
Counts
3 → 51
Calls
3 calls:
164.0ms
(+ (+ (+ e d) c) b)
42.0ms
(+ (+ e d) c)
658.0ms
(+ (+ (+ (+ e d) c) b) a)

series151.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ (+ (+ e d) c) b)
24.0ms
(+ (+ e d) c)
78.0ms
(+ (+ (+ (+ e d) c) b) a)

simplify381.0ms

Counts
60 → 60

prune193.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(+ e (+ d c))
0.2b
(+ (+ e (+ d c)) b)
0.3b
(+ (+ (+ e (+ d c)) b) a)

rewrite608.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity add-log-exp
19×sum-log distribute-lft-out
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
associate-+l+
associate-+r+
Counts
3 → 51
Calls
3 calls:
16.0ms
(+ e (+ d c))
105.0ms
(+ (+ e (+ d c)) b)
485.0ms
(+ (+ (+ e (+ d c)) b) a)

series117.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(+ e (+ d c))
37.0ms
(+ (+ e (+ d c)) b)
60.0ms
(+ (+ (+ e (+ d c)) b) a)

simplify402.0ms

Counts
60 → 60

prune153.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(+ d (+ e c))
0.2b
(+ (+ d (+ e c)) b)
0.3b
(+ (+ (+ d (+ e c)) b) a)

rewrite668.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity add-log-exp
19×sum-log distribute-lft-out
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
associate-+l+
associate-+r+
Counts
3 → 51
Calls
3 calls:
22.0ms
(+ d (+ e c))
118.0ms
(+ (+ d (+ e c)) b)
525.0ms
(+ (+ (+ d (+ e c)) b) a)

series124.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ d (+ e c))
39.0ms
(+ (+ d (+ e c)) b)
68.0ms
(+ (+ (+ d (+ e c)) b) a)

simplify397.0ms

Counts
60 → 60

prune149.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (+ e (+ d c)) b)
0.3b
(+ (/ (- (* (+ e (+ d c)) (+ e (+ d c))) (* b b)) (- (+ e (+ d c)) b)) a)
0.3b
(/ (- (* (+ e (+ d c)) (+ e (+ d c))) (* b b)) (- (+ e (+ d c)) b))
0.5b
(* (+ e (+ d c)) (+ e (+ d c)))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
121×*-un-lft-identity
43×distribute-lft-out
35×add-sqr-sqrt
28×times-frac
21×add-cube-cbrt
18×distribute-lft-out--
15×add-log-exp
14×difference-of-squares
11×pow1 swap-sqr
add-exp-log add-cbrt-cube
flip3-+ associate-/r* flip-+
associate-*r* associate-*l*
frac-times sum-log associate-/l*
flip3-- diff-log flip--
div-sub associate-*r/ associate-*l/ associate-/r/ associate-/l/
cbrt-undiv +-commutative pow2 distribute-rgt-in associate-+l- sub-neg frac-2neg distribute-lft-in pow-plus div-exp pow-prod-down prod-exp associate--l+ clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod div-inv unswap-sqr
Counts
4 → 135
Calls
4 calls:
162.0ms
(- (+ e (+ d c)) b)
740.0ms
(+ (/ (- (* (+ e (+ d c)) (+ e (+ d c))) (* b b)) (- (+ e (+ d c)) b)) a)
246.0ms
(/ (- (* (+ e (+ d c)) (+ e (+ d c))) (* b b)) (- (+ e (+ d c)) b))
146.0ms
(* (+ e (+ d c)) (+ e (+ d c)))

series948.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (+ e (+ d c)) b)
646.0ms
(+ (/ (- (* (+ e (+ d c)) (+ e (+ d c))) (* b b)) (- (+ e (+ d c)) b)) a)
193.0ms
(/ (- (* (+ e (+ d c)) (+ e (+ d c))) (* b b)) (- (+ e (+ d c)) b))
63.0ms
(* (+ e (+ d c)) (+ e (+ d c)))

simplify1.1s

Counts
147 → 147

prune381.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes515.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify129.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
381.0ms8000×body80valid
297.0ms8000×pre80true