Details

Time bar (total: 8.0s)

sample42.0ms

Algorithm
intervals
Results
10.0ms256×pre80true
9.0ms256×body80valid

simplify154.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite852.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity add-log-exp
19×sum-log distribute-lft-out
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
Counts
3 → 51
Calls
3 calls:
620.0ms
(+ (+ (+ (+ e d) c) b) a)
37.0ms
(+ (+ e d) c)
192.0ms
(+ (+ (+ e d) c) b)

series132.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(+ (+ (+ (+ e d) c) b) a)
22.0ms
(+ (+ e d) c)
47.0ms
(+ (+ (+ e d) c) b)

simplify350.0ms

Counts
60 → 60

prune162.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity add-log-exp
18×sum-log distribute-lft-out
6×flip3-+ flip-+
4×frac-add
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ add-cbrt-cube
1×associate-+r+
Counts
2 → 43
Calls
2 calls:
27.0ms
(+ (+ e d) c)
154.0ms
(+ (+ (+ e d) c) (+ b a))

series77.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(+ (+ e d) c)
58.0ms
(+ (+ (+ e d) c) (+ b a))

simplify662.0ms

Counts
49 → 49

prune141.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite287.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity add-log-exp
21×sum-log distribute-lft-out
6×flip3-+ flip-+
4×frac-add
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ add-cbrt-cube
1×associate-+r+
Counts
2 → 45
Calls
2 calls:
224.0ms
(+ (+ (+ e d) (+ c b)) a)
60.0ms
(+ (+ e d) (+ c b))

series106.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ (+ (+ e d) (+ c b)) a)
41.0ms
(+ (+ e d) (+ c b))

simplify475.0ms

Counts
51 → 51

prune130.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (/ (- (* (+ e d) (+ e d)) (* c c)) (- (+ e d) c)) (+ b a))
0.4b
(- (+ e d) c)
0.4b
(/ (- (* (+ e d) (+ e d)) (* c c)) (- (+ e d) c))
0.5b
(* (+ e d) (+ e d))

rewrite482.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
34×add-sqr-sqrt
24×times-frac
20×add-cube-cbrt
15×distribute-lft-out
14×add-log-exp
13×difference-of-squares
12×distribute-lft-out--
11×pow1
8×add-exp-log flip3-+ add-cbrt-cube flip-+
6×swap-sqr associate-/r*
4×frac-times associate-*r* associate-*l* sum-log associate-/l*
3×flip3-- flip--
2×diff-log div-sub associate-*r/ associate-*l/ frac-add associate-/r/ associate-/l/
1×cbrt-undiv +-commutative pow2 distribute-rgt-in associate-+l- sub-neg associate-+r+ 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 → 126
Calls
4 calls:
270.0ms
(+ (/ (- (* (+ e d) (+ e d)) (* c c)) (- (+ e d) c)) (+ b a))
43.0ms
(- (+ e d) c)
116.0ms
(/ (- (* (+ e d) (+ e d)) (* c c)) (- (+ e d) c))
49.0ms
(* (+ e d) (+ e d))

series426.0ms

Counts
4 → 12
Calls
4 calls:
312.0ms
(+ (/ (- (* (+ e d) (+ e d)) (* c c)) (- (+ e d) c)) (+ b a))
18.0ms
(- (+ e d) c)
74.0ms
(/ (- (* (+ e d) (+ e d)) (* c c)) (- (+ e d) c))
21.0ms
(* (+ e d) (+ e d))

simplify1.4s

Counts
138 → 138

prune351.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes329.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify115.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
315.0ms8000×pre80true
288.0ms8000×body80valid