Details

Time bar (total: 4.5s)

sample23.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
5.0ms256×body80valid

simplify98.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1199
2559
31549
42319
52339
done2339

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite356.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
31×add-log-exp
29×distribute-lft-out
19×sum-log
15×fma-def
6×add-sqr-sqrt add-cube-cbrt
3×pow1 add-exp-log +-commutative expm1-log1p-u associate-+l+ flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
Counts
3 → 72
Calls
3 calls:
16.0ms
(+ (+ e d) c)
66.0ms
(+ (+ (+ e d) c) b)
272.0ms
(+ (+ (+ (+ e d) c) b) a)

series93.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (+ e d) c)
30.0ms
(+ (+ (+ e d) c) b)
48.0ms
(+ (+ (+ (+ e d) c) b) a)

simplify305.0ms

Counts
81 → 81
Iterations

Useful iterations: done (303.0ms)

IterNodesCost
089672
1249620
2884602
done5000591

prune162.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
28×add-log-exp
22×distribute-lft-out
18×sum-log
9×fma-def
6×flip3-+ flip-+
4×add-sqr-sqrt add-cube-cbrt frac-add
2×pow1 add-exp-log +-commutative expm1-log1p-u associate-+l+ add-cbrt-cube log1p-expm1-u
1×associate-+r+
Counts
2 → 56
Calls
2 calls:
17.0ms
(+ (+ e d) c)
73.0ms
(+ (+ (+ e d) c) (+ b a))

series64.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(+ (+ e d) c)
50.0ms
(+ (+ (+ e d) c) (+ b a))

simplify395.0ms

Counts
62 → 62
Iterations

Useful iterations: done (393.0ms)

IterNodesCost
097731
1318667
21364649
done5000626

prune131.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
28×add-log-exp
19×distribute-lft-out
18×sum-log
7×fma-def
6×flip3-+ flip-+
4×add-sqr-sqrt add-cube-cbrt frac-add
2×pow1 add-exp-log +-commutative expm1-log1p-u associate-+r+ add-cbrt-cube log1p-expm1-u
1×associate-+l+
Counts
2 → 54
Calls
2 calls:
11.0ms
(+ c (+ b a))
34.0ms
(+ (+ e d) (+ c (+ b a)))

series66.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(+ c (+ b a))
51.0ms
(+ (+ e d) (+ c (+ b a)))

simplify374.0ms

Counts
60 → 60
Iterations

Useful iterations: done (373.0ms)

IterNodesCost
097731
1323655
21248637
done5000620

prune141.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fma c c (* (+ b a) (- (+ b a) c))) (+ e d))
0.7b
(pow (+ b a) 3)
0.9b
(- (+ b a) c)
0.9b
(- (+ b a) c)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×add-sqr-sqrt
25×add-cube-cbrt
24×prod-diff
14×add-log-exp
13×distribute-lft-out
8×fma-neg
7×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u unpow-prod-down diff-log cube-prod associate-*r* log1p-expm1-u distribute-lft-out--
3×pow-unpow associate-*l*
2×cube-div sub-neg flip3-- flip3-+ associate-*r/ associate--l+ sum-log flip-- flip-+ difference-of-squares
1×distribute-rgt-in cube-mult pow-to-exp pow-pow distribute-lft-in unpow3 pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod rem-cube-cbrt unswap-sqr sqr-pow
Counts
4 → 124
Calls
4 calls:
9.0ms
(* (fma c c (* (+ b a) (- (+ b a) c))) (+ e d))
5.0ms
(pow (+ b a) 3)
23.0ms
(- (+ b a) c)
21.0ms
(- (+ b a) c)

series263.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (fma c c (* (+ b a) (- (+ b a) c))) (+ e d))
34.0ms
(pow (+ b a) 3)
16.0ms
(- (+ b a) c)
17.0ms
(- (+ b a) c)

simplify640.0ms

Counts
136 → 136
Iterations

Useful iterations: 2 (165.0ms)

IterNodesCost
01691890
14331537
217101267
done50011267

prune403.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes188.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1139
done139

end0.0ms

sample587.0ms

Algorithm
intervals
Results
201.0ms8000×pre80true
164.0ms8000×body80valid