Details

Time bar (total: 6.6s)

sample57.0ms

Algorithm
intervals
Results
20.0ms256×pre80true
17.0ms256×body80valid

simplify79.0ms

Counts
1 → 1
Iterations
IterNodes
done92
592
491
371
240
118
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(* a (+ (+ b c) d))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*r/
1×distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
77.0ms
(* a (+ (+ b c) d))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* a (+ (+ b c) d))

simplify465.0ms

Counts
30 → 30
Iterations
IterNodes
done2003
2668
1166
055

prune117.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (+ b c) a) (* d a))
0.0b
(* (+ b c) a)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt add-log-exp
3×associate-*r*
2×expm1-log1p-u flip3-+ associate-*l/ flip-+ insert-posit16 log1p-expm1-u
1×+-commutative sum-log fma-def distribute-rgt-out pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 40
Calls
2 calls:
11.0ms
(+ (* (+ b c) a) (* d a))
20.0ms
(* (+ b c) a)

series64.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (* (+ b c) a) (* d a))
24.0ms
(* (+ b c) a)

simplify654.0ms

Counts
46 → 46
Iterations
IterNodes
done2002
2740
1212
075

prune225.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* d a))
0.3b
(* (+ b c) (sqrt a))
0.4b
(* (* (+ b c) (sqrt a)) (sqrt a))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*r*
10×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
8×add-cube-cbrt
7×sqrt-prod
6×associate-*l/
5×associate-*l* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u flip3-+ flip-+ insert-posit16 log1p-expm1-u
2×*-commutative unswap-sqr
1×+-commutative sum-log fma-def distribute-lft-out
Counts
3 → 69
Calls
3 calls:
36.0ms
(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* d a))
20.0ms
(* (+ b c) (sqrt a))
30.0ms
(* (* (+ b c) (sqrt a)) (sqrt a))

series191.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* d a))
61.0ms
(* (+ b c) (sqrt a))
66.0ms
(* (* (+ b c) (sqrt a)) (sqrt a))

simplify882.0ms

Counts
78 → 78
Iterations
IterNodes
done2000
21241
1324
0114

prune333.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (* (+ c b) (* (- b c) a)) (- b c)) (* d a))
0.0b
(* (- b c) a)
0.2b
(* (+ c b) (* (- b c) a))
12.0b
(/ (* (+ c b) (* (- b c) a)) (- b c))

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity
20×add-cbrt-cube add-exp-log
18×associate-*l/
11×pow1 fma-def add-cube-cbrt
10×times-frac
9×flip3-- associate-*l* flip--
8×frac-times associate-/l/
7×flip3-+ prod-exp cbrt-unprod flip-+
6×add-log-exp
5×associate-/r*
4×expm1-log1p-u associate-*r* pow-prod-down associate-*r/ associate-/r/ insert-posit16 log1p-expm1-u distribute-lft-out-- difference-of-squares
3×cbrt-undiv div-exp
2×*-commutative div-inv
1×+-commutative clear-num sum-log frac-2neg distribute-lft-out associate-/l* unswap-sqr
Counts
4 → 120
Calls
4 calls:
94.0ms
(+ (/ (* (+ c b) (* (- b c) a)) (- b c)) (* d a))
17.0ms
(* (- b c) a)
59.0ms
(* (+ c b) (* (- b c) a))
69.0ms
(/ (* (+ c b) (* (- b c) a)) (- b c))

series193.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(+ (/ (* (+ c b) (* (- b c) a)) (- b c)) (* d a))
32.0ms
(* (- b c) a)
79.0ms
(* (+ c b) (* (- b c) a))
39.0ms
(/ (* (+ c b) (* (- b c) a)) (- b c))

simplify508.0ms

Counts
132 → 132
Iterations
IterNodes
done2001
1545
0177

prune683.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes346.0ms

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
done10
110
07

end0.0ms

sample1.2s

Algorithm
intervals
Results
533.0ms8000×pre80true
476.0ms8000×body80valid