Details

Time bar (total: 20.1s)

sample58.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
12.0ms256×pre80true

simplify74.0ms

Counts
1 → 1
Iterations
IterNodes
done64
464
361
238
118
07

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
175.0ms
(* a (+ (+ b c) d))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(* a (+ (+ b c) d))

simplify5.0s

Counts
27 → 27
Iterations
IterNodes
done5188
34108
2658
1163
052

prune211.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite312.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity associate-*l*
11×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
7×add-cube-cbrt sqrt-prod
6×associate-*r/ associate-*r*
5×distribute-rgt-in distribute-lft-in
4×pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×flip3-+ *-commutative flip-+ add-log-exp unswap-sqr
Counts
2 → 55
Calls
2 calls:
155.0ms
(* (sqrt a) (+ (+ b c) d))
153.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series271.0ms

Counts
2 → 6
Calls
2 calls:
170.0ms
(* (sqrt a) (+ (+ b c) d))
101.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify2.0s

Counts
61 → 61
Iterations
IterNodes
done5004
21186
1294
091

prune445.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (+ d (+ b c)) (+ d (+ b c))) (* (+ d (+ b c)) (* a (sqrt a))))
0.3b
(* (+ d (+ b c)) (* a (sqrt a)))
0.3b
(* (sqrt a) (cbrt (* (* (+ d (+ b c)) (+ d (+ b c))) (* (+ d (+ b c)) (* a (sqrt a))))))
19.5b
(cbrt (* (* (+ d (+ b c)) (+ d (+ b c))) (* (+ d (+ b c)) (* a (sqrt a)))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
98×associate-*l/
84×frac-times
82×flip3-+ flip-+
52×cbrt-div
50×associate-*r/
32×pow1 add-exp-log
31×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
13×*-un-lft-identity
12×add-sqr-sqrt associate-*l*
8×add-cube-cbrt
6×associate-*r*
4×sqrt-prod add-log-exp
3×*-commutative distribute-lft-out
2×cbrt-prod unswap-sqr
1×pow1/3
Counts
4 → 160
Calls
4 calls:
462.0ms
(* (* (+ d (+ b c)) (+ d (+ b c))) (* (+ d (+ b c)) (* a (sqrt a))))
148.0ms
(* (+ d (+ b c)) (* a (sqrt a)))
168.0ms
(* (sqrt a) (cbrt (* (* (+ d (+ b c)) (+ d (+ b c))) (* (+ d (+ b c)) (* a (sqrt a))))))
432.0ms
(cbrt (* (* (+ d (+ b c)) (+ d (+ b c))) (* (+ d (+ b c)) (* a (sqrt a)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
588.0ms
(* (* (+ d (+ b c)) (+ d (+ b c))) (* (+ d (+ b c)) (* a (sqrt a))))
163.0ms
(* (+ d (+ b c)) (* a (sqrt a)))
244.0ms
(* (sqrt a) (cbrt (* (* (+ d (+ b c)) (+ d (+ b c))) (* (+ d (+ b c)) (* a (sqrt a))))))
130.0ms
(cbrt (* (* (+ d (+ b c)) (+ d (+ b c))) (* (+ d (+ b c)) (* a (sqrt a)))))

simplify5.1s

Counts
172 → 172
Iterations
IterNodes
done5002
23264
1781
0273

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes666.0ms

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

sample1.8s

Algorithm
intervals
Results
896.0ms8000×body80valid
409.0ms8000×pre80true