Details

Time bar (total: 32.4s)

sample45.0ms

Algorithm
intervals
Results
7.0ms256×pre80true
6.0ms256×body80valid

simplify116.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite150.0ms

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 distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
148.0ms
(* a (+ (+ b c) d))

series57.0ms

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

simplify6.0s

Counts
28 → 28
Iterations
IterNodes
done5002
34059
2656
1166
053

prune391.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ insert-posit16 distribute-lft-out
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
30.0ms
(* a (+ b c))
20.0ms
(+ (* a (+ b c)) (* a d))

series130.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* a (+ b c))
79.0ms
(+ (* a (+ b c)) (* a d))

simplify2.3s

Counts
45 → 45
Iterations
IterNodes
done5004
2893
1232
074

prune543.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
0.2b
(* a (sqrt (+ b c)))
0.4b
(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
14×sqrt-div associate-*r*
12×add-sqr-sqrt *-un-lft-identity
10×pow1 add-cbrt-cube associate-*r/ add-exp-log
9×sqrt-prod
8×flip3-+ add-cube-cbrt flip-+
5×add-log-exp
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
3×insert-posit16
2×associate-*l/ *-commutative distribute-lft-out unswap-sqr
1×+-commutative sum-log
Counts
3 → 69
Calls
3 calls:
71.0ms
(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
29.0ms
(* a (sqrt (+ b c)))
68.0ms
(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

series336.0ms

Counts
3 → 9
Calls
3 calls:
119.0ms
(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
106.0ms
(* a (sqrt (+ b c)))
110.0ms
(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

simplify7.6s

Counts
78 → 78
Iterations
IterNodes
done5001
34625
21336
1412
0147

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (+ (+ b c) d))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.4b
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

rewrite529.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
15×*-un-lft-identity
14×add-sqr-sqrt
12×pow1/2
10×pow-prod-up add-cube-cbrt
9×flip3-+ associate-*r* flip-+
8×add-cbrt-cube add-exp-log
7×associate-*l*
6×pow-sqr sqrt-prod
4×frac-times swap-sqr insert-posit16 add-log-exp
3×distribute-lft-out
2×associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in rem-square-sqrt distribute-lft-in pow-plus sqrt-unprod
Counts
4 → 111
Calls
4 calls:
112.0ms
(* a (+ (+ b c) d))
51.0ms
(sqrt (* a (+ (+ b c) d)))
28.0ms
(sqrt (* a (+ (+ b c) d)))
324.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series860.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* a (+ (+ b c) d))
414.0ms
(sqrt (* a (+ (+ b c) d)))
337.0ms
(sqrt (* a (+ (+ b c) d)))
51.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify7.4s

Counts
123 → 123
Iterations
IterNodes
done5001
34978
21182
1370
0138

prune1.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes1.6s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done12
112
08

end0.0ms

sample1.4s

Algorithm
intervals
Results
700.0ms8000×pre80true
305.0ms8000×body80valid