Details

Time bar (total: 15.1s)

sample64.0ms

Algorithm
intervals
Results
22.0ms256×pre80true
19.0ms256×body80valid

simplify66.0ms

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

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite90.0ms

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:
90.0ms
(* a (+ (+ b c) d))

series52.0ms

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

simplify2.4s

Counts
30 → 30
Iterations
IterNodes
done5000
33955
2668
1166
055

prune110.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

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 expm1-log1p-u associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ insert-posit16 log1p-expm1-u distribute-lft-out
1×+-commutative sum-log fma-def pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 44
Calls
2 calls:
27.0ms
(+ (* a (+ b c)) (* a d))
29.0ms
(* a (+ b c))

series109.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(+ (* a (+ b c)) (* a d))
47.0ms
(* a (+ b c))

simplify3.0s

Counts
50 → 50
Iterations
IterNodes
done5000
34802
2886
1245
078

prune191.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ b c) d))
0.0b
(sqrt (+ (+ b c) d))
0.2b
(* a (sqrt (+ (+ b c) d)))
0.3b
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×add-sqr-sqrt sqrt-prod
18×sqrt-div
16×associate-*r*
13×pow1
12×distribute-lft-out
11×add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*r/
9×flip3-+ flip-+
4×expm1-log1p-u frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative hypot-def unswap-sqr
Counts
4 → 105
Calls
4 calls:
32.0ms
(sqrt (+ (+ b c) d))
22.0ms
(sqrt (+ (+ b c) d))
54.0ms
(* a (sqrt (+ (+ b c) d)))
100.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series317.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(sqrt (+ (+ b c) d))
63.0ms
(sqrt (+ (+ b c) d))
101.0ms
(* a (sqrt (+ (+ b c) d)))
98.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify1.4s

Counts
117 → 117
Iterations
IterNodes
done5000
21293
1381
0144

prune467.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (+ (+ b c) d)))
0.2b
(* a (sqrt (+ (+ b c) d)))
0.3b
(* (* a (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d))))
0.4b
(* (* (* a (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d)))) (sqrt (sqrt (+ (+ b c) d))))

rewrite886.0ms

Algorithm
rewrite-expression-head
Rules
114×sqrt-div
46×sqrt-prod
36×associate-*r/
35×*-un-lft-identity flip3-+ flip-+
32×frac-times
30×associate-*r*
22×pow1
21×add-sqr-sqrt
20×add-cbrt-cube add-exp-log
16×associate-*l/
15×add-cube-cbrt
12×distribute-lft-out
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×expm1-log1p-u sqrt-pow1 insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
2×rem-sqrt-square pow1/2 unswap-sqr
Counts
4 → 150
Calls
4 calls:
21.0ms
(sqrt (sqrt (+ (+ b c) d)))
336.0ms
(* a (sqrt (+ (+ b c) d)))
116.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d))))
409.0ms
(* (* (* a (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d)))) (sqrt (sqrt (+ (+ b c) d))))

series1.4s

Counts
4 → 12
Calls
4 calls:
425.0ms
(sqrt (sqrt (+ (+ b c) d)))
82.0ms
(* a (sqrt (+ (+ b c) d)))
781.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d))))
91.0ms
(* (* (* a (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d)))) (sqrt (sqrt (+ (+ b c) d))))

simplify1.9s

Counts
162 → 162
Iterations
IterNodes
done5003
22897
1781
0276

prune845.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes310.0ms

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
done12
112
08

end0.0ms

sample1.2s

Algorithm
intervals
Results
494.0ms8000×pre80true
431.0ms8000×body80valid