Details

Time bar (total: 11.5s)

sample68.0ms

Algorithm
intervals
Results
28.0ms256×pre80true
17.0ms256×body80valid

simplify53.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
53.0ms
(* a (+ (+ b c) d))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
7×add-log-exp
6×add-sqr-sqrt distribute-lft-out
5×associate-*r*
4×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
3×sum-log associate-*l*
2×flip3-+ associate-*r/ flip-+ insert-posit16
1×distribute-rgt-in +-commutative associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 41
Calls
2 calls:
Slowest
60.0ms
(* a (+ (+ b c) d))
19.0ms
(+ (+ b c) d)

series75.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
46.0ms
(* a (+ (+ b c) d))
28.0ms
(+ (+ b c) d)

simplify1.2s

Counts
26 → 47
Calls
26 calls:
Slowest
403.0ms
(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
235.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
81.0ms
(* a (+ (+ b c) d))
69.0ms
(+ (* a d) (+ (* a b) (* a c)))
49.0ms
(* (exp (+ b c)) (exp d))

prune391.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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:
Slowest
26.0ms
(* a (+ b c))
20.0ms
(+ (* a (+ b c)) (* a d))

series100.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
54.0ms
(* a (+ b c))
46.0ms
(+ (* a (+ b c)) (* a d))

simplify889.0ms

Counts
25 → 45
Calls
25 calls:
Slowest
337.0ms
(* (exp (* a (+ b c))) (exp (* a d)))
174.0ms
(* (* (* a a) a) (* (* (+ b c) (+ b c)) (+ b c)))
91.0ms
(+ (* b b) (- (* c c) (* b c)))
66.0ms
(+ (* a d) (+ (* a b) (* a c)))
56.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune422.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×add-sqr-sqrt pow1 +-commutative *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
1×associate-+r+
Counts
2 → 26
Calls
2 calls:
Slowest
15.0ms
(+ (* b a) (+ (* c a) (* a d)))
7.0ms
(+ (* c a) (* a d))

series96.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
50.0ms
(+ (* c a) (* a d))
45.0ms
(+ (* b a) (+ (* c a) (* a d)))

simplify1.1s

Counts
10 → 32
Calls
10 calls:
Slowest
527.0ms
(* (exp (* b a)) (exp (+ (* c a) (* a d))))
216.0ms
(* (exp (* c a)) (exp (* a d)))
190.0ms
(* (exp (* b a)) (* (exp (* c a)) (exp (* a d))))
60.0ms
(+ (* a d) (+ (* a b) (* a c)))
51.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune295.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×sqrt-div
17×add-sqr-sqrt sqrt-prod
14×associate-*r*
13×pow1
11×add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 distribute-lft-out add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
Slowest
47.0ms
(* (* a (sqrt (+ b c))) (sqrt (+ b c)))
34.0ms
(* a (sqrt (+ b c)))
9.0ms
(sqrt (+ b c))
9.0ms
(sqrt (+ b c))

series295.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
90.0ms
(* a (sqrt (+ b c)))
76.0ms
(* (* a (sqrt (+ b c))) (sqrt (+ b c)))
66.0ms
(sqrt (+ b c))
63.0ms
(sqrt (+ b c))

simplify3.1s

Counts
71 → 103
Calls
71 calls:
Slowest
386.0ms
(* (* a (sqrt (+ (pow b 3) (pow c 3)))) (sqrt (+ b c)))
265.0ms
(* (* a (sqrt (- (* b b) (* c c)))) (sqrt (- (* b b) (* c c))))
257.0ms
(* (* a (sqrt (- (* b b) (* c c)))) (sqrt (+ (pow b 3) (pow c 3))))
211.0ms
(* (* (* a a) a) (* (* (sqrt (+ b c)) (sqrt (+ b c))) (sqrt (+ b c))))
190.0ms
(* (* (* (* a (sqrt (+ b c))) (* a (sqrt (+ b c)))) (* a (sqrt (+ b c)))) (* (* (sqrt (+ b c)) (sqrt (+ b c))) (sqrt (+ b c))))

prune1.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes406.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
957.0ms8000×pre80true
447.0ms8000×body80valid