Details

Time bar (total: 13.3s)

sample63.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
21.0ms256×pre80true

simplify63.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
63.0ms
(* a (+ (+ b c) d))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 1 expressions with local error:

0.1b
(* a (+ (+ b c) d))

rewrite64.0ms

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:
Slowest
64.0ms
(* a (+ (+ b c) d))

series41.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
41.0ms
(* a (+ (+ b c) d))

simplify1.0s

Counts
19 → 28
Calls
19 calls:
Slowest
375.0ms
(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
256.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
80.0ms
(+ (* a d) (+ (* a b) (* a c)))
79.0ms
(+ (* a d) (+ (* a b) (* a c)))
58.0ms
(* a (+ (+ b c) d))

prune221.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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
13.0ms
(* a (+ b c))
10.0ms
(+ (* a (+ b c)) (* a d))

series101.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
53.0ms
(+ (* a (+ b c)) (* a d))
48.0ms
(* a (+ b c))

simplify852.0ms

Counts
25 → 45
Calls
25 calls:
Slowest
366.0ms
(* (exp (* a (+ b c))) (exp (* a d)))
131.0ms
(* (* (* a a) a) (* (* (+ b c) (+ b c)) (+ b c)))
80.0ms
(+ (* b b) (- (* c c) (* b c)))
72.0ms
(+ (* a d) (+ (* a b) (* a c)))
49.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune429.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
3×distribute-lft-out
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 → 28
Calls
2 calls:
Slowest
15.0ms
(+ (* a b) (+ (* a c) (* a d)))
8.0ms
(+ (* a c) (* a d))

series119.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
61.0ms
(+ (* a b) (+ (* a c) (* a d)))
58.0ms
(+ (* a c) (* a d))

simplify990.0ms

Counts
12 → 34
Calls
12 calls:
Slowest
535.0ms
(* (exp (* a b)) (exp (+ (* a c) (* a d))))
164.0ms
(* (exp (* a b)) (* (exp (* a c)) (exp (* a d))))
135.0ms
(* (exp (* a c)) (exp (* a d)))
54.0ms
(+ (* a d) (+ (* a b) (* a c)))
53.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune321.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (* a (+ b c))) (sqrt (* a (+ b c))))
0.1b
(sqrt (* a (+ b c)))
0.1b
(sqrt (* a (+ b c)))
0.1b
(+ (* (sqrt (* a (+ b c))) (sqrt (* a (+ b c)))) (* a d))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1
32×sqrt-pow1
22×pow-prod-down
18×associate-*r/
16×sqrt-div
12×pow1/2
10×add-sqr-sqrt pow-prod-up
9×flip3-+ flip-+
8×*-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log pow-sqr sqrt-prod add-log-exp
4×frac-times swap-sqr associate-*r* associate-*l* insert-posit16
2×associate-*l/
1×pow2 +-commutative sum-log rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 98
Calls
4 calls:
Slowest
53.0ms
(* (sqrt (* a (+ b c))) (sqrt (* a (+ b c))))
47.0ms
(+ (* (sqrt (* a (+ b c))) (sqrt (* a (+ b c)))) (* a d))
10.0ms
(sqrt (* a (+ b c)))
10.0ms
(sqrt (* a (+ b c)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
75.0ms
(sqrt (* a (+ b c)))
74.0ms
(sqrt (* a (+ b c)))
57.0ms
(+ (* (sqrt (* a (+ b c))) (sqrt (* a (+ b c)))) (* a d))
34.0ms
(* (sqrt (* a (+ b c))) (sqrt (* a (+ b c))))

simplify5.6s

Counts
99 → 110
Calls
99 calls:
Slowest
378.0ms
(* (exp (* (sqrt (* a (+ b c))) (sqrt (* a (+ b c))))) (exp (* a d)))
340.0ms
(* (sqrt (* a (+ (pow b 3) (pow c 3)))) (sqrt (* a (+ b c))))
273.0ms
(* (* a (+ b c)) (* a (+ b c)))
273.0ms
(* (sqrt (* a (+ (pow b 3) (pow c 3)))) (sqrt (* a (+ (pow b 3) (pow c 3)))))
268.0ms
(* (* a (+ b c)) (* a (+ b c)))

prune1.2s

Pruning

4 alts after pruning (1 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

bsearch1.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
568.0ms8000×pre80true
491.0ms8000×body80valid