Details

Time bar (total: 12.8s)

sample30.0ms

Algorithm
intervals
Results
11.0ms256×pre80true
9.0ms256×body80valid

simplify45.0ms

Calls
1 calls:
Slowest
45.0ms
(* a (+ (+ b c) d))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity associate-*r* add-cube-cbrt
2×pow1 flip3-+ add-cbrt-cube associate-*r/ add-exp-log flip-+ insert-posit16 add-log-exp
1×distribute-rgt-in +-commutative associate-+l+ distribute-lft-in *-commutative
Calls
2 calls:
Slowest
5.0ms
(* a (+ (+ b c) d))
3.0ms
(+ (+ b c) d)

series30.0ms

Calls
2 calls:
Slowest
19.0ms
(* a (+ (+ b c) d))
11.0ms
(+ (+ b c) d)

simplify330.0ms

Calls
13 calls:
Slowest
161.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
38.0ms
(+ (* a d) (+ (* a b) (* a c)))
38.0ms
(+ (* a d) (+ (* a b) (* a c)))
14.0ms
(- (+ b c) d)
13.0ms
(cbrt (+ (+ b c) d))

prune203.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*r* add-cube-cbrt
2×distribute-rgt-in pow1 associate-+l+ distribute-lft-in flip3-+ add-cbrt-cube associate-*r/ add-exp-log flip-+ insert-posit16
1×+-commutative sum-log *-commutative distribute-lft-out
Calls
2 calls:
Slowest
3.0ms
(+ (* a (+ b c)) (* a d))
1.0ms
(* a (+ b c))

series44.0ms

Calls
2 calls:
Slowest
24.0ms
(+ (* a (+ b c)) (* a d))
19.0ms
(* a (+ b c))

simplify284.0ms

Calls
17 calls:
Slowest
92.0ms
(* (exp (* a (+ b c))) (exp (* a d)))
54.0ms
(+ (* b b) (- (* c c) (* b c)))
40.0ms
(+ (* a d) (+ (* a b) (* a c)))
37.0ms
(+ (* a d) (+ (* a b) (* a c)))
11.0ms
(+ (+ b c) d)

prune225.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (* a (+ b c))) (sqrt (* a (+ b c))))
0.2b
(sqrt (* a (+ b c)))
0.2b
(sqrt (* a (+ b c)))
0.0b
(+ (* (sqrt (* a (+ b c))) (sqrt (* a (+ b c)))) (* a d))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
16×sqrt-div
9×pow1 flip3-+ flip-+
6×add-sqr-sqrt *-un-lft-identity add-cbrt-cube pow1/2 add-exp-log add-cube-cbrt add-log-exp
4×frac-times associate-*r* associate-*l* sqrt-prod insert-posit16
2×pow-prod-down associate-*l/ pow-prod-up
1×pow2 +-commutative sum-log rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
8.0ms
(+ (* (sqrt (* a (+ b c))) (sqrt (* a (+ b c)))) (* a d))
7.0ms
(* (sqrt (* a (+ b c))) (sqrt (* a (+ b c))))
1.0ms
(sqrt (* a (+ b c)))
1.0ms
(sqrt (* a (+ b c)))

series106.0ms

Calls
4 calls:
Slowest
33.0ms
(sqrt (* a (+ b c)))
32.0ms
(sqrt (* a (+ b c)))
24.0ms
(+ (* (sqrt (* a (+ b c))) (sqrt (* a (+ b c)))) (* a d))
17.0ms
(* (sqrt (* a (+ b c))) (sqrt (* a (+ b c))))

simplify2.2s

Calls
49 calls:
Slowest
422.0ms
(* (* (* (sqrt (* a (+ b c))) (sqrt (* a (+ b c)))) (sqrt (* a (+ b c)))) (* (* (sqrt (* a (+ b c))) (sqrt (* a (+ b c)))) (sqrt (* a (+ b c)))))
145.0ms
(* (sqrt (* a (+ (pow b 3) (pow c 3)))) (sqrt (* a (- (* b b) (* c c)))))
144.0ms
(* (sqrt (* a (- (* b b) (* c c)))) (sqrt (* a (+ (pow b 3) (pow c 3)))))
129.0ms
(* (sqrt (* a (- (* b b) (* c c)))) (sqrt (* a (- (* b b) (* c c)))))
123.0ms
(sqrt (* a (- (* b b) (* c c))))

prune578.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (+ (* a (+ b c)) (* a d)))
0.7b
(cbrt (+ (* a (+ b c)) (* a d)))
0.7b
(cbrt (+ (* a (+ b c)) (* a d)))
0.5b
(* (cbrt (+ (* a (+ b c)) (* a d))) (cbrt (+ (* a (+ b c)) (* a d))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
18×cbrt-div
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1 flip3-+ flip-+
7×pow1/3 associate-*r* associate-*l*
6×add-exp-log
5×distribute-lft-out
4×frac-times add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down associate-*l/ associate-*r/ pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
14.0ms
(* (cbrt (+ (* a (+ b c)) (* a d))) (cbrt (+ (* a (+ b c)) (* a d))))
2.0ms
(cbrt (+ (* a (+ b c)) (* a d)))
2.0ms
(cbrt (+ (* a (+ b c)) (* a d)))
2.0ms
(cbrt (+ (* a (+ b c)) (* a d)))

series394.0ms

Calls
4 calls:
Slowest
113.0ms
(* (cbrt (+ (* a (+ b c)) (* a d))) (cbrt (+ (* a (+ b c)) (* a d))))
94.0ms
(cbrt (+ (* a (+ b c)) (* a d)))
94.0ms
(cbrt (+ (* a (+ b c)) (* a d)))
93.0ms
(cbrt (+ (* a (+ b c)) (* a d)))

simplify6.4s

Calls
64 calls:
Slowest
504.0ms
(cbrt (+ (pow (* a (+ b c)) 3) (pow (* a d) 3)))
502.0ms
(cbrt (+ (pow (* a (+ b c)) 3) (pow (* a d) 3)))
493.0ms
(cbrt (+ (pow (* a (+ b c)) 3) (pow (* a d) 3)))
327.0ms
(cbrt (- (* (* a (+ b c)) (* a (+ b c))) (* (* a d) (* a d))))
326.0ms
(cbrt (- (* (* a (+ b c)) (* a (+ b c))) (* (* a d) (* a d))))

prune720.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes235.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample884.0ms

Algorithm
intervals
Results
383.0ms8000×pre80true
363.0ms8000×body80valid