Details

Time bar (total: 33.0s)

sample41.0ms

Algorithm
intervals
Results
14.0ms256×pre80true
11.0ms256×body80valid

simplify91.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
91.0ms
(* a (+ (+ b c) d))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite99.0ms

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
98.0ms
(* a (+ (+ b c) d))

series48.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
48.0ms
(* a (+ (+ b c) d))

simplify2.4s

Counts
30 → 28
Calls
30 calls:
Slowest
367.0ms
(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
310.0ms
(* a (+ (pow (+ b c) 3) (pow d 3)))
286.0ms
(* a (- (* (+ b c) (+ b c)) (* d d)))
247.0ms
(* (* (* a (+ (+ b c) d)) (* a (+ (+ b c) d))) (* a (+ (+ b c) d)))
187.0ms
(exp (* a (+ (+ b c) d)))

prune228.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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
16.0ms
(* a (+ b c))
10.0ms
(+ (* a (+ b c)) (* a d))

series96.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
63.0ms
(+ (* a (+ b c)) (* a d))
32.0ms
(* a (+ b c))

simplify3.4s

Counts
48 → 45
Calls
48 calls:
Slowest
335.0ms
(* (exp (* a (+ b c))) (exp (* a d)))
298.0ms
(* (* (+ (* a (+ b c)) (* a d)) (+ (* a (+ b c)) (* a d))) (+ (* a (+ b c)) (* a d)))
234.0ms
(* a (+ (pow b 3) (pow c 3)))
231.0ms
(exp (+ (* a (+ b c)) (* a d)))
207.0ms
(* a (- (* b b) (* c c)))

prune398.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

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

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity sqrt-div
15×add-sqr-sqrt
14×associate-*r*
13×sqrt-prod
12×pow1
11×add-cbrt-cube add-exp-log
10×associate-*r/ add-cube-cbrt
9×flip3-+ flip-+
6×add-log-exp
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16
3×distribute-lft-out
2×associate-*l/ *-commutative unswap-sqr
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
4 → 86
Calls
4 calls:
Slowest
44.0ms
(* (* a (sqrt (+ b c))) (sqrt (+ b c)))
41.0ms
(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
28.0ms
(* a (sqrt (+ b c)))
5.0ms
(sqrt (+ b c))

series316.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
100.0ms
(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
81.0ms
(* a (sqrt (+ b c)))
73.0ms
(* (* a (sqrt (+ b c))) (sqrt (+ b c)))
62.0ms
(sqrt (+ b c))

simplify7.8s

Counts
107 → 98
Calls
107 calls:
Slowest
824.0ms
(* (* a (sqrt (+ (pow b 3) (pow c 3)))) (sqrt (+ b c)))
406.0ms
(* (* (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* (* a (sqrt (+ b c))) (sqrt (+ b c)))) (* (* a (sqrt (+ b c))) (sqrt (+ b c))))
405.0ms
(* (* a (sqrt (+ b c))) (sqrt (+ (pow b 3) (pow c 3))))
342.0ms
(* (exp (* (* a (sqrt (+ b c))) (sqrt (+ b c)))) (exp (* a d)))
332.0ms
(* (* (* a (sqrt (+ b c))) (* a (sqrt (+ b c)))) (* a (sqrt (+ b c))))

prune939.0ms

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

rewrite240.0ms

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:
Slowest
124.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))
70.0ms
(* a (+ (+ b c) d))
23.0ms
(sqrt (* a (+ (+ b c) d)))
18.0ms
(sqrt (* a (+ (+ b c) d)))

series592.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
278.0ms
(sqrt (* a (+ (+ b c) d)))
241.0ms
(sqrt (* a (+ (+ b c) d)))
37.0ms
(* a (+ (+ b c) d))
37.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify13.2s

Counts
135 → 123
Calls
135 calls:
Slowest
403.0ms
(sqrt (* a (- (* (+ b c) (+ b c)) (* d d))))
402.0ms
(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
390.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (pow (+ b c) 3) (pow d 3)))))
378.0ms
(* a (- (* (+ b c) (+ b c)) (* d d)))
374.0ms
(sqrt (* a (- (* (+ b c) (+ b c)) (* d d))))

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes416.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
516.0ms8000×pre80true
494.0ms8000×body80valid