Details

Time bar (total: 29.1s)

sample63.0ms

Algorithm
intervals
Results
22.0ms256×pre80true
19.0ms256×body80valid

simplify349.0ms

Calls
1 calls:
Slowest
349.0ms
(* (+ a (+ b (+ c d))) 2)

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize11.0ms

Local error

Found 2 expressions with local error:

3.0b
(+ a (+ b (+ c d)))
0.4b
(+ b (+ c d))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
16×add-log-exp
9×sum-log distribute-lft-out
6×fma-def
4×add-sqr-sqrt add-cube-cbrt
2×expm1-log1p-u pow1 +-commutative associate-+r+ flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u
Calls
2 calls:
Slowest
45.0ms
(+ a (+ b (+ c d)))
11.0ms
(+ b (+ c d))

series72.0ms

Calls
2 calls:
Slowest
45.0ms
(+ a (+ b (+ c d)))
27.0ms
(+ b (+ c d))

simplify933.0ms

Calls
21 calls:
Slowest
195.0ms
(* (exp a) (exp (+ b (+ c d))))
179.0ms
(* (exp a) (* (exp b) (exp (+ c d))))
164.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
68.0ms
(+ a (+ b (+ c d)))
68.0ms
(+ a (+ b (+ c d)))

prune404.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.5b

localize26.0ms

Local error

Found 1 expressions with local error:

3.0b
(+ a (+ (+ b c) d))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-log-exp
6×sum-log distribute-lft-out
3×fma-def
2×add-sqr-sqrt add-cube-cbrt
1×expm1-log1p-u pow1 +-commutative associate-+r+ flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u
Calls
1 calls:
Slowest
83.0ms
(+ a (+ (+ b c) d))

series56.0ms

Calls
1 calls:
Slowest
56.0ms
(+ a (+ (+ b c) d))

simplify688.0ms

Calls
11 calls:
Slowest
189.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
180.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
150.0ms
(* (exp a) (exp (+ (+ b c) d)))
47.0ms
(+ a (+ (+ b c) d))
40.0ms
(+ a (+ (+ b c) d))

prune284.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 1.8b

localize41.0ms

Local error

Found 4 expressions with local error:

3.0b
(+ a (+ (+ b c) d))
3.0b
(+ a (+ (+ b c) d))
3.0b
(+ a (+ (+ b c) d))
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

rewrite621.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
31×add-log-exp
30×flip3-+ flip-+
28×frac-times
26×cbrt-div
18×sum-log distribute-lft-out
14×associate-*l/
9×fma-def
8×associate-*r/
7×add-sqr-sqrt add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×+-commutative associate-+r+
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Calls
4 calls:
Slowest
407.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
80.0ms
(+ a (+ (+ b c) d))
80.0ms
(+ a (+ (+ b c) d))
53.0ms
(+ a (+ (+ b c) d))

series200.0ms

Calls
4 calls:
Slowest
64.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
54.0ms
(+ a (+ (+ b c) d))
45.0ms
(+ a (+ (+ b c) d))
37.0ms
(+ a (+ (+ b c) d))

simplify17.1s

Calls
63 calls:
Slowest
1.1s
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
933.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
885.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
835.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
651.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d)))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))

prune1.2s

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 1.2b

localize33.0ms

Local error

Found 4 expressions with local error:

3.0b
(+ a (+ (+ b c) d))
3.0b
(+ a (+ (+ b c) d))
1.2b
(+ d (+ a b))
0.9b
(log (exp (+ (+ d (+ a b)) c)))

rewrite363.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
27×add-log-exp
21×distribute-lft-out
15×sum-log
9×add-sqr-sqrt fma-def add-cube-cbrt
7×log-pow
6×exp-prod
5×pow1
4×expm1-log1p-u log-prod add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×+-commutative associate-+r+ flip3-+ flip-+
1×rem-log-exp exp-sum
Calls
4 calls:
Slowest
249.0ms
(log (exp (+ (+ d (+ a b)) c)))
53.0ms
(+ a (+ (+ b c) d))
49.0ms
(+ a (+ (+ b c) d))
11.0ms
(+ d (+ a b))

series146.0ms

Calls
4 calls:
Slowest
41.0ms
(+ a (+ (+ b c) d))
41.0ms
(log (exp (+ (+ d (+ a b)) c)))
36.0ms
(+ a (+ (+ b c) d))
28.0ms
(+ d (+ a b))

simplify2.2s

Calls
45 calls:
Slowest
161.0ms
(* (exp a) (exp (+ (+ b c) d)))
155.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
153.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
140.0ms
(log (* (cbrt (exp (+ (+ d (+ a b)) c))) (cbrt (exp (+ (+ d (+ a b)) c)))))
137.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))

prune1.3s

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 0.7b

regimes1.5s

Accuracy

0% (2.1b remaining)

Error of 2.7b against oracle of 0.6b and baseline of 2.7b

bsearch8.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
563.0ms8000×pre80true
506.0ms8000×body80valid