Details

Time bar (total: 27.1s)

sample67.0ms

Algorithm
intervals
Results
21.0ms256×pre80true
20.0ms256×body80valid

simplify395.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
395.0ms
(* (+ a (+ b (+ c d))) 2)

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize12.0ms

Local error

Found 2 expressions with local error:

2.6b
(+ a (+ b (+ c d)))
0.5b
(+ b (+ c d))

rewrite74.0ms

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
Counts
2 → 44
Calls
2 calls:
Slowest
50.0ms
(+ a (+ b (+ c d)))
22.0ms
(+ b (+ c d))

series76.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
53.0ms
(+ a (+ b (+ c d)))
22.0ms
(+ b (+ c d))

simplify939.0ms

Counts
21 → 50
Calls
21 calls:
Slowest
179.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
161.0ms
(* (exp a) (exp (+ b (+ c d))))
147.0ms
(* (exp a) (* (exp b) (exp (+ c d))))
69.0ms
(+ a (+ b (+ c d)))
63.0ms
(+ a (+ b (+ c d)))

prune491.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.2b

localize20.0ms

Local error

Found 1 expressions with local error:

2.6b
(+ a (+ (+ b c) d))

rewrite83.0ms

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
Counts
1 → 23
Calls
1 calls:
Slowest
82.0ms
(+ a (+ (+ b c) d))

series43.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
43.0ms
(+ a (+ (+ b c) d))

simplify746.0ms

Counts
11 → 26
Calls
11 calls:
Slowest
210.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
185.0ms
(* (exp a) (exp (+ (+ b c) d)))
158.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
55.0ms
(+ a (+ (+ b c) d))
49.0ms
(+ a (+ (+ b c) d))

prune334.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.4b

localize23.0ms

Local error

Found 1 expressions with local error:

2.6b
(+ (+ a (+ b c)) d)

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
10×add-log-exp
9×distribute-lft-out
6×sum-log
5×fma-def
2×add-sqr-sqrt add-cube-cbrt
1×expm1-log1p-u pow1 +-commutative associate-+l+ flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u
Counts
1 → 25
Calls
1 calls:
Slowest
115.0ms
(+ (+ a (+ b c)) d)

series43.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
43.0ms
(+ (+ a (+ b c)) d)

simplify795.0ms

Counts
11 → 28
Calls
11 calls:
Slowest
173.0ms
(* (* (exp a) (exp (+ b c))) (exp d))
165.0ms
(* (* (exp a) (* (exp b) (exp c))) (exp d))
142.0ms
(* (exp (+ a (+ b c))) (exp d))
80.0ms
(+ (+ a (+ b c)) d)
70.0ms
(+ (+ a (+ b c)) d)

prune272.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 1.2b

localize22.0ms

Local error

Found 4 expressions with local error:

2.6b
(+ a (+ (+ b c) d))
2.6b
(+ a (+ (+ b c) d))
2.6b
(+ a (+ (+ b c) d))
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

rewrite553.0ms

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
Counts
4 → 108
Calls
4 calls:
Slowest
340.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
82.0ms
(+ a (+ (+ b c) d))
67.0ms
(+ a (+ (+ b c) d))
60.0ms
(+ a (+ (+ b c) d))

series223.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
101.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
43.0ms
(+ a (+ (+ b c) d))
43.0ms
(+ a (+ (+ b c) d))
36.0ms
(+ a (+ (+ b c) d))

simplify17.4s

Counts
63 → 120
Calls
63 calls:
Slowest
930.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
866.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
826.0ms
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d)))) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d)))))
824.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
791.0ms
(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))))

prune1.3s

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 0.8b

regimes1.4s

Accuracy

0% (1.9b remaining)

Error of 2.7b against oracle of 0.9b and baseline of 2.7b

bsearch5.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
899.0ms8000×body80valid
535.0ms8000×pre80true