Details

Time bar (total: 28.3s)

sample47.0ms

Algorithm
intervals
Results
16.0ms256×pre80true
14.0ms256×body80valid

simplify372.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
371.0ms
(* (+ a (+ b (+ c d))) 2)

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize22.0ms

Local error

Found 2 expressions with local error:

2.7b
(+ a (+ b (+ c d)))
0.5b
(+ b (+ c d))

rewrite53.0ms

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
30.0ms
(+ a (+ b (+ c d)))
23.0ms
(+ b (+ c d))

series85.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
57.0ms
(+ a (+ b (+ c d)))
29.0ms
(+ b (+ c d))

simplify996.0ms

Counts
21 → 50
Calls
21 calls:
Slowest
230.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
179.0ms
(* (exp a) (exp (+ b (+ c d))))
171.0ms
(* (exp a) (* (exp b) (exp (+ c d))))
56.0ms
(+ a (+ b (+ c d)))
55.0ms
(+ a (+ b (+ c d)))

prune454.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.2b

localize24.0ms

Local error

Found 1 expressions with local error:

2.7b
(+ a (+ (+ b c) d))

rewrite65.0ms

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
64.0ms
(+ a (+ (+ b c) d))

series53.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
53.0ms
(+ a (+ (+ b c) d))

simplify891.0ms

Counts
11 → 26
Calls
11 calls:
Slowest
231.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
205.0ms
(* (exp a) (exp (+ (+ b c) d)))
198.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))
61.0ms
(+ a (+ (+ b c) d))
58.0ms
(+ a (+ (+ b c) d))

prune279.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.5b

localize24.0ms

Local error

Found 1 expressions with local error:

2.7b
(+ (+ a (+ b c)) d)

rewrite97.0ms

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
97.0ms
(+ (+ a (+ b c)) d)

series42.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
42.0ms
(+ (+ a (+ b c)) d)

simplify846.0ms

Counts
11 → 28
Calls
11 calls:
Slowest
222.0ms
(* (* (exp a) (exp (+ b c))) (exp d))
220.0ms
(* (* (exp a) (* (exp b) (exp c))) (exp d))
156.0ms
(* (exp (+ a (+ b c))) (exp d))
64.0ms
(+ (+ a (+ b c)) d)
53.0ms
(+ (+ a (+ b c)) d)

prune317.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 1.2b

localize20.0ms

Local error

Found 4 expressions with local error:

2.7b
(+ (+ a (+ b c)) d)
2.7b
(+ (+ a (+ b c)) d)
2.7b
(+ (+ a (+ b c)) d)
0.6b
(cbrt (* (* (+ (+ a (+ b c)) d) (+ (+ a (+ b c)) d)) (+ (+ a (+ b c)) d)))

rewrite735.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
31×add-log-exp
30×flip3-+ flip-+
28×frac-times
27×distribute-lft-out
26×cbrt-div
18×sum-log
15×fma-def
14×associate-*l/
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-+l+
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 114
Calls
4 calls:
Slowest
433.0ms
(cbrt (* (* (+ (+ a (+ b c)) d) (+ (+ a (+ b c)) d)) (+ (+ a (+ b c)) d)))
117.0ms
(+ (+ a (+ b c)) d)
92.0ms
(+ (+ a (+ b c)) d)
91.0ms
(+ (+ a (+ b c)) d)

series222.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
83.0ms
(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)
40.0ms
(+ (+ a (+ b c)) d)

simplify18.4s

Counts
64 → 126
Calls
64 calls:
Slowest
1.0s
(cbrt (* (* (+ (pow (+ a (+ b c)) 3) (pow d 3)) (+ (+ a (+ b c)) d)) (+ (+ a (+ b c)) d)))
994.0ms
(cbrt (* (* (- (* (+ a (+ b c)) (+ a (+ b c))) (* d d)) (+ (pow (+ a (+ b c)) 3) (pow d 3))) (+ (+ a (+ b c)) d)))
830.0ms
(cbrt (* (* (- (* (+ a (+ b c)) (+ a (+ b c))) (* d d)) (+ (+ a (+ b c)) d)) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
816.0ms
(cbrt (* (* (+ (+ a (+ b c)) d) (+ (pow (+ a (+ b c)) 3) (pow d 3))) (- (* (+ a (+ b c)) (+ a (+ b c))) (* d d))))
811.0ms
(cbrt (* (* (- (* (+ a (+ b c)) (+ a (+ b c))) (* d d)) (+ (pow (+ a (+ b c)) 3) (pow d 3))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))

prune1.3s

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 0.9b

regimes1.4s

Accuracy

0% (1.7b remaining)

Error of 2.7b against oracle of 1.0b and baseline of 2.7b

bsearch6.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
664.0ms8000×pre80true
587.0ms8000×body80valid