Details

Time bar (total: 34.4s)

sample57.0ms

Algorithm
intervals
Results
23.0ms256×pre80true
17.0ms256×body80valid

simplify261.0ms

Calls
1 calls:
Slowest
261.0ms
(+ (+ (+ (+ e d) c) b) a)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

Local error

Found 3 expressions with local error:

0.3b
(+ (+ (+ e d) c) b)
0.2b
(+ (+ e d) c)
0.2b
(+ (+ (+ (+ e d) c) b) a)

rewrite686.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
31×add-log-exp
29×distribute-lft-out
19×sum-log
15×fma-def
add-sqr-sqrt add-cube-cbrt
expm1-log1p-u pow1 +-commutative associate-+l+ flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u
Calls
3 calls:
Slowest
527.0ms
(+ (+ (+ (+ e d) c) b) a)
137.0ms
(+ (+ (+ e d) c) b)
20.0ms
(+ (+ e d) c)

series133.0ms

Calls
3 calls:
Slowest
69.0ms
(+ (+ (+ (+ e d) c) b) a)
48.0ms
(+ (+ (+ e d) c) b)
16.0ms
(+ (+ e d) c)

simplify3.3s

Calls
35 calls:
Slowest
721.0ms
(+ (+ (+ (+ e d) c) b) a)
279.0ms
(+ (+ (+ (+ e d) c) b) a)
260.0ms
(+ (+ (+ (+ e d) c) b) a)
230.0ms
(+ (+ (+ (+ e d) c) b) a)
221.0ms
(* (* (* (* (exp e) (exp d)) (exp c)) (exp b)) (exp a))

prune828.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

3.3b
(exp (+ (+ d e) (+ (+ c a) b)))
0.3b
(+ (+ d e) (+ (+ c a) b))
0.2b
(+ (+ c a) b)
0.0b
(log (exp (+ (+ d e) (+ (+ c a) b))))

rewrite541.0ms

Algorithm
rewrite-expression-head
Rules
81×*-un-lft-identity
52×add-log-exp
50×distribute-lft-out
33×sum-log
18×exp-prod
10×log-pow
add-sqr-sqrt add-cube-cbrt
fma-def
rem-exp-log
flip3-+ flip-+
pow1
expm1-log1p-u log-prod add-cbrt-cube frac-add add-exp-log insert-posit16 log1p-expm1-u
+-commutative associate-+l+ exp-sum
associate-+r+ rem-log-exp
Calls
4 calls:
Slowest
253.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
208.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
57.0ms
(+ (+ d e) (+ (+ c a) b))
19.0ms
(+ (+ c a) b)

series281.0ms

Calls
4 calls:
Slowest
94.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
87.0ms
(+ (+ d e) (+ (+ c a) b))
69.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
30.0ms
(+ (+ c a) b)

simplify8.8s

Calls
71 calls:
Slowest
475.0ms
(+ (* (+ (pow d 3) (pow e 3)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (+ (* d d) (- (* e e) (* d e))) (+ (pow (+ c a) 3) (pow b 3))))
436.0ms
(+ (* (- (* d d) (* e e)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (- d e) (+ (pow (+ c a) 3) (pow b 3))))
360.0ms
(* (+ (* d d) (- (* e e) (* d e))) (- (+ c a) b))
314.0ms
(exp (* (cbrt (+ (+ d e) (+ (+ c a) b))) (cbrt (+ (+ d e) (+ (+ c a) b)))))
302.0ms
(+ (* (+ (pow d 3) (pow e 3)) (- (+ c a) b)) (* (+ (* d d) (- (* e e) (* d e))) (- (* (+ c a) (+ c a)) (* b b))))

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

3.3b
(exp (+ e (+ a (+ b (+ c d)))))
0.3b
(+ a (+ b (+ c d)))
0.2b
(+ b (+ c d))
0.2b
(+ e (+ a (+ b (+ c d))))

rewrite504.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
47×add-log-exp
29×sum-log distribute-lft-out
fma-def
add-sqr-sqrt add-cube-cbrt
exp-prod
rem-exp-log
expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
+-commutative associate-+r+ flip3-+ flip-+
exp-sum
Calls
4 calls:
Slowest
355.0ms
(exp (+ e (+ a (+ b (+ c d)))))
107.0ms
(+ e (+ a (+ b (+ c d))))
28.0ms
(+ a (+ b (+ c d)))
13.0ms
(+ b (+ c d))

series198.0ms

Calls
4 calls:
Slowest
65.0ms
(exp (+ e (+ a (+ b (+ c d)))))
65.0ms
(+ e (+ a (+ b (+ c d))))
52.0ms
(+ a (+ b (+ c d)))
16.0ms
(+ b (+ c d))

simplify3.7s

Calls
51 calls:
Slowest
357.0ms
(exp (* (cbrt (+ e (+ a (+ b (+ c d))))) (cbrt (+ e (+ a (+ b (+ c d)))))))
272.0ms
(+ e (+ a (+ b (+ c d))))
270.0ms
(+ e (+ a (+ b (+ c d))))
244.0ms
(+ e (+ a (+ b (+ c d))))
237.0ms
(+ e (+ a (+ b (+ c d))))

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (exp a) (* (exp b) (* (exp c) (exp d))))
0.4b
(* (exp c) (exp d))
0.3b
(* (exp e) (* (exp a) (* (exp b) (* (exp c) (exp d)))))
0.3b
(* (exp b) (* (exp c) (exp d)))

rewrite526.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-cbrt-cube
23×*-un-lft-identity
20×pow-prod-down prod-exp cbrt-unprod
14×exp-prod
12×associate-*l*
11×add-sqr-sqrt
10×add-exp-log pow-prod-up
add-cube-cbrt
associate-*r*
expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
unswap-sqr
Calls
4 calls:
Slowest
327.0ms
(* (exp e) (* (exp a) (* (exp b) (* (exp c) (exp d)))))
136.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
48.0ms
(* (exp b) (* (exp c) (exp d)))
13.0ms
(* (exp c) (exp d))

series260.0ms

Calls
4 calls:
Slowest
111.0ms
(* (exp e) (* (exp a) (* (exp b) (* (exp c) (exp d)))))
73.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
41.0ms
(* (exp b) (* (exp c) (exp d)))
34.0ms
(* (exp c) (exp d))

simplify8.1s

Calls
66 calls:
Slowest
623.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp a) (exp a)) (exp a)) (* (* (* (exp b) (* (exp c) (exp d))) (* (exp b) (* (exp c) (exp d)))) (* (exp b) (* (exp c) (exp d))))))
523.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp a) (exp a)) (exp a)) (* (* (* (exp b) (exp b)) (exp b)) (* (* (* (exp c) (exp d)) (* (exp c) (exp d))) (* (exp c) (exp d))))))
518.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp a) (exp a)) (exp a)) (* (* (* (exp b) (exp b)) (exp b)) (* (* (* (exp c) (exp c)) (exp c)) (* (* (exp d) (exp d)) (exp d))))))
475.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp a) (* (exp b) (* (exp c) (exp d)))) (* (exp a) (* (exp b) (* (exp c) (exp d))))) (* (exp a) (* (exp b) (* (exp c) (exp d))))))
358.0ms
(* (* (* (exp c) (exp c)) (exp c)) (* (* (exp d) (exp d)) (exp d)))

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes288.0ms

Accuracy

0% (0.0b remaining)

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

bsearch6.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
598.0ms8000×pre80true
501.0ms8000×body80valid