Details

Time bar (total: 1.6m)

sample457.0ms

Algorithm
intervals
Results
294.0ms1475×body80nan
92.0ms495×body80valid

simplify184.0ms

Calls
1 calls:
Slowest
184.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize31.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.0b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.3b
(* y (log z))
0.1b
(* (- t 1.0) (log a))

rewrite302.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×*-un-lft-identity
15×add-cube-cbrt
13×add-cbrt-cube
12×log-prod add-exp-log
10×pow1 add-log-exp
8×associate-*r* associate-*l*
6×distribute-rgt-in distribute-lft-in
5×exp-prod
4×insert-posit16
3×associate-/r* times-frac exp-sum prod-exp cbrt-unprod rem-exp-log
2×cbrt-undiv exp-diff diff-log div-exp pow-prod-down associate-*l/ log-pow *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
1×clear-num sum-log sub-neg frac-2neg flip3-- associate--l+ associate-*r/ div-inv flip-- associate-/l* associate-/l/
Calls
4 calls:
Slowest
190.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
68.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
33.0ms
(* (- t 1.0) (log a))
8.0ms
(* y (log z))

series584.0ms

Calls
4 calls:
Slowest
242.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
180.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
100.0ms
(* (- t 1.0) (log a))
62.0ms
(* y (log z))

simplify8.9s

Calls
74 calls:
Slowest
513.0ms
(+ (* t (* (log a) (exp (- (* 1.0 (log a)))))) (+ (exp (- (* 1.0 (log a)))) (* (log z) (* (exp (- (* 1.0 (log a)))) y))))
476.0ms
(/ (* (* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (* (* y y) y))
418.0ms
(/ (* x (exp (- (* 1.0 (log (/ 1 a))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))) y)
411.0ms
(/ (* (* (* x x) x) (* (* (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (* (* y y) y))
400.0ms
(* (- (pow t 3) (pow 1.0 3)) (log a))

prune1.9s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.8b

localize36.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (* x (exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))) y)
1.0b
(exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))
0.3b
(* t (log a))
0.3b
(* (log z) y)

rewrite486.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt add-log-exp
15×*-un-lft-identity
13×add-cbrt-cube add-cube-cbrt
12×add-exp-log
10×pow1
7×associate-*r* associate-*l*
6×log-prod
5×rem-exp-log
4×exp-prod sum-log exp-diff diff-log insert-posit16
3×distribute-rgt-in associate-/r* distribute-lft-in times-frac prod-exp cbrt-unprod
2×cbrt-undiv associate-+r- div-exp pow-prod-down associate-*r/ log-pow *-commutative associate-+l- unswap-sqr associate-/l/
1×clear-num frac-2neg exp-sum div-inv distribute-lft-out associate-/l*
Calls
4 calls:
Slowest
339.0ms
(/ (* x (exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))) y)
121.0ms
(exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))
14.0ms
(* (log z) y)
10.0ms
(* t (log a))

series585.0ms

Calls
4 calls:
Slowest
262.0ms
(/ (* x (exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))) y)
188.0ms
(exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))
73.0ms
(* t (log a))
62.0ms
(* (log z) y)

simplify9.3s

Calls
64 calls:
Slowest
875.0ms
(/ (* (* (* x x) x) (* (* (exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b))) (exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))) (exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b))))) (* (* y y) y))
851.0ms
(/ (* (* (* x (exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))) (* x (exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b))))) (* x (exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b))))) (* (* y y) y))
757.0ms
(/ (* x (exp (- (* 1.0 (log (/ 1 a))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))) y)
490.0ms
(+ (* t (* (log a) (exp (- (* 1.0 (log a)))))) (+ (exp (- (* 1.0 (log a)))) (* (log z) (* (exp (- (* 1.0 (log a)))) y))))
446.0ms
(* x (exp (+ (- (* (log z) y) (* 1.0 (log a))) (* t (log a)))))

prune1.8s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.8b

localize31.0ms

Local error

Found 4 expressions with local error:

1.0b
(exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))
1.0b
(/ x (/ y (exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))))
0.3b
(* t (log a))
0.3b
(* (log z) y)

rewrite305.0ms

Algorithm
rewrite-expression-head
Rules
102×times-frac
66×add-sqr-sqrt
64×*-un-lft-identity
62×add-cube-cbrt
18×associate-/r*
17×add-log-exp
13×add-cbrt-cube exp-sum
12×add-exp-log
10×pow1 exp-diff
9×associate-/r/
7×associate-*r* associate-*l*
6×log-prod
5×associate-+r- associate-+l- div-inv rem-exp-log
4×exp-prod sum-log diff-log insert-posit16
3×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp associate-/l*
2×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
1×clear-num frac-2neg distribute-lft-out
Calls
4 calls:
Slowest
164.0ms
(/ x (/ y (exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))))
125.0ms
(exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))
6.0ms
(* t (log a))
6.0ms
(* (log z) y)

series587.0ms

Calls
4 calls:
Slowest
264.0ms
(/ x (/ y (exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))))
179.0ms
(exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))
90.0ms
(* (log z) y)
53.0ms
(* t (log a))

simplify37.9s

Calls
183 calls:
Slowest
1.5s
(/ 1 (/ (* (cbrt y) (cbrt y)) (exp (- (* (log z) y) (* 1.0 (log a))))))
1.0s
(/ (* (cbrt x) (cbrt x)) (/ 1 (exp (- (* (log z) y) (* 1.0 (log a))))))
838.0ms
(/ (sqrt x) (/ (* (cbrt y) (cbrt y)) (exp (- (* (log z) y) (* 1.0 (log a))))))
753.0ms
(/ (* (* x x) x) (/ (* (* y y) y) (* (* (exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b))) (exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))) (exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b))))))
750.0ms
(/ (* (cbrt x) (cbrt x)) (/ (sqrt y) (exp (- (* (log z) y) (* 1.0 (log a))))))

prune3.0s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.7b

localize79.0ms

Local error

Found 4 expressions with local error:

1.0b
(exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))
1.0b
(exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))
1.0b
(exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))
0.6b
(cbrt y)

rewrite381.0ms

Algorithm
rewrite-expression-head
Rules
43×add-log-exp
15×rem-exp-log
14×*-un-lft-identity
12×exp-prod sum-log diff-log
8×add-sqr-sqrt add-cube-cbrt
6×exp-diff
4×pow1 add-cbrt-cube add-exp-log insert-posit16
3×cbrt-prod associate-+r- exp-sum associate-+l- distribute-lft-out
1×pow1/3
Calls
4 calls:
Slowest
140.0ms
(exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))
120.0ms
(exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))
119.0ms
(exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))
1.0ms
(cbrt y)

series830.0ms

Calls
4 calls:
Slowest
241.0ms
(cbrt y)
219.0ms
(exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))
210.0ms
(exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))
160.0ms
(exp (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b)))

simplify8.7s

Calls
51 calls:
Slowest
447.0ms
(+ (* t (* (log a) (exp (- (* 1.0 (log a)))))) (+ (exp (- (* 1.0 (log a)))) (* (log z) (* (exp (- (* 1.0 (log a)))) y))))
440.0ms
(+ (* t (* (log a) (exp (- (* 1.0 (log a)))))) (+ (exp (- (* 1.0 (log a)))) (* (log z) (* (exp (- (* 1.0 (log a)))) y))))
438.0ms
(exp (sqrt (+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b))))
415.0ms
(+ (* t (* (log a) (exp (- (* 1.0 (log a)))))) (+ (exp (- (* 1.0 (log a)))) (* (log z) (* (exp (- (* 1.0 (log a)))) y))))
396.0ms
(+ (- (* (log z) y) (* 1.0 (log a))) (- (* t (log a)) b))

prune2.0s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.7b

regimes1.9s

Accuracy

0% (0.4b remaining)

Error of 1.1b against oracle of 0.7b and baseline of 1.1b

bsearch7.0ms

end0.0ms

sample14.0s

Algorithm
intervals
Results
7.8s45339×body80nan
3.6s14986×body80valid