Details

Time bar (total: 38.4s)

sample391.0ms

Algorithm
intervals
Results
181.0ms1482×body80nan
51.0ms472×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 3 (458.0ms)

IterNodesCost
01718
13218
26518
317916
448716
5167116
done500116

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- t 1.0) (log a))
0.2b
(* y (log z))
1.0b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.5b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite497.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×*-un-lft-identity
15×add-cube-cbrt
13×add-cbrt-cube
12×add-exp-log log-prod
10×pow1 add-log-exp
8×associate-*r* associate-*l*
6×distribute-rgt-in distribute-lft-in
5×exp-prod
3×times-frac exp-sum prod-exp associate-/r* 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×sub-neg flip3-- frac-2neg associate-*r/ associate--l+ clear-num sum-log flip-- div-inv associate-/l/ associate-/l*
Counts
4 → 95
Calls
4 calls:
29.0ms
(* (- t 1.0) (log a))
18.0ms
(* y (log z))
147.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
300.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series615.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (- t 1.0) (log a))
51.0ms
(* y (log z))
210.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
290.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.4s

Counts
107 → 107
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02311531
14931495
214661209
done50001155

prune596.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow a (- t 1.0))
0.5b
(/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y)))
0.7b
(* (pow a (- t 1.0)) (pow z y))
0.7b
(/ x (/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y))))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
131×add-exp-log
65×prod-exp
61×div-exp
36×add-cbrt-cube
35×add-sqr-sqrt
31×pow-to-exp pow-exp
23×*-un-lft-identity times-frac
21×add-cube-cbrt
15×unpow-prod-down
13×cbrt-undiv
9×associate-*l* cbrt-unprod unswap-sqr sqr-pow
7×associate-*r* associate-/r* pow-sub
6×associate-*l/ associate-/r/ div-inv
5×pow1 pow-unpow
4×unpow-prod-up associate-/l* add-log-exp
2×sub-neg frac-2neg clear-num
1×pow-pow *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 168
Calls
4 calls:
6.0ms
(pow a (- t 1.0))
27.0ms
(/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y)))
49.0ms
(* (pow a (- t 1.0)) (pow z y))
51.0ms
(/ x (/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y))))

series846.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(pow a (- t 1.0))
272.0ms
(/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y)))
176.0ms
(* (pow a (- t 1.0)) (pow z y))
307.0ms
(/ x (/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y))))

simplify1.9s

Counts
180 → 180
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02833364
17533156
229352797
done50002745

prune717.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (exp b))
0.5b
(/ (* y (exp b)) (* (pow a t) (pow z y)))
0.7b
(* (pow a t) (pow z y))
0.7b
(/ x (* (/ (* y (exp b)) (* (pow a t) (pow z y))) (pow a 1.0)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
311×add-exp-log
185×prod-exp
144×div-exp
75×pow-to-exp pow-exp
45×add-cbrt-cube
26×add-sqr-sqrt
15×cbrt-unprod
14×cbrt-undiv
12×add-cube-cbrt unpow-prod-down *-un-lft-identity
10×associate-*r* associate-*l* unswap-sqr
8×sqr-pow
6×pow1
4×times-frac associate-/l* add-log-exp
2×frac-2neg clear-num associate-/r* *-commutative div-inv
1×pow-prod-down associate-*l/ associate-/r/
Counts
4 → 184
Calls
4 calls:
15.0ms
(* y (exp b))
19.0ms
(/ (* y (exp b)) (* (pow a t) (pow z y)))
17.0ms
(* (pow a t) (pow z y))
72.0ms
(/ x (* (/ (* y (exp b)) (* (pow a t) (pow z y))) (pow a 1.0)))

series886.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* y (exp b))
228.0ms
(/ (* y (exp b)) (* (pow a t) (pow z y)))
142.0ms
(* (pow a t) (pow z y))
491.0ms
(/ x (* (/ (* y (exp b)) (* (pow a t) (pow z y))) (pow a 1.0)))

simplify1.9s

Counts
196 → 196
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02833616
17963339
229822899
done50002871

prune559.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (pow a t) (pow z y))
1.7b
(* (pow (/ 1 (pow a 1.0)) 1.0) (* (/ x y) (exp (- (- (- (log (* (pow a t) (pow z y))))) b))))
3.7b
(* (/ x y) (exp (- (- (- (log (* (pow a t) (pow z y))))) b)))
4.6b
(log (* (pow a t) (pow z y)))

rewrite4.7s

Algorithm
rewrite-expression-head
Rules
113×add-exp-log
80×prod-exp
51×pow-exp
49×associate-*l*
48×add-sqr-sqrt
46×unpow-prod-down
31×add-cube-cbrt *-un-lft-identity times-frac div-exp
24×pow-to-exp
20×add-cbrt-cube
14×associate-*r*
12×sqr-pow
11×unswap-sqr
10×rem-log-exp
9×rec-exp 1-exp
8×cbrt-unprod
7×pow1
5×associate-*r/
4×exp-diff add-log-exp
3×exp-sum *-commutative
2×cbrt-undiv frac-times log-prod distribute-neg-in associate-*l/ div-inv
1×sub-neg pow-prod-down associate--l+ log-pow
Counts
4 → 177
Calls
4 calls:
38.0ms
(* (pow a t) (pow z y))
3.3s
(* (pow (/ 1 (pow a 1.0)) 1.0) (* (/ x y) (exp (- (- (- (log (* (pow a t) (pow z y))))) b))))
1.4s
(* (/ x y) (exp (- (- (- (log (* (pow a t) (pow z y))))) b)))
14.0ms
(log (* (pow a t) (pow z y)))

series1.5s

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (pow a t) (pow z y))
783.0ms
(* (pow (/ 1 (pow a 1.0)) 1.0) (* (/ x y) (exp (- (- (- (log (* (pow a t) (pow z y))))) b))))
320.0ms
(* (/ x y) (exp (- (- (- (log (* (pow a t) (pow z y))))) b)))
184.0ms
(log (* (pow a t) (pow z y)))

simplify1.6s

Counts
189 → 189
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03443953
18033429
224603072
done50003005

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes589.0ms

Accuracy

-37.5% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 1.9b

bsearch675.0ms

Steps
ItersRangePoint
7
3.4852920176361423e-75
2.9870285751196506e-73
3.541246463368194e-75
10
2.735098669126272e-188
1.238971366563688e-176
7.683339156886952e-177

simplify10.0ms

Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
03869
15050
done5050

end0.0ms

sample14.7s

Algorithm
intervals
Results
7.4s45618×body80nan
2.4s15053×body80valid