Details

Time bar (total: 29.9s)

sample366.0ms

Algorithm
intervals
Results
129.0ms1561×body80nan
47.0ms481×body80valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
01718
13218
26518
317916
448716
5167116
done500116

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.2b
(* y (log z))
0.6b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.0b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite427.0ms

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:
27.0ms
(* (- t 1.0) (log a))
9.0ms
(* y (log z))
258.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
130.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series525.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* (- t 1.0) (log a))
46.0ms
(* y (log z))
231.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
163.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.3s

Counts
107 → 107
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02311531
14931495
214651209
done50001155

prune653.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow a (- t 1.0))
0.2b
(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
0.6b
(/ (* (/ (* (pow a (- t 1.0)) (pow z y)) (exp b)) x) y)
0.8b
(* (pow a (- t 1.0)) (pow z y))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
68×add-exp-log
38×prod-exp
32×div-exp
28×add-sqr-sqrt
25×add-cbrt-cube
19×pow-to-exp pow-exp
16×*-un-lft-identity
15×unpow-prod-down
14×add-cube-cbrt
9×associate-*l* unswap-sqr sqr-pow
8×cbrt-undiv
7×associate-*r*
6×times-frac associate-/r* cbrt-unprod
5×pow1 pow-unpow
4×unpow-prod-up add-log-exp
3×associate-*l/ pow-sub
2×sub-neg frac-2neg clear-num div-inv associate-/l/ associate-/l*
1×pow-pow *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 130
Calls
4 calls:
6.0ms
(pow a (- t 1.0))
23.0ms
(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
43.0ms
(/ (* (/ (* (pow a (- t 1.0)) (pow z y)) (exp b)) x) y)
28.0ms
(* (pow a (- t 1.0)) (pow z y))

series1.1s

Counts
4 → 12
Calls
4 calls:
107.0ms
(pow a (- t 1.0))
313.0ms
(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
539.0ms
(/ (* (/ (* (pow a (- t 1.0)) (pow z y)) (exp b)) x) y)
185.0ms
(* (pow a (- t 1.0)) (pow z y))

simplify1.5s

Counts
142 → 142
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02482324
16292181
224031897
done50001889

prune640.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0))) x)
0.3b
(/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0)))
0.6b
(/ (* (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0))) x) y)
0.7b
(* (pow a t) (pow z y))

rewrite265.0ms

Algorithm
rewrite-expression-head
Rules
389×add-exp-log
289×prod-exp
162×div-exp
108×pow-to-exp pow-exp
61×add-cbrt-cube
26×add-sqr-sqrt
23×cbrt-unprod
18×cbrt-undiv
12×add-cube-cbrt unpow-prod-down *-un-lft-identity associate-*l*
10×associate-*r* unswap-sqr
8×sqr-pow
6×pow1
5×times-frac
4×associate-/r* add-log-exp
3×div-inv
2×frac-2neg associate-*l/ clear-num *-commutative associate-/l*
1×pow-prod-down associate-/l/
Counts
4 → 229
Calls
4 calls:
74.0ms
(* (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0))) x)
48.0ms
(/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0)))
104.0ms
(/ (* (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0))) x) y)
18.0ms
(* (pow a t) (pow z y))

series2.4s

Counts
4 → 12
Calls
4 calls:
916.0ms
(* (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0))) x)
519.0ms
(/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0)))
789.0ms
(/ (* (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0))) x) y)
157.0ms
(* (pow a t) (pow z y))

simplify2.1s

Counts
241 → 241
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02834892
17864568
232793920
done50023827

prune638.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0))) x)
0.3b
(/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0)))
0.6b
(/ y (* (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0))) x))
0.7b
(* (pow a t) (pow z y))

rewrite268.0ms

Algorithm
rewrite-expression-head
Rules
389×add-exp-log
289×prod-exp
162×div-exp
108×pow-to-exp pow-exp
61×add-cbrt-cube
26×add-sqr-sqrt
23×cbrt-unprod
18×cbrt-undiv
12×add-cube-cbrt unpow-prod-down *-un-lft-identity associate-*l*
10×associate-*r* unswap-sqr
8×sqr-pow
6×pow1
5×times-frac
4×associate-/l* add-log-exp
3×div-inv
2×frac-2neg associate-*l/ clear-num associate-/r* *-commutative
1×pow-prod-down associate-/r/
Counts
4 → 229
Calls
4 calls:
75.0ms
(* (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0))) x)
47.0ms
(/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0)))
95.0ms
(/ y (* (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0))) x))
24.0ms
(* (pow a t) (pow z y))

series2.1s

Counts
4 → 12
Calls
4 calls:
910.0ms
(* (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0))) x)
508.0ms
(/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0)))
535.0ms
(/ y (* (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0))) x))
116.0ms
(* (pow a t) (pow z y))

simplify1.9s

Counts
241 → 241
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02894899
18254587
232783947
done50003854

prune689.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes578.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.1b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01718
12118
done2118

end0.0ms

sample9.5s

Algorithm
intervals
Results
3.3s45300×body80nan
1.4s15106×body80valid