Details

Time bar (total: 33.6s)

sample456.0ms

Algorithm
intervals
Results
202.0ms1482×body80nan
60.0ms486×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
01718
13218
26518
317916
448716
5167116
done500116

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
0.6b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite539.0ms

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:
51.0ms
(* (- t 1.0) (log a))
18.0ms
(* y (log z))
343.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
123.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series517.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (- t 1.0) (log a))
44.0ms
(* y (log z))
246.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
153.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.2s

Counts
107 → 107
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02311531
14931495
214651209
done50001155

prune571.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow a (- t 1.0))
0.5b
(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
0.6b
(/ (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) y)
0.7b
(/ (pow a (- t 1.0)) (exp b))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
70×add-exp-log
66×times-frac
46×*-un-lft-identity
44×add-cube-cbrt
37×prod-exp
35×div-exp
34×unpow-prod-down
31×associate-*r*
25×add-cbrt-cube
16×unpow-prod-up pow-to-exp pow-exp sqr-pow
12×unswap-sqr
10×associate-/l*
8×sub-neg
7×cbrt-undiv associate-*l* cbrt-unprod
6×associate-/r*
5×pow1 pow-unpow
4×add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num associate-/l/ pow-sub
1×pow-pow *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 185
Calls
4 calls:
12.0ms
(pow a (- t 1.0))
48.0ms
(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
73.0ms
(/ (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) y)
23.0ms
(/ (pow a (- t 1.0)) (exp b))

series880.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(pow a (- t 1.0))
310.0ms
(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
342.0ms
(/ (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) y)
116.0ms
(/ (pow a (- t 1.0)) (exp b))

simplify1.9s

Counts
197 → 197
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03133366
17883185
229442874
done50022869

prune972.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ y (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))))
0.5b
(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
0.5b
(/ y (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))
0.7b
(/ (pow a (- t 1.0)) (exp b))

rewrite640.0ms

Algorithm
rewrite-expression-head
Rules
225×add-exp-log
134×div-exp
112×prod-exp
102×times-frac
85×add-sqr-sqrt
59×add-cube-cbrt *-un-lft-identity
45×add-cbrt-cube
36×pow-to-exp pow-exp
31×unpow-prod-down associate-*r*
17×cbrt-undiv
15×rec-exp 1-exp associate-/l* sqr-pow
14×unpow-prod-up
12×associate-/r* cbrt-unprod unswap-sqr
11×associate-*r/
8×div-inv
7×sub-neg associate-*l*
6×associate-/r/
5×pow1
4×add-log-exp
3×frac-2neg clear-num
1×pow-flip *-commutative associate-/l/ inv-pow pow-sub
Counts
4 → 261
Calls
4 calls:
105.0ms
(/ 1 (/ y (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))))
426.0ms
(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
60.0ms
(/ y (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))
23.0ms
(/ (pow a (- t 1.0)) (exp b))

series1.1s

Counts
4 → 12
Calls
4 calls:
407.0ms
(/ 1 (/ y (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))))
262.0ms
(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
326.0ms
(/ y (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))
106.0ms
(/ (pow a (- t 1.0)) (exp b))

simplify2.2s

Counts
273 → 273
Iterations

Useful iterations: done (2.1s)

IterNodesCost
04055582
19945194
232664544
done50004523

prune997.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (pow z y) (* (/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b))) (/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b)))))
0.5b
(/ y (* x (* (pow z y) (* (/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b))) (/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b)))))))
0.7b
(/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b)))
0.7b
(/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b)))

rewrite568.0ms

Algorithm
rewrite-expression-head
Rules
483×add-exp-log
250×prod-exp
203×div-exp
87×times-frac
84×pow-to-exp pow-exp
70×add-sqr-sqrt
68×add-cube-cbrt *-un-lft-identity
59×add-cbrt-cube
48×sqrt-prod
46×unpow-prod-down
24×cbrt-unprod
17×cbrt-undiv associate-/l*
16×sqr-pow
13×associate-/r*
11×associate-*r/
7×associate-*l*
4×pow1 add-log-exp
3×frac-2neg clear-num associate-/r/ div-inv unswap-sqr
2×frac-times div-sub associate-*l/ associate-/l/ pow-sub
1×associate-*r* *-commutative
Counts
4 → 298
Calls
4 calls:
148.0ms
(* (pow z y) (* (/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b))) (/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b)))))
342.0ms
(/ y (* x (* (pow z y) (* (/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b))) (/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b)))))))
20.0ms
(/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b)))
15.0ms
(/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b)))

series1.1s

Counts
4 → 12
Calls
4 calls:
305.0ms
(* (pow z y) (* (/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b))) (/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b)))))
459.0ms
(/ y (* x (* (pow z y) (* (/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b))) (/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b)))))))
136.0ms
(/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b)))
158.0ms
(/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b)))

simplify1.5s

Counts
310 → 310
Iterations

Useful iterations: done (1.5s)

IterNodesCost
03709366
18417261
225666039
done50006031

prune1.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes487.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 2.0b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01718
12118
done2118

end0.0ms

sample14.1s

Algorithm
intervals
Results
6.8s45302×body80nan
2.4s15154×body80valid