Details

Time bar (total: 30.4s)

sample328.0ms

Algorithm
intervals
Results
116.0ms1482×body80nan
68.0ms486×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
01718
13218
26518
317916
448716
5167116
done500116

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

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))

rewrite326.0ms

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:
25.0ms
(* (- t 1.0) (log a))
9.0ms
(* y (log z))
208.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
81.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series459.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (- t 1.0) (log a))
40.0ms
(* y (log z))
207.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
139.0ms
(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

prune463.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite119.0ms

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:
6.0ms
(pow a (- t 1.0))
35.0ms
(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
55.0ms
(/ (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) y)
12.0ms
(/ (pow a (- t 1.0)) (exp b))

series769.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(pow a (- t 1.0))
269.0ms
(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
329.0ms
(/ (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) y)
89.0ms
(/ (pow a (- t 1.0)) (exp b))

simplify1.9s

Counts
197 → 197
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03133366
17883185
229442874
done50022869

prune662.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

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))

rewrite244.0ms

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:
100.0ms
(/ 1 (/ y (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))))
58.0ms
(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
55.0ms
(/ y (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))
14.0ms
(/ (pow a (- t 1.0)) (exp b))

series989.0ms

Counts
4 → 12
Calls
4 calls:
323.0ms
(/ 1 (/ y (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))))
213.0ms
(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
345.0ms
(/ y (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))
108.0ms
(/ (pow a (- t 1.0)) (exp b))

simplify2.0s

Counts
273 → 273
Iterations

Useful iterations: done (1.9s)

IterNodesCost
04055582
19945194
232664544
done50004523

prune966.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (pow z y) (/ (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)))

rewrite425.0ms

Algorithm
rewrite-expression-head
Rules
335×add-exp-log
165×prod-exp
147×times-frac
144×div-exp
142×add-sqr-sqrt
95×add-cube-cbrt *-un-lft-identity
78×sqrt-prod
76×unpow-prod-down
51×add-cbrt-cube
50×pow-to-exp pow-exp
46×associate-*r*
34×sqr-pow
21×unswap-sqr
19×cbrt-unprod
17×associate-/l*
16×cbrt-undiv
13×associate-/r*
7×associate-*r/ associate-*l*
4×pow1 div-inv add-log-exp
3×frac-2neg clear-num associate-/r/
2×div-sub associate-/l/ pow-sub
1×frac-times associate-*l/ *-commutative
Counts
4 → 319
Calls
4 calls:
50.0ms
(* (pow z y) (/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b))))
287.0ms
(/ y (* x (* (* (pow z y) (/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b)))) (/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b))))))
25.0ms
(/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b)))
17.0ms
(/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b)))

series878.0ms

Counts
4 → 12
Calls
4 calls:
298.0ms
(* (pow z y) (/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b))))
303.0ms
(/ y (* x (* (* (pow z y) (/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b)))) (/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b))))))
128.0ms
(/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b)))
148.0ms
(/ (pow a (/ (- t 1.0) 2)) (sqrt (exp b)))

simplify2.0s

Counts
331 → 331
Iterations

Useful iterations: done (2.0s)

IterNodesCost
04159038
110278162
235146656
done50006646

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes588.0ms

Accuracy

0% (1.9b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01718
12118
done2118

end0.0ms

sample12.8s

Algorithm
intervals
Results
5.6s45302×body80nan
2.7s15154×body80valid