Details

Time bar (total: 50.6s)

sample512.0ms

Algorithm
intervals
Results
210.0ms1519×body80nan
103.0ms525×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
01718
13317
27317
318916
451416
5174716
done500016

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
1.0b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite475.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
21×add-cube-cbrt
13×add-cbrt-cube
12×add-exp-log log-prod exp-sum
10×pow1 add-log-exp
9×prod-diff
8×associate-*r* associate-*l*
6×distribute-rgt-in distribute-lft-in
5×exp-prod
4×expm1-log1p-u log1p-expm1-u
3×times-frac 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 → 112
Calls
4 calls:
44.0ms
(* (- t 1.0) (log a))
18.0ms
(* y (log z))
154.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
255.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series693.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* (- t 1.0) (log a))
64.0ms
(* y (log z))
211.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
321.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.7s

Counts
124 → 124
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02752031
15801829
216521505
done50011399

prune710.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (exp b) (pow a (- t 1.0)))
1.0b
(/ (pow z y) (/ (exp b) (pow a (- t 1.0))))
1.0b
(/ (pow z y) (/ (exp b) (pow a (- t 1.0))))
1.1b
(/ (* x (* (sqrt (/ (pow z y) (/ (exp b) (pow a (- t 1.0))))) (sqrt (/ (pow z y) (/ (exp b) (pow a (- t 1.0))))))) y)

rewrite820.0ms

Algorithm
rewrite-expression-head
Rules
1747×times-frac
985×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
572×unpow-prod-up
516×unpow-prod-down
468×prod-diff
172×sqr-pow
139×associate-/r*
52×sub-neg
49×add-exp-log
48×div-exp
25×add-cbrt-cube
20×div-inv
19×associate-/r/
18×associate-/l*
17×pow-sub
15×pow-to-exp pow-exp
10×cbrt-undiv
4×pow1 expm1-log1p-u frac-2neg sqrt-div associate-*r/ clear-num log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod associate-/l/
1×frac-times associate-*l/
Counts
4 → 1132
Calls
4 calls:
35.0ms
(/ (exp b) (pow a (- t 1.0)))
36.0ms
(/ (pow z y) (/ (exp b) (pow a (- t 1.0))))
64.0ms
(/ (pow z y) (/ (exp b) (pow a (- t 1.0))))
543.0ms
(/ (* x (* (sqrt (/ (pow z y) (/ (exp b) (pow a (- t 1.0))))) (sqrt (/ (pow z y) (/ (exp b) (pow a (- t 1.0))))))) y)

series1.3s

Counts
4 → 12
Calls
4 calls:
103.0ms
(/ (exp b) (pow a (- t 1.0)))
263.0ms
(/ (pow z y) (/ (exp b) (pow a (- t 1.0))))
215.0ms
(/ (pow z y) (/ (exp b) (pow a (- t 1.0))))
761.0ms
(/ (* x (* (sqrt (/ (pow z y) (/ (exp b) (pow a (- t 1.0))))) (sqrt (/ (pow z y) (/ (exp b) (pow a (- t 1.0))))))) y)

simplify1.5s

Counts
1144 → 1144
Iterations

Useful iterations: done (1.4s)

IterNodesCost
098037165
1192531320
done500028517

prune5.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (exp b) (pow a (- t 1.0)))
0.7b
(* (sqrt (pow z y)) (sqrt (/ (pow z y) (/ (exp b) (pow a (- t 1.0))))))
1.0b
(/ (pow z y) (/ (exp b) (pow a (- t 1.0))))
1.1b
(/ (* x (* (sqrt (pow z y)) (sqrt (/ (pow z y) (/ (exp b) (pow a (- t 1.0))))))) (* y (sqrt (/ (exp b) (pow a (- t 1.0))))))

rewrite911.0ms

Algorithm
rewrite-expression-head
Rules
1775×times-frac
1097×add-sqr-sqrt
943×add-cube-cbrt *-un-lft-identity
549×unpow-prod-down
539×unpow-prod-up
519×sqrt-prod
441×prod-diff
421×associate-*r*
211×sqr-pow
78×associate-/r*
56×unswap-sqr
49×sub-neg
46×add-exp-log
34×add-cbrt-cube
30×div-exp
19×associate-/r/ div-inv
16×pow-sub
11×associate-/l*
10×cbrt-undiv associate-*l* prod-exp cbrt-unprod
8×pow-to-exp pow-exp
6×pow1
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×frac-2neg sqrt-div clear-num
2×pow1/2 pow-prod-down
1×sqrt-unprod *-commutative associate-/l/
Counts
4 → 1130
Calls
4 calls:
32.0ms
(/ (exp b) (pow a (- t 1.0)))
343.0ms
(* (sqrt (pow z y)) (sqrt (/ (pow z y) (/ (exp b) (pow a (- t 1.0))))))
65.0ms
(/ (pow z y) (/ (exp b) (pow a (- t 1.0))))
308.0ms
(/ (* x (* (sqrt (pow z y)) (sqrt (/ (pow z y) (/ (exp b) (pow a (- t 1.0))))))) (* y (sqrt (/ (exp b) (pow a (- t 1.0))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
105.0ms
(/ (exp b) (pow a (- t 1.0)))
353.0ms
(* (sqrt (pow z y)) (sqrt (/ (pow z y) (/ (exp b) (pow a (- t 1.0))))))
263.0ms
(/ (pow z y) (/ (exp b) (pow a (- t 1.0))))
317.0ms
(/ (* x (* (sqrt (pow z y)) (sqrt (/ (pow z y) (/ (exp b) (pow a (- t 1.0))))))) (* y (sqrt (/ (exp b) (pow a (- t 1.0))))))

simplify2.6s

Counts
1142 → 1142
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0185934301
1320129891
done500127728

prune7.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.7b
(* (sqrt (pow z y)) (sqrt (/ (* (pow z y) (pow (* (cbrt a) (cbrt a)) (- t 1.0))) (/ (exp b) (pow (cbrt a) (- t 1.0))))))
0.8b
(/ (* (pow z y) (pow (* (cbrt a) (cbrt a)) (- t 1.0))) (/ (exp b) (pow (cbrt a) (- t 1.0))))
1.1b
(/ (* x (* (sqrt (pow z y)) (sqrt (/ (* (pow z y) (pow (* (cbrt a) (cbrt a)) (- t 1.0))) (/ (exp b) (pow (cbrt a) (- t 1.0))))))) (* y (sqrt (/ (exp b) (pow a (- t 1.0))))))

rewrite566.0ms

Algorithm
rewrite-expression-head
Rules
326×times-frac
171×add-sqr-sqrt
157×add-cube-cbrt *-un-lft-identity
150×add-exp-log
99×unpow-prod-up
97×div-exp
90×sqrt-prod
81×prod-diff
76×associate-*r*
70×prod-exp
69×associate-/r*
59×unpow-prod-down
53×pow-exp
41×pow-to-exp
39×add-cbrt-cube
30×cbrt-prod
12×cbrt-undiv cbrt-unprod sqr-pow
10×associate-*l*
9×sub-neg
8×unswap-sqr
6×pow1 associate-/r/ div-inv
5×associate-*r/
4×expm1-log1p-u log1p-expm1-u pow-sub add-log-exp
3×sqrt-div
2×frac-2neg pow1/2 pow-prod-down clear-num associate-/l/ associate-/l*
1×pow1/3 sqrt-unprod *-commutative
Counts
4 → 359
Calls
4 calls:
3.0ms
(cbrt a)
171.0ms
(* (sqrt (pow z y)) (sqrt (/ (* (pow z y) (pow (* (cbrt a) (cbrt a)) (- t 1.0))) (/ (exp b) (pow (cbrt a) (- t 1.0))))))
89.0ms
(/ (* (pow z y) (pow (* (cbrt a) (cbrt a)) (- t 1.0))) (/ (exp b) (pow (cbrt a) (- t 1.0))))
256.0ms
(/ (* x (* (sqrt (pow z y)) (sqrt (/ (* (pow z y) (pow (* (cbrt a) (cbrt a)) (- t 1.0))) (/ (exp b) (pow (cbrt a) (- t 1.0))))))) (* y (sqrt (/ (exp b) (pow a (- t 1.0))))))

series3.5s

Counts
4 → 12
Calls
4 calls:
274.0ms
(cbrt a)
1.1s
(* (sqrt (pow z y)) (sqrt (/ (* (pow z y) (pow (* (cbrt a) (cbrt a)) (- t 1.0))) (/ (exp b) (pow (cbrt a) (- t 1.0))))))
807.0ms
(/ (* (pow z y) (pow (* (cbrt a) (cbrt a)) (- t 1.0))) (/ (exp b) (pow (cbrt a) (- t 1.0))))
1.4s
(/ (* x (* (sqrt (pow z y)) (sqrt (/ (* (pow z y) (pow (* (cbrt a) (cbrt a)) (- t 1.0))) (/ (exp b) (pow (cbrt a) (- t 1.0))))))) (* y (sqrt (/ (exp b) (pow a (- t 1.0))))))

simplify947.0ms

Counts
371 → 371
Iterations

Useful iterations: done (932.0ms)

IterNodesCost
079112466
1179610593
done50009695

prune2.9s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes754.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.1b and baseline of 1.9b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01718
12118
done2118

end0.0ms

sample12.9s

Algorithm
intervals
Results
6.5s46220×body80nan
1.8s15394×body80valid