Details

Time bar (total: 38.5s)

sample357.0ms

Algorithm
intervals
Results
180.0ms1465×body80nan
65.0ms473×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
01718
13317
27317
318916
451416
5174716
done500016

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
0.7b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.7b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite370.0ms

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:
25.0ms
(* (- t 1.0) (log a))
9.0ms
(* y (log z))
218.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
112.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series593.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (- t 1.0) (log a))
51.0ms
(* y (log z))
283.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
176.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.4s

Counts
124 → 124
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02752031
15801829
216571505
done50001399

prune623.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
0.7b
(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))
0.7b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
30×*-un-lft-identity
26×add-exp-log add-cube-cbrt
21×associate-*r*
20×add-cbrt-cube
15×pow1
14×prod-exp
12×log-prod exp-sum
10×add-log-exp
9×times-frac associate-*l* prod-diff
8×cbrt-unprod
6×distribute-rgt-in distribute-lft-in
5×exp-prod pow-prod-down
4×expm1-log1p-u div-exp log1p-expm1-u
3×exp-diff associate-*r/ associate-*l/ *-commutative rem-exp-log
2×cbrt-undiv rec-exp diff-log 1-exp log-pow distribute-lft-out-- difference-of-squares unswap-sqr
1×frac-times sub-neg flip3-- associate--l+ sum-log un-div-inv flip-- div-inv
Counts
4 → 130
Calls
4 calls:
44.0ms
(* (- t 1.0) (log a))
16.0ms
(* y (log z))
916.0ms
(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))
117.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series525.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (- t 1.0) (log a))
46.0ms
(* y (log z))
226.0ms
(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))
180.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.6s

Counts
142 → 142
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03112548
16962222
219791794
done50011688

prune505.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (* (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)) (exp (+ b (- b)))))
0.2b
(pow a (- t 1.0))
0.3b
(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))
0.7b
(* (* x (* (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)) (exp (+ b (- b))))) (/ 1 y))

rewrite2.9s

Algorithm
rewrite-expression-head
Rules
267×prod-exp
266×add-exp-log
93×add-sqr-sqrt
84×div-exp
72×times-frac
68×add-cbrt-cube
67×*-un-lft-identity
65×add-cube-cbrt
62×associate-*l*
44×unpow-prod-up
43×pow-to-exp pow-exp
39×cbrt-unprod
36×prod-diff
31×associate-*r/
23×associate-*l/
22×unpow-prod-down
21×associate-*r*
19×pow1
18×exp-diff
16×frac-times
15×rec-exp 1-exp
12×unswap-sqr sqr-pow
9×cbrt-undiv pow-prod-down
6×neg-sub0 associate-+r- unsub-neg
5×pow-unpow
4×expm1-log1p-u sub-neg log1p-expm1-u add-log-exp
3×*-commutative
2×div-inv
1×pow-pow un-div-inv distribute-lft-out-- pow-sub difference-of-squares
Counts
4 → 289
Calls
4 calls:
537.0ms
(* x (* (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)) (exp (+ b (- b)))))
8.0ms
(pow a (- t 1.0))
83.0ms
(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))
2.3s
(* (* x (* (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)) (exp (+ b (- b))))) (/ 1 y))

series924.0ms

Counts
4 → 12
Calls
4 calls:
331.0ms
(* x (* (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)) (exp (+ b (- b)))))
89.0ms
(pow a (- t 1.0))
209.0ms
(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))
295.0ms
(* (* x (* (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)) (exp (+ b (- b))))) (/ 1 y))

simplify2.1s

Counts
301 → 301
Iterations

Useful iterations: done (2.1s)

IterNodesCost
04557024
112276209
236534630
done50004576

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (pow a t) (pow a (- 1.0)))
0.1b
(* x (* (* (/ (* (pow a t) (pow a (- 1.0))) (exp b)) (pow z y)) (exp (+ b (- b)))))
0.3b
(* (/ (* (pow a t) (pow a (- 1.0))) (exp b)) (pow z y))
0.7b
(* (* x (* (* (/ (* (pow a t) (pow a (- 1.0))) (exp b)) (pow z y)) (exp (+ b (- b))))) (/ 1 y))

rewrite3.3s

Algorithm
rewrite-expression-head
Rules
858×prod-exp
769×add-exp-log
252×div-exp
180×pow-to-exp pow-exp
95×add-cbrt-cube
56×cbrt-unprod
37×add-sqr-sqrt
36×rec-exp 1-exp
33×associate-*r/
28×associate-*r*
23×associate-*l/
20×add-cube-cbrt *-un-lft-identity
18×pow1 exp-diff associate-*l*
16×frac-times unpow-prod-down
14×cbrt-undiv
12×times-frac unswap-sqr
10×sqr-pow
9×pow-prod-down
7×neg-sub0
6×associate-+r- unsub-neg
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×pow-neg un-div-inv div-inv
1×pow-prod-up pow-sub
Counts
4 → 373
Calls
4 calls:
18.0ms
(* (pow a t) (pow a (- 1.0)))
672.0ms
(* x (* (* (/ (* (pow a t) (pow a (- 1.0))) (exp b)) (pow z y)) (exp (+ b (- b)))))
55.0ms
(* (/ (* (pow a t) (pow a (- 1.0))) (exp b)) (pow z y))
2.6s
(* (* x (* (* (/ (* (pow a t) (pow a (- 1.0))) (exp b)) (pow z y)) (exp (+ b (- b))))) (/ 1 y))

series1.5s

Counts
4 → 12
Calls
4 calls:
179.0ms
(* (pow a t) (pow a (- 1.0)))
466.0ms
(* x (* (* (/ (* (pow a t) (pow a (- 1.0))) (exp b)) (pow z y)) (exp (+ b (- b)))))
333.0ms
(* (/ (* (pow a t) (pow a (- 1.0))) (exp b)) (pow z y))
566.0ms
(* (* x (* (* (/ (* (pow a t) (pow a (- 1.0))) (exp b)) (pow z y)) (exp (+ b (- b))))) (/ 1 y))

simplify2.3s

Counts
385 → 385
Iterations

Useful iterations: done (2.3s)

IterNodesCost
044610441
112448758
239406411
done50006255

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes466.0ms

Accuracy

0% (2.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01920
12620
done2620

end0.0ms

sample13.0s

Algorithm
intervals
Results
7.1s46043×body80nan
2.6s15319×body80valid