Details

Time bar (total: 45.3s)

sample371.0ms

Algorithm
intervals
Results
169.0ms1465×body80nan
48.0ms473×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
01718
13317
27317
318916
451416
5174716
done500016

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize47.0ms

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))

rewrite562.0ms

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:
47.0ms
(* (- t 1.0) (log a))
13.0ms
(* y (log z))
324.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
168.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series570.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* (- t 1.0) (log a))
44.0ms
(* y (log z))
292.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
151.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.6s

Counts
124 → 124
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02752031
15801829
216571505
done50001399

prune591.0ms

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))

rewrite1.2s

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:
36.0ms
(* (- t 1.0) (log a))
9.0ms
(* y (log z))
1.0s
(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))
101.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series614.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* (- t 1.0) (log a))
57.0ms
(* y (log z))
295.0ms
(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))
172.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.8s

Counts
142 → 142
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03112548
16962222
219791794
done50011688

prune665.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

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))

rewrite2.7s

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:
512.0ms
(* x (* (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)) (exp (+ b (- b)))))
9.0ms
(pow a (- t 1.0))
82.0ms
(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))
2.1s
(* (* x (* (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)) (exp (+ b (- b))))) (/ 1 y))

series980.0ms

Counts
4 → 12
Calls
4 calls:
295.0ms
(* x (* (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)) (exp (+ b (- b)))))
93.0ms
(pow a (- t 1.0))
240.0ms
(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))
352.0ms
(* (* x (* (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)) (exp (+ b (- b))))) (/ 1 y))

simplify2.7s

Counts
301 → 301
Iterations

Useful iterations: done (2.7s)

IterNodesCost
04557024
112276209
236534630
done50004576

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize25.0ms

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))

rewrite4.3s

Algorithm
rewrite-expression-head
Rules
769×add-exp-log
687×prod-exp
423×div-exp
421×times-frac
281×add-sqr-sqrt
206×unpow-prod-down
187×add-cube-cbrt *-un-lft-identity
180×pow-to-exp pow-exp
167×associate-*l*
95×add-cbrt-cube
88×sqr-pow
51×cbrt-unprod
36×rec-exp 1-exp
33×unswap-sqr
31×associate-*r/
23×associate-*l/
21×associate-*r*
19×cbrt-undiv
18×pow1 exp-diff
16×frac-times
9×pow-prod-down
7×associate-/r* associate-/l*
6×neg-sub0 associate-+r- unsub-neg div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
1×frac-2neg clear-num un-div-inv pow-div
Counts
4 → 598
Calls
4 calls:
18.0ms
(/ (pow a t) (pow a 1.0))
827.0ms
(* x (* (* (/ (/ (pow a t) (pow a 1.0)) (exp b)) (pow z y)) (exp (+ b (- b)))))
147.0ms
(* (/ (/ (pow a t) (pow a 1.0)) (exp b)) (pow z y))
3.2s
(* (* x (* (* (/ (/ (pow a t) (pow a 1.0)) (exp b)) (pow z y)) (exp (+ b (- b))))) (/ 1 y))

series2.0s

Counts
4 → 12
Calls
4 calls:
325.0ms
(/ (pow a t) (pow a 1.0))
587.0ms
(* x (* (* (/ (/ (pow a t) (pow a 1.0)) (exp b)) (pow z y)) (exp (+ b (- b)))))
507.0ms
(* (/ (/ (pow a t) (pow a 1.0)) (exp b)) (pow z y))
622.0ms
(* (* x (* (* (/ (/ (pow a t) (pow a 1.0)) (exp b)) (pow z y)) (exp (+ b (- b))))) (/ 1 y))

simplify1.3s

Counts
610 → 610
Iterations

Useful iterations: done (1.3s)

IterNodesCost
076414459
1203412973
done500010684

prune3.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes792.0ms

Accuracy

73.8% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.1b

bsearch610.0ms

Steps
ItersRangePoint
5
1.8160615684089457e+24
6.425963073192148e+24
3.0775084555947397e+24
10
-1.5286153786457643e+101
-3.497588858952651e+82
-7.350566990880655e+82

simplify53.0ms

Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
03975
15854
26552
37852
49152
59752
done9752

end0.0ms

sample14.0s

Algorithm
intervals
Results
6.8s46043×body80nan
2.1s15319×body80valid