Details

Time bar (total: 15.9s)

sample176.0ms

Algorithm
intervals
Results
71.0ms1413×body80nan
29.0ms474×body80valid

simplify716.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (15.0ms)

IterNodesCost
01718
13218
26418
315716
446916
5187516
done500116

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
1.4b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.4b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite126.0ms

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:
12.0ms
(* (- t 1.0) (log a))
4.0ms
(* y (log z))
30.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
77.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series387.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (- t 1.0) (log a))
39.0ms
(* y (log z))
120.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
168.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify515.0ms

Counts
107 → 107
Iterations

Useful iterations: done (512.0ms)

IterNodesCost
02311531
14941495
214511213
done50011184

prune384.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow a (- t 1.0))
0.3b
(* (* (pow a (- t 1.0)) (pow z y)) (exp (- b)))
0.7b
(* (pow a (- t 1.0)) (pow z y))
1.4b
(/ (* x (* (* (pow a (- t 1.0)) (pow z y)) (exp (- b)))) y)

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
68×add-exp-log
58×prod-exp
27×add-sqr-sqrt
25×add-cbrt-cube
19×pow-to-exp pow-exp
15×unpow-prod-down *-un-lft-identity
13×add-cube-cbrt
12×div-exp
10×associate-*r/ associate-*r* associate-*l* cbrt-unprod
9×associate-*l/ unswap-sqr sqr-pow
8×pow-sub
7×pow1
6×exp-neg associate-/l/
5×pow-unpow
4×cbrt-undiv unpow-prod-up neg-sub0 frac-times exp-diff add-log-exp
3×times-frac associate-/r*
2×sub-neg un-div-inv *-commutative
1×pow-pow frac-2neg pow-prod-down clear-num div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 136
Calls
4 calls:
3.0ms
(pow a (- t 1.0))
21.0ms
(* (* (pow a (- t 1.0)) (pow z y)) (exp (- b)))
10.0ms
(* (pow a (- t 1.0)) (pow z y))
58.0ms
(/ (* x (* (* (pow a (- t 1.0)) (pow z y)) (exp (- b)))) y)

series616.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(pow a (- t 1.0))
183.0ms
(* (* (pow a (- t 1.0)) (pow z y)) (exp (- b)))
127.0ms
(* (pow a (- t 1.0)) (pow z y))
242.0ms
(/ (* x (* (* (pow a (- t 1.0)) (pow z y)) (exp (- b)))) y)

simplify819.0ms

Counts
148 → 148
Iterations

Useful iterations: done (815.0ms)

IterNodesCost
02512437
16602244
225311929
done50011919

prune474.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (* (* (* (pow a t) (pow a (- 1.0))) (pow z y)) (exp (- b))))
0.3b
(* (* (* (pow a t) (pow a (- 1.0))) (pow z y)) (exp (- b)))
0.7b
(* (* (pow a t) (pow a (- 1.0))) (pow z y))
1.4b
(/ (* x (* (* (* (pow a t) (pow a (- 1.0))) (pow z y)) (exp (- b)))) y)

rewrite365.0ms

Algorithm
rewrite-expression-head
Rules
385×prod-exp
343×add-exp-log
112×pow-to-exp pow-exp
52×add-cbrt-cube
50×associate-*r/
39×associate-*l/
33×div-exp
29×cbrt-unprod
22×neg-sub0
20×pow-neg
18×frac-times
15×exp-neg
13×un-div-inv
12×exp-diff associate-/l/
11×pow1 associate-*r*
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-sub
5×cbrt-undiv associate-*l*
4×pow-prod-down add-log-exp
3×unpow-prod-down times-frac associate-/r* *-commutative
1×frac-2neg clear-num div-inv associate-/l* sqr-pow
Counts
4 → 239
Calls
4 calls:
141.0ms
(* x (* (* (* (pow a t) (pow a (- 1.0))) (pow z y)) (exp (- b))))
52.0ms
(* (* (* (pow a t) (pow a (- 1.0))) (pow z y)) (exp (- b)))
14.0ms
(* (* (pow a t) (pow a (- 1.0))) (pow z y))
142.0ms
(/ (* x (* (* (* (pow a t) (pow a (- 1.0))) (pow z y)) (exp (- b)))) y)

series1.2s

Counts
4 → 12
Calls
4 calls:
318.0ms
(* x (* (* (* (pow a t) (pow a (- 1.0))) (pow z y)) (exp (- b))))
259.0ms
(* (* (* (pow a t) (pow a (- 1.0))) (pow z y)) (exp (- b)))
192.0ms
(* (* (pow a t) (pow a (- 1.0))) (pow z y))
417.0ms
(/ (* x (* (* (* (pow a t) (pow a (- 1.0))) (pow z y)) (exp (- b)))) y)

simplify1.0s

Counts
251 → 251
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02865224
18554500
231443785
done50013778

prune439.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (* (pow z y) (pow a t)))
0.3b
(/ (* x (* (pow z y) (pow a t))) (* (pow a 1.0) (exp b)))
0.7b
(* (pow z y) (pow a t))
1.4b
(/ (/ (* x (* (pow z y) (pow a t))) (* (pow a 1.0) (exp b))) y)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
343×add-exp-log
246×prod-exp
133×div-exp
82×pow-to-exp pow-exp
61×add-cbrt-cube
31×add-sqr-sqrt
22×cbrt-unprod
20×times-frac
19×cbrt-undiv add-cube-cbrt *-un-lft-identity
12×unpow-prod-down
10×associate-*l*
9×unswap-sqr
8×associate-*r* sqr-pow
6×pow1 div-inv associate-/l*
4×associate-/r* add-log-exp
2×frac-2neg clear-num *-commutative
1×pow-prod-down associate-/l/
Counts
4 → 215
Calls
4 calls:
9.0ms
(* x (* (pow z y) (pow a t)))
14.0ms
(/ (* x (* (pow z y) (pow a t))) (* (pow a 1.0) (exp b)))
8.0ms
(* (pow z y) (pow a t))
16.0ms
(/ (/ (* x (* (pow z y) (pow a t))) (* (pow a 1.0) (exp b))) y)

series937.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(* x (* (pow z y) (pow a t)))
360.0ms
(/ (* x (* (pow z y) (pow a t))) (* (pow a 1.0) (exp b)))
98.0ms
(* (pow z y) (pow a t))
359.0ms
(/ (/ (* x (* (pow z y) (pow a t))) (* (pow a 1.0) (exp b))) y)

simplify1.2s

Counts
227 → 227
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02864748
18144379
235693785
done50013781

prune430.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes498.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01718
12118
done2118

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.3s45221×body80nan
914.0ms15222×body80valid