Details

Time bar (total: 36.3s)

sample439.0ms

Algorithm
intervals
Results
166.0ms1417×body80nan
93.0ms479×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
01718
13317
27317
319616
460016
5325816
done500116

prune29.0ms

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))
0.2b
(* y (log z))
1.0b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite425.0ms

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:
29.0ms
(* (- t 1.0) (log a))
9.0ms
(* y (log z))
95.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
285.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series616.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (- t 1.0) (log a))
58.0ms
(* y (log z))
214.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
269.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.6s

Counts
124 → 124
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02752031
16221832
224241517
done50011431

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
0.1b
(fma y (- (log z)) (fma (- (log a)) t b))
0.2b
(fma (- (log a)) t b)
1.2b
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
34×times-frac
33×add-sqr-sqrt
32×associate-*r*
24×add-exp-log
23×add-cube-cbrt *-un-lft-identity
18×add-cbrt-cube
13×unpow-prod-down
11×div-exp
9×fma-udef
8×prod-exp
7×exp-sum
6×pow1
5×cbrt-undiv sqr-pow
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
3×associate-*l* associate-/r*
2×pow-to-exp associate-*r/ pow-exp div-inv
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
4 → 105
Calls
4 calls:
36.0ms
(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
0.0ms
(fma y (- (log z)) (fma (- (log a)) t b))
0.0ms
(fma (- (log a)) t b)
48.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

series1.3s

Counts
4 → 12
Calls
4 calls:
504.0ms
(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
123.0ms
(fma y (- (log z)) (fma (- (log a)) t b))
126.0ms
(fma (- (log a)) t b)
553.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

simplify1.7s

Counts
117 → 117
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02532659
16562570
229812142
done50002049

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (/ (pow a (- 1.0)) (exp (- b (fma (log z) y (* (log a) t))))))
0.1b
(fma (log z) y (* (log a) t))
0.3b
(* (log a) t)
1.2b
(/ (* x (/ (pow a (- 1.0)) (exp (- b (fma (log z) y (* (log a) t)))))) y)

rewrite268.0ms

Algorithm
rewrite-expression-head
Rules
106×associate-*r*
104×times-frac
99×add-sqr-sqrt
87×add-cube-cbrt *-un-lft-identity
77×exp-sum
63×prod-diff
43×unpow-prod-down
26×add-exp-log
20×add-cbrt-cube
15×sqr-pow
11×div-exp
9×pow1 prod-exp
7×sub-neg associate-*l*
5×cbrt-undiv cbrt-unprod unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r*
2×pow-to-exp associate-*r/ pow-prod-down pow-exp *-commutative div-inv
1×frac-2neg exp-diff clear-num associate-/r/ log-pow fma-udef associate-/l/ associate-/l*
Counts
4 → 187
Calls
4 calls:
146.0ms
(* x (/ (pow a (- 1.0)) (exp (- b (fma (log z) y (* (log a) t))))))
0.0ms
(fma (log z) y (* (log a) t))
11.0ms
(* (log a) t)
99.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (- b (fma (log z) y (* (log a) t)))))) y)

series1.3s

Counts
4 → 12
Calls
4 calls:
512.0ms
(* x (/ (pow a (- 1.0)) (exp (- b (fma (log z) y (* (log a) t))))))
191.0ms
(fma (log z) y (* (log a) t))
85.0ms
(* (log a) t)
512.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (- b (fma (log z) y (* (log a) t)))))) y)

simplify2.5s

Counts
199 → 199
Iterations

Useful iterations: 2 (1.0s)

IterNodesCost
04284838
111214054
248993526
done50003526

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (log z) y (* (log a) t))
0.3b
(* (log a) t)
0.3b
(* (log a) t)
1.2b
(/ (* (/ x (sqrt (exp (- b (fma (log z) y (* (log a) t)))))) (/ (pow a (- 1.0)) (sqrt (exp (- b (fma (log z) y (* (log a) t))))))) y)

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log
26×add-cbrt-cube
19×div-exp
14×add-sqr-sqrt
10×pow1 add-cube-cbrt *-un-lft-identity prod-exp
9×cbrt-undiv
8×associate-*l*
6×associate-*r* cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac associate-/r* associate-/l/
2×pow-to-exp pow-prod-down pow-exp log-pow *-commutative unswap-sqr
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num fma-udef div-inv associate-/l*
Counts
4 → 88
Calls
4 calls:
0.0ms
(fma (log z) y (* (log a) t))
9.0ms
(* (log a) t)
14.0ms
(* (log a) t)
199.0ms
(/ (* (/ x (sqrt (exp (- b (fma (log z) y (* (log a) t)))))) (/ (pow a (- 1.0)) (sqrt (exp (- b (fma (log z) y (* (log a) t))))))) y)

series922.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(fma (log z) y (* (log a) t))
85.0ms
(* (log a) t)
79.0ms
(* (log a) t)
544.0ms
(/ (* (/ x (sqrt (exp (- b (fma (log z) y (* (log a) t)))))) (/ (pow a (- 1.0)) (sqrt (exp (- b (fma (log z) y (* (log a) t))))))) y)

simplify1.4s

Counts
100 → 100
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01882213
15092087
224721683
done50001598

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes751.0ms

Accuracy

49.1% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.1b

bsearch721.0ms

Steps
ItersRangePoint
9
6.73593830704841e-111
9.827997114108257e-106
5.641336274268798e-108
9
-2.1462778814721173e-100
-9.113789089162317e-108
-3.876993962312929e-107

simplify10.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03691
14391
done4391

end0.0ms

sample14.1s

Algorithm
intervals
Results
6.5s45533×body80nan
2.8s15171×body80valid