Details

Time bar (total: 31.6s)

sample340.0ms

Algorithm
intervals
Results
149.0ms1417×body80nan
44.0ms479×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
01718
13317
27317
319616
460016
5325816
done500116

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize45.0ms

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)

rewrite350.0ms

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:
23.0ms
(* (- t 1.0) (log a))
9.0ms
(* y (log z))
88.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
227.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series496.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (- t 1.0) (log a))
48.0ms
(* y (log z))
142.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
237.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.2s

Counts
124 → 124
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02752031
16221832
224241517
done50011431

prune775.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

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)

rewrite72.0ms

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:
42.0ms
(* 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)
26.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

series1.0s

Counts
4 → 12
Calls
4 calls:
414.0ms
(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
119.0ms
(fma y (- (log z)) (fma (- (log a)) t b))
118.0ms
(fma (- (log a)) t b)
374.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

simplify1.4s

Counts
117 → 117
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02532659
16562570
229812142
done50002049

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

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:
27.0ms
(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- t) (log a) b)))))
0.0ms
(fma y (- (log z)) (fma (- t) (log a) b))
0.0ms
(fma (- t) (log a) b)
26.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- t) (log a) b))))) y)

series978.0ms

Counts
4 → 12
Calls
4 calls:
402.0ms
(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- t) (log a) b)))))
91.0ms
(fma y (- (log z)) (fma (- t) (log a) b))
71.0ms
(fma (- t) (log a) b)
414.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- t) (log a) b))))) y)

simplify1.5s

Counts
117 → 117
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02532659
16552570
227492138
done50012122

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (log z) y (* (log a) t))
0.2b
(fma (- t) (log a) b)
0.3b
(* (log a) t)
1.2b
(/ (* (/ x (sqrt (exp (- b (fma (log z) y (* (log a) t)))))) (/ (pow a (- 1.0)) (sqrt (exp (fma y (- (log z)) (fma (- t) (log a) b)))))) y)

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
24×add-cbrt-cube
19×div-exp
10×add-sqr-sqrt
9×cbrt-undiv prod-exp
8×add-cube-cbrt *-un-lft-identity
7×pow1
5×cbrt-unprod
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
3×times-frac associate-*r* associate-/r* associate-/l/
2×pow-to-exp pow-exp fma-udef
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num log-pow *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 77
Calls
4 calls:
0.0ms
(fma (log z) y (* (log a) t))
0.0ms
(fma (- t) (log a) b)
12.0ms
(* (log a) t)
121.0ms
(/ (* (/ x (sqrt (exp (- b (fma (log z) y (* (log a) t)))))) (/ (pow a (- 1.0)) (sqrt (exp (fma y (- (log z)) (fma (- t) (log a) b)))))) y)

series1.1s

Counts
4 → 12
Calls
4 calls:
193.0ms
(fma (log z) y (* (log a) t))
88.0ms
(fma (- t) (log a) b)
98.0ms
(* (log a) t)
715.0ms
(/ (* (/ x (sqrt (exp (- b (fma (log z) y (* (log a) t)))))) (/ (pow a (- 1.0)) (sqrt (exp (fma y (- (log z)) (fma (- t) (log a) b)))))) y)

simplify1.2s

Counts
89 → 89
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02122224
15502114
226061693
done50001569

prune765.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes727.0ms

Accuracy

49.5% (0.5b remaining)

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

bsearch798.0ms

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
04393
15093
done5093

end0.0ms

sample14.7s

Algorithm
intervals
Results
6.8s45533×body80nan
2.8s15171×body80valid