Details

Time bar (total: 40.2s)

sample340.0ms

Algorithm
intervals
Results
122.0ms1281×body80nan
81.0ms471×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
01718
13317
27317
319616
460016
5325816
done500116

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
0.8b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.1b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite424.0ms

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:
46.0ms
(* (- t 1.0) (log a))
20.0ms
(* y (log z))
225.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
125.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series527.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* (- t 1.0) (log a))
59.0ms
(* y (log z))
216.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
169.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.1s

Counts
124 → 124
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02752031
16221832
224541517
done50011433

prune712.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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 (- (log a)) t b)
0.1b
(fma y (- (log z)) (fma (- (log a)) t b))
0.8b
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

rewrite77.0ms

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:
47.0ms
(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
0.0ms
(fma (- (log a)) t b)
0.0ms
(fma y (- (log z)) (fma (- (log a)) t b))
24.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

series1.1s

Counts
4 → 12
Calls
4 calls:
437.0ms
(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
114.0ms
(fma (- (log a)) t b)
105.0ms
(fma y (- (log z)) (fma (- (log a)) t b))
452.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

simplify1.5s

Counts
117 → 117
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02532659
16552570
229782142
done50022053

prune779.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize27.0ms

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 (- (log a)) t b)
0.1b
(fma y (- (log z)) (fma (- (log a)) t b))
0.8b
(* (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) (/ 1 y))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
68×add-exp-log
45×associate-*r*
40×times-frac prod-exp
38×add-sqr-sqrt
30×add-cbrt-cube
28×add-cube-cbrt *-un-lft-identity
25×div-exp
13×unpow-prod-down
12×cbrt-unprod
11×pow1
9×fma-udef
7×exp-sum
6×cbrt-undiv
5×pow-to-exp rec-exp 1-exp pow-exp sqr-pow
4×expm1-log1p-u associate-*r/ associate-*l* pow-prod-down log1p-expm1-u add-log-exp unswap-sqr
2×*-commutative div-inv
1×frac-times associate-*l/ un-div-inv
Counts
4 → 133
Calls
4 calls:
59.0ms
(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
1.0ms
(fma (- (log a)) t b)
1.0ms
(fma y (- (log z)) (fma (- (log a)) t b))
65.0ms
(* (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) (/ 1 y))

series1.2s

Counts
4 → 12
Calls
4 calls:
438.0ms
(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
126.0ms
(fma (- (log a)) t b)
120.0ms
(fma y (- (log z)) (fma (- (log a)) t b))
502.0ms
(* (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) (/ 1 y))

simplify4.0s

Counts
145 → 145
Iterations

Useful iterations: done (4.0s)

IterNodesCost
02953534
18223350
246022714
done50022713

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize91.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log a) t)
0.3b
(pow (sqrt a) (- 1.0))
0.3b
(pow (sqrt a) (- 1.0))
0.8b
(* (* (* (/ (/ (pow (sqrt a) (- 1.0)) (cbrt (exp (- b (fma (log z) y (* (log a) t)))))) (cbrt (exp (- b (fma (log z) y (* (log a) t)))))) x) (/ (pow (sqrt a) (- 1.0)) (cbrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))))) (/ 1 y))

rewrite4.8s

Algorithm
rewrite-expression-head
Rules
553×add-exp-log
277×prod-exp
234×div-exp
79×add-cbrt-cube
47×cbrt-unprod
42×pow-to-exp pow-exp
29×cbrt-undiv
25×add-sqr-sqrt rec-exp 1-exp
23×add-cube-cbrt *-un-lft-identity
20×pow1 pow-unpow
16×associate-*r*
12×unpow-prod-down
9×times-frac associate-*l/
7×pow-prod-down
6×distribute-lft-neg-in pow-pow distribute-rgt-neg-in sqrt-prod
5×frac-times associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r/
2×neg-sub0 pow-neg neg-mul-1 sqrt-pow1 pow1/2 *-commutative sqrt-pow2 pow-sub sqr-pow
1×log-pow un-div-inv div-inv unswap-sqr
Counts
4 → 242
Calls
4 calls:
14.0ms
(* (log a) t)
7.0ms
(pow (sqrt a) (- 1.0))
9.0ms
(pow (sqrt a) (- 1.0))
4.8s
(* (* (* (/ (/ (pow (sqrt a) (- 1.0)) (cbrt (exp (- b (fma (log z) y (* (log a) t)))))) (cbrt (exp (- b (fma (log z) y (* (log a) t)))))) x) (/ (pow (sqrt a) (- 1.0)) (cbrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))))) (/ 1 y))

series2.8s

Counts
4 → 12
Calls
4 calls:
101.0ms
(* (log a) t)
196.0ms
(pow (sqrt a) (- 1.0))
196.0ms
(pow (sqrt a) (- 1.0))
2.3s
(* (* (* (/ (/ (pow (sqrt a) (- 1.0)) (cbrt (exp (- b (fma (log z) y (* (log a) t)))))) (cbrt (exp (- b (fma (log z) y (* (log a) t)))))) x) (/ (pow (sqrt a) (- 1.0)) (cbrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))))) (/ 1 y))

simplify957.0ms

Counts
254 → 254
Iterations

Useful iterations: done (947.0ms)

IterNodesCost
042011985
1141811411
done50018682

prune1.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes582.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02123
12523
done2523

end0.0ms

sample13.9s

Algorithm
intervals
Results
6.8s44413×body80nan
2.4s14963×body80valid