Details

Time bar (total: 37.7s)

sample434.0ms

Algorithm
intervals
Results
142.0ms1364×body80nan
93.0ms469×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: done (3.5s)

IterNodesCost
01718
15017
248517
done500016

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize43.0ms

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))
1.5b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite471.0ms

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:
28.0ms
(* (- t 1.0) (log a))
18.0ms
(* y (log z))
151.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
270.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series636.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (- t 1.0) (log a))
48.0ms
(* y (log z))
226.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
293.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify3.6s

Counts
124 → 124
Iterations

Useful iterations: done (3.6s)

IterNodesCost
02752031
126931785
done50011517

prune703.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

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))
0.1b
(fma (- (log a)) t b)
1.5b
(/ (* 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:
28.0ms
(* 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)
43.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

series1.3s

Counts
4 → 12
Calls
4 calls:
521.0ms
(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
128.0ms
(fma y (- (log z)) (fma (- (log a)) t b))
102.0ms
(fma (- (log a)) t b)
565.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

simplify444.0ms

Counts
117 → 117
Iterations

Useful iterations: done (439.0ms)

IterNodesCost
02532659
done50012560

prune910.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (/ (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))
0.1b
(fma (- (log a)) t b)
0.4b
(/ x (/ y (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
1231×times-frac
527×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
192×unpow-prod-down
133×associate-/r*
114×fma-udef
112×exp-sum
64×sqr-pow
24×add-exp-log
22×div-inv
19×div-exp
18×add-cbrt-cube
9×cbrt-undiv
6×associate-/r/ associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×pow-to-exp frac-2neg pow-exp clear-num
Counts
4 → 598
Calls
4 calls:
37.0ms
(/ y (/ (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)
44.0ms
(/ x (/ y (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
308.0ms
(/ y (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
146.0ms
(fma y (- (log z)) (fma (- (log a)) t b))
119.0ms
(fma (- (log a)) t b)
535.0ms
(/ x (/ y (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))))

simplify1.1s

Counts
610 → 610
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0107723011
done500121958

prune5.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (- (log a)) t b)
0.1b
(fma (- (log a)) t b)
0.1b
(fma (- (log a)) t b)
0.4b
(/ x (/ (* y (* (cbrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))) (cbrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))))) (/ (pow a (- 1.0)) (cbrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))))))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
582×times-frac
183×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
112×cbrt-prod
84×unpow-prod-down
60×add-exp-log
58×associate-/r*
34×div-exp
31×fma-udef
28×exp-sum sqr-pow
26×add-cbrt-cube
16×cbrt-undiv
12×prod-exp
9×div-inv
6×cbrt-unprod
5×associate-/r/
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-to-exp pow-exp associate-/l*
1×frac-2neg clear-num
Counts
4 → 298
Calls
4 calls:
0.0ms
(fma (- (log a)) t b)
0.0ms
(fma (- (log a)) t b)
0.0ms
(fma (- (log a)) t b)
100.0ms
(/ x (/ (* y (* (cbrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))) (cbrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))))) (/ (pow a (- 1.0)) (cbrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))))))

series916.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(fma (- (log a)) t b)
100.0ms
(fma (- (log a)) t b)
121.0ms
(fma (- (log a)) t b)
570.0ms
(/ x (/ (* y (* (cbrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))) (cbrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))))) (/ (pow a (- 1.0)) (cbrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))))))

simplify722.0ms

Counts
310 → 310
Iterations

Useful iterations: done (686.0ms)

IterNodesCost
069517642
done500117167

prune3.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes267.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02250
12350
done2350

end0.0ms

sample12.5s

Algorithm
intervals
Results
5.9s45591×body80nan
2.3s15131×body80valid