Details

Time bar (total: 17.6s)

sample180.0ms

Algorithm
intervals
Results
76.0ms1464×body80nan
31.0ms483×body80valid

simplify724.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (16.0ms)

IterNodesCost
01718
13317
27217
317116
449916
5203316
done500016

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
1.1b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.8b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite134.0ms

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:
11.0ms
(* (- t 1.0) (log a))
4.0ms
(* y (log z))
33.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
82.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series377.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (- t 1.0) (log a))
40.0ms
(* y (log z))
111.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
167.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify726.0ms

Counts
124 → 124
Iterations

Useful iterations: done (722.0ms)

IterNodesCost
02752031
15971829
221801496
done50001488

prune425.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma y (- (log z)) (fma (- (log a)) t b))
0.1b
(fma (- (log a)) t b)
6.2b
(/ (/ x (pow a 1.0)) y)
9.7b
(/ (/ (/ x (pow a 1.0)) y) (exp (fma y (- (log z)) (fma (- (log a)) t b))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
1165×times-frac
506×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
171×unpow-prod-down
104×associate-/l*
82×fma-udef
80×exp-sum
57×sqr-pow
26×div-inv
25×add-exp-log
19×div-exp
18×add-cbrt-cube
9×cbrt-undiv
7×associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×pow-to-exp frac-2neg pow-exp clear-num associate-/l/
Counts
4 → 562
Calls
4 calls:
0.0ms
(fma y (- (log z)) (fma (- (log a)) t b))
0.0ms
(fma (- (log a)) t b)
14.0ms
(/ (/ x (pow a 1.0)) y)
31.0ms
(/ (/ (/ x (pow a 1.0)) y) (exp (fma y (- (log z)) (fma (- (log a)) t b))))

series719.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(fma y (- (log z)) (fma (- (log a)) t b))
85.0ms
(fma (- (log a)) t b)
195.0ms
(/ (/ x (pow a 1.0)) y)
353.0ms
(/ (/ (/ x (pow a 1.0)) y) (exp (fma y (- (log z)) (fma (- (log a)) t b))))

simplify663.0ms

Counts
574 → 574
Iterations

Useful iterations: 1 (240.0ms)

IterNodesCost
0100619159
1231418421
done500018421

prune3.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.2b
(/ (/ (* (cbrt x) (cbrt x)) (* (cbrt (pow a 1.0)) (cbrt (pow a 1.0)))) (* (cbrt y) (cbrt y)))
2.2b
(/ (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt (pow a 1.0)) (cbrt (pow a 1.0)))) (* (cbrt y) (cbrt y))) (* (cbrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))) (cbrt (exp (fma y (- (log z)) (fma (- (log a)) t b))))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
162×add-exp-log
76×cbrt-undiv div-exp
62×add-cbrt-cube
50×prod-exp cbrt-unprod
28×times-frac
14×associate-/l*
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×div-inv
6×cbrt-prod
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg pow1/3 clear-num associate-/r* associate-/l/
Counts
4 → 146
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
18.0ms
(/ (/ (* (cbrt x) (cbrt x)) (* (cbrt (pow a 1.0)) (cbrt (pow a 1.0)))) (* (cbrt y) (cbrt y)))
22.0ms
(/ (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt (pow a 1.0)) (cbrt (pow a 1.0)))) (* (cbrt y) (cbrt y))) (* (cbrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))) (cbrt (exp (fma y (- (log z)) (fma (- (log a)) t b))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
184.0ms
(cbrt x)
228.0ms
(/ (/ (* (cbrt x) (cbrt x)) (* (cbrt (pow a 1.0)) (cbrt (pow a 1.0)))) (* (cbrt y) (cbrt y)))
538.0ms
(/ (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt (pow a 1.0)) (cbrt (pow a 1.0)))) (* (cbrt y) (cbrt y))) (* (cbrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))) (cbrt (exp (fma y (- (log z)) (fma (- (log a)) t b))))))

simplify992.0ms

Counts
158 → 158
Iterations

Useful iterations: done (986.0ms)

IterNodesCost
02986845
18656180
235504315
done50014314

prune920.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma y (- (log z)) (fma (- (log a)) t b))
0.1b
(fma (- (log a)) t b)
5.4b
(/ x (* a y))
9.7b
(/ (/ x (* a y)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×add-cbrt-cube
15×add-exp-log
10×fma-udef associate-/l*
8×exp-sum
7×cbrt-undiv div-exp div-inv
5×associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod
1×associate-/l/
Counts
4 → 101
Calls
4 calls:
0.0ms
(fma y (- (log z)) (fma (- (log a)) t b))
0.0ms
(fma (- (log a)) t b)
3.0ms
(/ x (* a y))
7.0ms
(/ (/ x (* a y)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))

series364.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(fma y (- (log z)) (fma (- (log a)) t b))
82.0ms
(fma (- (log a)) t b)
25.0ms
(/ x (* a y))
178.0ms
(/ (/ x (* a y)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))

simplify785.0ms

Counts
113 → 113
Iterations

Useful iterations: 2 (141.0ms)

IterNodesCost
02112277
14862230
218401922
done50001922

prune427.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes546.0ms

Accuracy

36.2% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03172
13955
done3955

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.2s44542×body80nan
927.0ms15166×body80valid