Details

Time bar (total: 29.5s)

sample363.0ms

Algorithm
intervals
Results
128.0ms1416×body80nan
84.0ms487×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (393.0ms)

IterNodesCost
01718
13317
27317
319616
460016
5325816
done500116

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
1.0b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.0b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite502.0ms

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:
50.0ms
(* (- t 1.0) (log a))
18.0ms
(* y (log z))
302.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
129.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series613.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* (- t 1.0) (log a))
56.0ms
(* y (log z))
274.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
191.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.2s

Counts
124 → 124
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02752031
16221832
224541517
done50011433

prune644.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 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)
1.0b
(/ (* 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:
30.0ms
(* 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))
1.0ms
(fma (- (log a)) t b)
33.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

series1.2s

Counts
4 → 12
Calls
4 calls:
520.0ms
(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
138.0ms
(fma y (- (log z)) (fma (- (log a)) t b))
87.0ms
(fma (- (log a)) t b)
497.0ms
(/ (* 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

prune799.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (- (log a)) t b)
0.2b
(* x (sqrt (pow a (- 1.0))))
1.0b
(/ (* (* x (sqrt (pow a (- 1.0)))) (/ (sqrt (pow a (- 1.0))) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)
3.3b
(* (* x (sqrt (pow a (- 1.0)))) (/ (sqrt (pow a (- 1.0))) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
54×associate-*r*
43×times-frac
40×add-sqr-sqrt
38×sqrt-prod
36×add-cbrt-cube
33×add-cube-cbrt *-un-lft-identity
32×add-exp-log
16×unpow-prod-down
13×prod-exp cbrt-unprod
12×associate-*r/
11×pow1 fma-udef
10×sqrt-div exp-sum
9×cbrt-undiv div-exp
6×sqr-pow
5×neg-sub0 pow-neg associate-/l/ pow-sub
4×expm1-log1p-u frac-times associate-*l* pow-prod-down associate-*l/ log1p-expm1-u add-log-exp unswap-sqr
3×associate-/r*
2×*-commutative div-inv
1×frac-2neg clear-num associate-/l*
Counts
4 → 146
Calls
4 calls:
0.0ms
(fma (- (log a)) t b)
31.0ms
(* x (sqrt (pow a (- 1.0))))
80.0ms
(/ (* (* x (sqrt (pow a (- 1.0)))) (/ (sqrt (pow a (- 1.0))) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)
71.0ms
(* (* x (sqrt (pow a (- 1.0)))) (/ (sqrt (pow a (- 1.0))) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
118.0ms
(fma (- (log a)) t b)
161.0ms
(* x (sqrt (pow a (- 1.0))))
516.0ms
(/ (* (* x (sqrt (pow a (- 1.0)))) (/ (sqrt (pow a (- 1.0))) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)
492.0ms
(* (* x (sqrt (pow a (- 1.0)))) (/ (sqrt (pow a (- 1.0))) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))

simplify560.0ms

Counts
158 → 158
Iterations

Useful iterations: done (555.0ms)

IterNodesCost
03074082
18723496
done50013002

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (exp (fma y (- (log z)) (fma (- (log a)) t b))) y)
0.1b
(fma y (- (log z)) (fma (- (log a)) t b))
0.2b
(fma (- (log a)) t b)
1.3b
(* (/ x (* (exp (fma y (- (log z)) (fma (- (log a)) t b))) y)) (pow (/ 1 (pow a 1.0)) 1.0))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
98×add-exp-log
49×prod-exp
43×add-sqr-sqrt unpow-prod-down
42×div-exp
39×pow-exp
32×associate-*r*
30×times-frac
26×*-un-lft-identity
23×add-cube-cbrt
15×add-cbrt-cube
12×pow-to-exp
11×associate-*l*
10×unswap-sqr
9×rec-exp 1-exp
7×sqr-pow
6×pow1
5×cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×fma-udef
2×cbrt-undiv *-commutative div-inv
1×exp-sum pow-prod-down associate-*l/
Counts
4 → 136
Calls
4 calls:
26.0ms
(* (exp (fma y (- (log z)) (fma (- (log a)) t b))) y)
1.0ms
(fma y (- (log z)) (fma (- (log a)) t b))
1.0ms
(fma (- (log a)) t b)
94.0ms
(* (/ x (* (exp (fma y (- (log z)) (fma (- (log a)) t b))) y)) (pow (/ 1 (pow a 1.0)) 1.0))

series905.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(* (exp (fma y (- (log z)) (fma (- (log a)) t b))) y)
104.0ms
(fma y (- (log z)) (fma (- (log a)) t b))
124.0ms
(fma (- (log a)) t b)
511.0ms
(* (/ x (* (exp (fma y (- (log z)) (fma (- (log a)) t b))) y)) (pow (/ 1 (pow a 1.0)) 1.0))

simplify2.3s

Counts
148 → 148
Iterations

Useful iterations: done (2.3s)

IterNodesCost
03063735
17603528
237763093
done50003054

prune722.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes376.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01921
12021
done2021

end0.0ms

sample12.3s

Algorithm
intervals
Results
5.9s45437×body80nan
2.3s15323×body80valid