Details

Time bar (total: 31.0s)

sample387.0ms

Algorithm
intervals
Results
151.0ms1395×body80nan
52.0ms479×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
01718
13317
27317
319616
460016
5325816
done500116

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize39.0ms

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)

rewrite472.0ms

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:
34.0ms
(* (- t 1.0) (log a))
13.0ms
(* y (log z))
122.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
299.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series628.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (- t 1.0) (log a))
47.0ms
(* y (log z))
201.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
286.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.6s

Counts
124 → 124
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02752031
16221832
224241517
done50011431

prune654.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

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)
1.8b
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

rewrite78.0ms

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:
41.0ms
(* 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)
29.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

series1.2s

Counts
4 → 12
Calls
4 calls:
486.0ms
(* 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))
153.0ms
(fma (- (log a)) t b)
428.0ms
(/ (* 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
16562570
229812142
done50002049

prune786.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize25.0ms

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)
1.8b
(/ (* 1 (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))) y)

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log
34×times-frac
33×add-sqr-sqrt
32×associate-*r*
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
22×prod-exp
20×div-exp
13×unpow-prod-down
9×fma-udef
7×exp-sum cbrt-unprod
6×pow1 cbrt-undiv
5×1-exp sqr-pow
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-to-exp associate-*r/ associate-*l* pow-exp associate-/r*
2×div-inv
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
4 → 112
Calls
4 calls:
45.0ms
(* 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)
55.0ms
(/ (* 1 (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))) y)

series1.2s

Counts
4 → 12
Calls
4 calls:
428.0ms
(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
105.0ms
(fma y (- (log z)) (fma (- (log a)) t b))
99.0ms
(fma (- (log a)) t b)
524.0ms
(/ (* 1 (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))) y)

simplify3.1s

Counts
124 → 124
Iterations

Useful iterations: done (3.1s)

IterNodesCost
02772956
17452782
241072296
done50002242

prune814.0ms

Pruning

4 alts after pruning (4 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 y (- (log z)) (fma (- (log a)) t b))
0.1b
(fma (- (log a)) t b)
1.8b
(* (* 1 (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))) (/ 1 y))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
154×add-exp-log
120×prod-exp
49×div-exp
45×associate-*r*
41×add-cbrt-cube
40×times-frac
38×add-sqr-sqrt
31×1-exp
28×add-cube-cbrt *-un-lft-identity
20×cbrt-unprod
15×pow1
13×unpow-prod-down
11×rec-exp
9×pow-to-exp pow-exp fma-udef
7×cbrt-undiv exp-sum pow-prod-down
6×associate-*r/
5×sqr-pow
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp unswap-sqr
2×*-commutative div-inv
1×frac-times associate-*l/ un-div-inv
Counts
4 → 160
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))
0.0ms
(fma (- (log a)) t b)
183.0ms
(* (* 1 (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))) (/ 1 y))

series1.3s

Counts
4 → 12
Calls
4 calls:
491.0ms
(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
152.0ms
(fma y (- (log z)) (fma (- (log a)) t b))
132.0ms
(fma (- (log a)) t b)
508.0ms
(* (* 1 (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))) (/ 1 y))

simplify676.0ms

Counts
172 → 172
Iterations

Useful iterations: done (666.0ms)

IterNodesCost
03334523
110084083
done50013441

prune917.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes311.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02124
12524
done2524

end0.0ms

sample13.0s

Algorithm
intervals
Results
6.4s44556×body80nan
2.2s15105×body80valid