Details

Time bar (total: 34.1s)

sample448.0ms

Algorithm
intervals
Results
199.0ms1474×body80nan
59.0ms481×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
01718
13317
27317
319616
460016
5325816
done500116

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
0.5b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite429.0ms

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:
25.0ms
(* (- t 1.0) (log a))
9.0ms
(* y (log z))
278.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
112.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series603.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* (- t 1.0) (log a))
76.0ms
(* y (log z))
263.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
174.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.4s

Counts
124 → 124
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02752031
16221832
224541517
done50011433

prune689.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize42.0ms

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)
0.5b
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

rewrite94.0ms

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:
33.0ms
(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
1.0ms
(fma y (- (log z)) (fma (- (log a)) t b))
1.0ms
(fma (- (log a)) t b)
53.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

series1.3s

Counts
4 → 12
Calls
4 calls:
489.0ms
(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
125.0ms
(fma y (- (log z)) (fma (- (log a)) t b))
111.0ms
(fma (- (log a)) t b)
551.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

simplify2.2s

Counts
117 → 117
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02532659
16562570
229812142
done50002049

prune824.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (pow a (- 1.0)))
0.6b
(cbrt (pow a (- 1.0)))
0.6b
(cbrt (pow a (- 1.0)))
4.7b
(* (* x (* (cbrt (pow a (- 1.0))) (cbrt (pow a (- 1.0))))) (/ (cbrt (pow a (- 1.0))) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
49×cbrt-prod
44×associate-*r*
40×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
30×cbrt-div
22×add-exp-log
21×unpow-prod-down associate-*r/
18×add-cbrt-cube
16×frac-times
15×neg-sub0 pow-neg pow-sub
13×pow1
12×associate-*l/ prod-exp cbrt-unprod
10×exp-sum fma-udef
7×sqr-pow
6×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*l* *-commutative div-inv
Counts
4 → 144
Calls
4 calls:
2.0ms
(cbrt (pow a (- 1.0)))
2.0ms
(cbrt (pow a (- 1.0)))
2.0ms
(cbrt (pow a (- 1.0)))
224.0ms
(* (* x (* (cbrt (pow a (- 1.0))) (cbrt (pow a (- 1.0))))) (/ (cbrt (pow a (- 1.0))) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))

series1.8s

Counts
4 → 12
Calls
4 calls:
437.0ms
(cbrt (pow a (- 1.0)))
411.0ms
(cbrt (pow a (- 1.0)))
494.0ms
(cbrt (pow a (- 1.0)))
487.0ms
(* (* x (* (cbrt (pow a (- 1.0))) (cbrt (pow a (- 1.0))))) (/ (cbrt (pow a (- 1.0))) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))

simplify601.0ms

Counts
156 → 156
Iterations

Useful iterations: done (596.0ms)

IterNodesCost
02743908
18173715
done50013071

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (/ (* x (/ (cbrt (pow a (- 1.0))) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) (* (cbrt (pow a 1.0)) (cbrt (pow a 1.0)))) y)
0.6b
(cbrt (pow a (- 1.0)))
0.7b
(cbrt (pow a 1.0))
0.7b
(cbrt (pow a 1.0))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
25×add-cbrt-cube
21×cbrt-prod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×times-frac
15×cbrt-undiv div-exp
9×unpow-prod-down
7×prod-exp cbrt-unprod
5×div-inv associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/r* sqr-pow
2×cbrt-div
1×neg-sub0 pow-neg frac-2neg clear-num associate-/l/ pow-sub
Counts
4 → 103
Calls
4 calls:
81.0ms
(/ (/ (* x (/ (cbrt (pow a (- 1.0))) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) (* (cbrt (pow a 1.0)) (cbrt (pow a 1.0)))) y)
5.0ms
(cbrt (pow a (- 1.0)))
4.0ms
(cbrt (pow a 1.0))
4.0ms
(cbrt (pow a 1.0))

series2.2s

Counts
4 → 12
Calls
4 calls:
636.0ms
(/ (/ (* x (/ (cbrt (pow a (- 1.0))) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) (* (cbrt (pow a 1.0)) (cbrt (pow a 1.0)))) y)
478.0ms
(cbrt (pow a (- 1.0)))
560.0ms
(cbrt (pow a 1.0))
571.0ms
(cbrt (pow a 1.0))

simplify1.9s

Counts
115 → 115
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02523040
16432958
233112508
done50012472

prune944.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes536.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01921
12021
done2021

end0.0ms

sample14.0s

Algorithm
intervals
Results
7.3s45084×body80nan
1.9s15048×body80valid