Details

Time bar (total: 29.3s)

sample340.0ms

Algorithm
intervals
Results
155.0ms1474×body80nan
45.0ms481×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
01718
13317
27317
319616
460016
5325816
done500116

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

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))

rewrite441.0ms

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:
35.0ms
(* (- t 1.0) (log a))
13.0ms
(* y (log z))
274.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
114.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series453.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (- t 1.0) (log a))
43.0ms
(* y (log z))
200.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
142.0ms
(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

prune590.0ms

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)

rewrite73.0ms

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:
38.0ms
(* 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)
28.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

series1.1s

Counts
4 → 12
Calls
4 calls:
420.0ms
(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
99.0ms
(fma y (- (log z)) (fma (- (log a)) t b))
86.0ms
(fma (- (log a)) t b)
464.0ms
(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

simplify1.3s

Counts
117 → 117
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02532659
16562570
229812142
done50002049

prune653.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize46.0ms

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)))))

rewrite215.0ms

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:
3.0ms
(cbrt (pow a (- 1.0)))
3.0ms
(cbrt (pow a (- 1.0)))
3.0ms
(cbrt (pow a (- 1.0)))
194.0ms
(* (* 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:
451.0ms
(cbrt (pow a (- 1.0)))
445.0ms
(cbrt (pow a (- 1.0)))
479.0ms
(cbrt (pow a (- 1.0)))
465.0ms
(* (* 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)))))

simplify495.0ms

Counts
156 → 156
Iterations

Useful iterations: done (484.0ms)

IterNodesCost
02743908
18173715
done50013071

prune853.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize53.0ms

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))

rewrite64.0ms

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:
54.0ms
(/ (/ (* 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)
2.0ms
(cbrt (pow a (- 1.0)))
2.0ms
(cbrt (pow a 1.0))
2.0ms
(cbrt (pow a 1.0))

series2.1s

Counts
4 → 12
Calls
4 calls:
502.0ms
(/ (/ (* 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)
417.0ms
(cbrt (pow a (- 1.0)))
466.0ms
(cbrt (pow a 1.0))
711.0ms
(cbrt (pow a 1.0))

simplify1.7s

Counts
115 → 115
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02523040
16432958
233112508
done50012472

prune847.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes388.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01921
12021
done2021

end0.0ms

sample13.0s

Algorithm
intervals
Results
5.4s45084×body80nan
3.2s15048×body80valid