Details

Time bar (total: 14.1s)

sample21.0ms

Algorithm
intervals
Results
8.0ms307×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 4 (35.0ms)

IterNodesCost
08164
114164
234164
392164
4264139
5943139
done5000139

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize18.0ms

Local error

Found 1 expressions with local error:

2.4b
(* x (fma (- y 1.0) z 1.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×fma-udef
1×distribute-rgt-in expm1-log1p-u distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
11.0ms
(* x (fma (- y 1.0) z 1.0))

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(* x (fma (- y 1.0) z 1.0))

simplify2.1s

Counts
25 → 25
Iterations

Useful iterations: 3 (811.0ms)

IterNodesCost
0485146
11114945
23674815
319434625
done50004625

prune140.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.5b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* (- y 1.0) z) x) (* 1.0 x))
2.5b
(* (* (- y 1.0) z) x)

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×associate-*l/ add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative sum-log fma-def flip3-+ distribute-rgt-out flip3-- associate-*l* *-commutative flip-+ flip--
Counts
2 → 37
Calls
2 calls:
44.0ms
(+ (* (* (- y 1.0) z) x) (* 1.0 x))
37.0ms
(* (* (- y 1.0) z) x)

series153.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(+ (* (* (- y 1.0) z) x) (* 1.0 x))
66.0ms
(* (* (- y 1.0) z) x)

simplify1.5s

Counts
43 → 43
Iterations

Useful iterations: done (1.5s)

IterNodesCost
08510173
12478710
212728095
done50007795

prune217.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (- y 1.0) (* z x)) (* 1.0 x))
3.1b
(* (- y 1.0) (* z x))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
5×add-sqr-sqrt *-un-lft-identity associate-*l*
4×add-log-exp
3×pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u associate-*l/ log1p-expm1-u
1×+-commutative sum-log fma-def flip3-+ flip3-- associate-*r* *-commutative flip-+ flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 38
Calls
2 calls:
19.0ms
(+ (* (- y 1.0) (* z x)) (* 1.0 x))
27.0ms
(* (- y 1.0) (* z x))

series109.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(+ (* (- y 1.0) (* z x)) (* 1.0 x))
46.0ms
(* (- y 1.0) (* z x))

simplify2.7s

Counts
44 → 44
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
08310379
12369172
28918607
348318307
done50008307

prune189.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.3b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.8b
(* (cbrt (- y 1.0)) (* z x))
2.4b
(* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* (cbrt (- y 1.0)) (* z x)))

rewrite232.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
38×cbrt-prod
37×pow1
36×associate-*l/
35×add-sqr-sqrt flip3-- flip--
33×*-un-lft-identity
32×frac-times add-exp-log
20×pow-prod-down
19×prod-exp cbrt-unprod
18×add-cbrt-cube
17×associate-*l*
15×add-cube-cbrt
10×swap-sqr associate-*r* associate-*r/
8×distribute-lft-out--
7×pow1/3
6×difference-of-squares
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 158
Calls
4 calls:
5.0ms
(cbrt (- y 1.0))
51.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
37.0ms
(* (cbrt (- y 1.0)) (* z x))
132.0ms
(* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* (cbrt (- y 1.0)) (* z x)))

series531.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(cbrt (- y 1.0))
139.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
190.0ms
(* (cbrt (- y 1.0)) (* z x))
92.0ms
(* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* (cbrt (- y 1.0)) (* z x)))

simplify2.4s

Counts
170 → 170
Iterations

Useful iterations: done (2.4s)

IterNodesCost
028679292
183362654
2357062109
done500057189

prune853.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes247.0ms

Accuracy

-7.5% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.6b

bsearch80.0ms

Steps
ItersRangePoint
10
-1.9185588755758526e-34
-1.08640502330885e-47
-4.2829594113792506e-35

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
015455
122455
done22455

end0.0ms

sample786.0ms

Algorithm
intervals
Results
412.0ms10171×body80valid