Details

Time bar (total: 14.1s)

sample20.0ms

Algorithm
intervals
Results
8.0ms345×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
067
1147
2236
3276
done276

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize5.0ms

Local error

Found 1 expressions with local error:

4.5b
(* x (+ 1.0 (* y y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
22.0ms
(* x (+ 1.0 (* y y)))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(* x (+ 1.0 (* y y)))

simplify1.9s

Counts
27 → 27
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
052263
1147256
2478199
31717199
done5000199

prune93.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (fma y y 1.0)) x)
0.1b
(* (* (sqrt (fma y y 1.0)) x) (sqrt (+ 1.0 (* y y))))
4.5b
(sqrt (+ 1.0 (* y y)))
4.5b
(sqrt (fma y y 1.0))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×pow1 sqrt-prod
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r*
7×associate-*l*
4×expm1-log1p-u sqrt-div pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 associate-*r/ *-commutative flip-+ unswap-sqr
1×hypot-def
Counts
4 → 82
Calls
4 calls:
18.0ms
(* (sqrt (fma y y 1.0)) x)
49.0ms
(* (* (sqrt (fma y y 1.0)) x) (sqrt (+ 1.0 (* y y))))
11.0ms
(sqrt (+ 1.0 (* y y)))
2.0ms
(sqrt (fma y y 1.0))

series714.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (sqrt (fma y y 1.0)) x)
173.0ms
(* (* (sqrt (fma y y 1.0)) x) (sqrt (+ 1.0 (* y y))))
52.0ms
(sqrt (+ 1.0 (* y y)))
392.0ms
(sqrt (fma y y 1.0))

simplify2.6s

Counts
94 → 94
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01401186
13231015
2990819
32984813
done5000812

prune307.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 4.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (cbrt (fma y y 1.0)) (* (cbrt (fma y y 1.0)) x)) (cbrt (+ 1.0 (* y y))))
4.7b
(cbrt (+ 1.0 (* y y)))
4.7b
(cbrt (fma y y 1.0))
4.7b
(cbrt (fma y y 1.0))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
6×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u cbrt-div log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-+ associate-*r/ flip-+
1×associate-*l* *-commutative
Counts
4 → 69
Calls
4 calls:
83.0ms
(* (* (cbrt (fma y y 1.0)) (* (cbrt (fma y y 1.0)) x)) (cbrt (+ 1.0 (* y y))))
3.0ms
(cbrt (+ 1.0 (* y y)))
1.0ms
(cbrt (fma y y 1.0))
1.0ms
(cbrt (fma y y 1.0))

series1.2s

Counts
4 → 12
Calls
4 calls:
430.0ms
(* (* (cbrt (fma y y 1.0)) (* (cbrt (fma y y 1.0)) x)) (cbrt (+ 1.0 (* y y))))
280.0ms
(cbrt (+ 1.0 (* y y)))
255.0ms
(cbrt (fma y y 1.0))
267.0ms
(cbrt (fma y y 1.0))

simplify3.1s

Counts
81 → 81
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
01391364
13501259
21162970
34226863
done5000863

prune329.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 4.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (fma y y 1.0)))
4.5b
(* x (fma y y 1.0))
4.5b
(* x (fma y y 1.0))
4.5b
(* x (fma y y 1.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
6×fma-udef
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×cbrt-prod pow1/3
Counts
4 → 77
Calls
4 calls:
3.0ms
(cbrt (* x (fma y y 1.0)))
7.0ms
(* x (fma y y 1.0))
7.0ms
(* x (fma y y 1.0))
7.0ms
(* x (fma y y 1.0))

series432.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(cbrt (* x (fma y y 1.0)))
87.0ms
(* x (fma y y 1.0))
57.0ms
(* x (fma y y 1.0))
66.0ms
(* x (fma y y 1.0))

simplify1.7s

Counts
89 → 89
Iterations

Useful iterations: done (1.7s)

IterNodesCost
086844
1185821
2440714
31306701
done5001677

prune321.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 4.6b

regimes138.0ms

Accuracy

0% (0.2b remaining)

Error of 5.4b against oracle of 5.2b and baseline of 5.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample819.0ms

Algorithm
intervals
Results
393.0ms10678×body80valid