Details

Time bar (total: 15.5s)

sample57.0ms

Algorithm
intervals
Results
33.0ms446×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 5 (892.0ms)

IterNodesCost
01119
12317
26116
314916
442613
5150311
done500011

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x.re (* x.im (* 3 x.re)) (- (pow x.im 3)))
0.2b
(* x.im (* 3 x.re))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u add-log-exp
associate-*r* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
1.0ms
(fma x.re (* x.im (* 3 x.re)) (- (pow x.im 3)))
26.0ms
(* x.im (* 3 x.re))

series182.0ms

Counts
2 → 6
Calls
2 calls:
140.0ms
(fma x.re (* x.im (* 3 x.re)) (- (pow x.im 3)))
41.0ms
(* x.im (* 3 x.re))

simplify4.3s

Counts
36 → 36
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
057350
1129337
2597297
34691295
done5000295

prune222.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x.re (* (* x.im 3) x.re) (- (pow x.im 3)))
0.3b
(* (* x.im 3) x.re)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u add-log-exp
associate-*l* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
1.0ms
(fma x.re (* (* x.im 3) x.re) (- (pow x.im 3)))
22.0ms
(* (* x.im 3) x.re)

series158.0ms

Counts
2 → 6
Calls
2 calls:
123.0ms
(fma x.re (* (* x.im 3) x.re) (- (pow x.im 3)))
34.0ms
(* (* x.im 3) x.re)

simplify703.0ms

Counts
36 → 36
Iterations

Useful iterations: done (701.0ms)

IterNodesCost
060353
1142342
2807300
done5000296

prune157.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* x.re 3) (* x.im x.re)) (- (pow x.im 3)))
0.2b
(* (* x.re 3) (* x.im x.re))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-log-exp
add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity sum-log log1p-expm1-u
+-commutative neg-sub0 associate-+r- fma-def flip3-+ associate-*r* associate-*l* unsub-neg neg-log *-commutative flip-+
Counts
2 → 42
Calls
2 calls:
57.0ms
(+ (* (* x.re 3) (* x.im x.re)) (- (pow x.im 3)))
31.0ms
(* (* x.re 3) (* x.im x.re))

series131.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(+ (* (* x.re 3) (* x.im x.re)) (- (pow x.im 3)))
27.0ms
(* (* x.re 3) (* x.im x.re))

simplify1.5s

Counts
48 → 48
Iterations

Useful iterations: done (1.5s)

IterNodesCost
078605
1239537
21421465
done5000464

prune166.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x.re) (cbrt x.re))
0.5b
(cbrt x.re)
0.5b
(cbrt x.re)
0.5b
(cbrt x.re)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
22.0ms
(* (cbrt x.re) (cbrt x.re))
1.0ms
(cbrt x.re)
1.0ms
(cbrt x.re)
1.0ms
(cbrt x.re)

series1.1s

Counts
4 → 12
Calls
4 calls:
301.0ms
(* (cbrt x.re) (cbrt x.re))
253.0ms
(cbrt x.re)
246.0ms
(cbrt x.re)
269.0ms
(cbrt x.re)

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: done (1.2s)

IterNodesCost
065554
1143443
2719423
done5000409

prune479.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes113.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11312
done1312

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.8s14406×body80valid