Details

Time bar (total: 16.1s)

sample50.0ms

Algorithm
intervals
Results
31.0ms475×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 5 (659.0ms)

IterNodesCost
01119
12317
26116
314916
442613
5150311
done500011

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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))

rewrite30.0ms

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)))
28.0ms
(* x.im (* 3 x.re))

series139.0ms

Counts
2 → 6
Calls
2 calls:
117.0ms
(fma x.re (* x.im (* 3 x.re)) (- (pow x.im 3)))
22.0ms
(* x.im (* 3 x.re))

simplify4.9s

Counts
36 → 36
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
057350
1129337
2597297
34691295
done5000295

prune170.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x.re (* 1 (* (* x.im 3) x.re)) (- (pow x.im 3)))
0.2b
(* (* x.im 3) x.re)

rewrite27.0ms

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:
0.0ms
(fma x.re (* 1 (* (* x.im 3) x.re)) (- (pow x.im 3)))
26.0ms
(* (* x.im 3) x.re)

series153.0ms

Counts
2 → 6
Calls
2 calls:
121.0ms
(fma x.re (* 1 (* (* x.im 3) x.re)) (- (pow x.im 3)))
32.0ms
(* (* x.im 3) x.re)

simplify1.1s

Counts
36 → 36
Iterations

Useful iterations: done (1.1s)

IterNodesCost
061379
1150342
21033300
done5000296

prune192.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x.re (* 1 (* (* x.im x.re) 3)) (- (pow x.im 3)))
0.2b
(* (* x.im x.re) 3)

rewrite46.0ms

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 (* 1 (* (* x.im x.re) 3)) (- (pow x.im 3)))
43.0ms
(* (* x.im x.re) 3)

series168.0ms

Counts
2 → 6
Calls
2 calls:
135.0ms
(fma x.re (* 1 (* (* x.im x.re) 3)) (- (pow x.im 3)))
33.0ms
(* (* x.im x.re) 3)

simplify1.1s

Counts
36 → 36
Iterations

Useful iterations: 2 (185.0ms)

IterNodesCost
060379
1149336
21017296
done5000296

prune126.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x.im) (cbrt x.im))
0.7b
(cbrt x.im)
0.7b
(cbrt x.im)
0.7b
(cbrt x.im)

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:
13.0ms
(* (cbrt x.im) (cbrt x.im))
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)

series1.1s

Counts
4 → 12
Calls
4 calls:
315.0ms
(* (cbrt x.im) (cbrt x.im))
297.0ms
(cbrt x.im)
238.0ms
(cbrt x.im)
299.0ms
(cbrt x.im)

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: done (1.2s)

IterNodesCost
065554
1143443
2719423
done5000409

prune454.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes111.0ms

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: 1 (1.0ms)

IterNodesCost
01013
11511
21611
done1611

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.9s14288×body80valid