Details

Time bar (total: 14.2s)

sample52.0ms

Algorithm
intervals
Results
41.0ms437×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done2012
62012
51086
4382
3146
255
124
011

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x.re x.re) (* x.im x.im))
0.1b
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
6.3b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*l/
8×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
7×associate-*l*
6×associate-*r*
5×flip3-- flip--
4×expm1-log1p-u frac-sub insert-posit16 log1p-expm1-u
3×flip3-+ flip-+
2×sub-neg fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 86
Calls
4 calls:
8.0ms
(- (* x.re x.re) (* x.im x.im))
29.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
20.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
28.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series233.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- (* x.re x.re) (* x.im x.im))
65.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
35.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
80.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify1.6s

Counts
98 → 98
Iterations
IterNodes
done2005
32005
21905
1445
0158

prune542.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re x.im) (* x.im x.re))
0.1b
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
0.2b
(* (+ x.re x.im) (* (- x.re x.im) x.re))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*l/
19×flip3-+ flip-+
16×frac-sub
12×frac-times
11×pow1 add-cbrt-cube add-exp-log
10×flip3-- flip--
9×add-sqr-sqrt *-un-lft-identity
8×add-log-exp
7×associate-*l* add-cube-cbrt
6×associate-*r/
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
2×*-commutative
1×+-commutative sum-log sub-neg fma-def fma-neg diff-log prod-diff distribute-lft-out unswap-sqr
Counts
4 → 101
Calls
4 calls:
14.0ms
(+ (* x.re x.im) (* x.im x.re))
61.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
39.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
58.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series258.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (* x.re x.im) (* x.im x.re))
94.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
42.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
84.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify951.0ms

Counts
113 → 113
Iterations
IterNodes
done2003
22003
1774
0215

prune496.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- x.re x.im) x.re)
0.0b
(+ (* x.re x.im) (* x.re x.im))
0.1b
(* (- x.im) (+ (* x.re x.im) (* x.re x.im)))
0.2b
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (* (- x.im) (+ (* x.re x.im) (* x.re x.im))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt
9×associate-*r*
8×pow1 add-cbrt-cube add-exp-log
6×add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×distribute-lft-neg-in distribute-rgt-neg-in
2×flip3-+ distribute-rgt-out count-2 pow-prod-down associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
1×distribute-lft-neg-out distribute-rgt-in +-commutative neg-mul-1 sum-log fma-def distribute-lft-in flip3-- fma-udef flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 90
Calls
4 calls:
37.0ms
(* (- x.re x.im) x.re)
14.0ms
(+ (* x.re x.im) (* x.re x.im))
21.0ms
(* (- x.im) (+ (* x.re x.im) (* x.re x.im)))
0.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (* (- x.im) (+ (* x.re x.im) (* x.re x.im))))

series246.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (- x.re x.im) x.re)
36.0ms
(+ (* x.re x.im) (* x.re x.im))
33.0ms
(* (- x.im) (+ (* x.re x.im) (* x.re x.im)))
112.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (* (- x.im) (+ (* x.re x.im) (* x.re x.im))))

simplify1.2s

Counts
102 → 102
Iterations
IterNodes
done2006
32006
21300
1351
0131

prune593.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- x.re x.im) x.re)) (cbrt (* (- x.re x.im) x.re)))
10.8b
(cbrt (* (- x.re x.im) x.re))
10.8b
(cbrt (* (- x.re x.im) x.re))
10.8b
(cbrt (* (- x.re x.im) x.re))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 84
Calls
4 calls:
44.0ms
(* (cbrt (* (- x.re x.im) x.re)) (cbrt (* (- x.re x.im) x.re)))
6.0ms
(cbrt (* (- x.re x.im) x.re))
6.0ms
(cbrt (* (- x.re x.im) x.re))
9.0ms
(cbrt (* (- x.re x.im) x.re))

series1.5s

Counts
4 → 12
Calls
4 calls:
368.0ms
(* (cbrt (* (- x.re x.im) x.re)) (cbrt (* (- x.re x.im) x.re)))
409.0ms
(cbrt (* (- x.re x.im) x.re))
380.0ms
(cbrt (* (- x.re x.im) x.re))
379.0ms
(cbrt (* (- x.re x.im) x.re))

simplify1.0s

Counts
96 → 96
Iterations
IterNodes
done2002
42002
31460
2551
1242
0108

prune521.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes130.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
done32
432
327
224
120
013

end0.0ms

sample2.8s

Algorithm
intervals
Results
2.5s14337×body80valid