Details

Time bar (total: 18.4s)

sample105.0ms

Algorithm
intervals
Results
88.0ms475×body80valid

simplify4.0s

Counts
1 → 1

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.7b

localize47.0ms

Local error

Found 4 expressions with local error:

6.7b
(* (- (* x.re x.re) (* x.im x.im)) x.im)
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.1b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0b
(- (* x.re x.re) (* x.im x.im))

rewrite92.0ms

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*
4×expm1-log1p-u flip3-+ flip3-- frac-add flip-+ insert-posit16 log1p-expm1-u flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
1×+-commutative sum-log sub-neg fma-def fma-neg diff-log prod-diff
Counts
4 → 84
Calls
4 calls:
Slowest
30.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
28.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)
22.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
11.0ms
(- (* x.re x.re) (* x.im x.im))

series243.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
91.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
89.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)
40.0ms
(- (* x.re x.re) (* x.im x.im))
23.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify627.0ms

Counts
96 → 96

prune871.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
19×flip3-+ flip-+
16×frac-add
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times associate-*l*
10×flip3-- flip--
9×add-cube-cbrt
7×associate-*r*
6×associate-*r/ add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×*-commutative
2×unswap-sqr
1×+-commutative sum-log fma-def distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 109
Calls
4 calls:
Slowest
67.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
49.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))
36.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
16.0ms
(* (- x.re x.im) x.im)

series322.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
113.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))
111.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
53.0ms
(* (- x.re x.im) x.im)
44.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify1.5s

Counts
121 → 121

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×*-un-lft-identity
8×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
6×associate-*r* add-log-exp
4×expm1-log1p-u associate-*l/ insert-posit16 log1p-expm1-u
2×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
1×+-commutative sum-log fma-def flip3-- fma-udef flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 74
Calls
4 calls:
Slowest
29.0ms
(* (- x.re x.im) x.im)
19.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
15.0ms
(+ (* x.re x.im) (* x.im x.re))
0.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series255.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
119.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
59.0ms
(* (- x.re x.im) x.im)
47.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
30.0ms
(+ (* x.re x.im) (* x.im x.re))

simplify1.2s

Counts
86 → 86

prune908.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x.re)
0.6b
(cbrt x.re)
0.6b
(cbrt x.re)
0.2b
(* (cbrt x.re) (* (+ (* x.re x.im) (* x.re x.im)) (cbrt x.re)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt pow1 *-un-lft-identity add-exp-log add-cube-cbrt
6×add-cbrt-cube associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ associate-*r/
1×flip3-+ associate-*r* *-commutative flip-+
Counts
4 → 68
Calls
4 calls:
Slowest
34.0ms
(* (cbrt x.re) (* (+ (* x.re x.im) (* x.re x.im)) (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:
Slowest
308.0ms
(cbrt x.re)
295.0ms
(cbrt x.re)
280.0ms
(cbrt x.re)
205.0ms
(* (cbrt x.re) (* (+ (* x.re x.im) (* x.re x.im)) (cbrt x.re)))

simplify1.4s

Counts
80 → 80

prune953.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes167.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch2.0ms

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.1s14276×body80valid