Details

Time bar (total: 36.3s)

sample107.0ms

Algorithm
intervals
Results
89.0ms480×body80valid

simplify3.7s

Counts
1 → 1
Iterations
IterNodes
74171
61643
5661
4255
3106
250
123
011

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.3b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re x.im) (* x.im x.re))
0.1b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
5.3b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite110.0ms

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-add insert-posit16 log1p-expm1-u
3×flip3-- flip--
2×+-commutative sum-log fma-def pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×difference-of-squares
Counts
4 → 81
Calls
4 calls:
17.0ms
(+ (* x.re x.im) (* x.im x.re))
40.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
18.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
33.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series273.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ (* x.re x.im) (* x.im x.re))
90.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
41.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
105.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify16.9s

Counts
93 → 93
Iterations
IterNodes
38387
21857
1430
0147

prune825.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite214.0ms

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:
24.0ms
(* (- x.re x.im) x.im)
71.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
39.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
78.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series270.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (- x.re x.im) x.im)
100.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
37.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
95.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.5s

Counts
121 → 121
Iterations
IterNodes
24366
1786
0222

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

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:
7.0ms
(+ (* x.re x.im) (* x.im x.re))
21.0ms
(* (- x.re x.im) x.im)
0.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
27.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)

series259.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* x.re x.im) (* x.im x.re))
65.0ms
(* (- x.re x.im) x.im)
133.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
23.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify2.0s

Counts
86 → 86
Iterations
IterNodes
33672
2996
1285
0118

prune847.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
23.9b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
23.9b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
23.9b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite82.0ms

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:
50.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
10.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
7.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
12.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series739.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
142.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
171.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
192.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify3.1s

Counts
96 → 96
Iterations
IterNodes
44472
31719
2762
1320
0130

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes132.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
214
114
010

end0.0ms

sample2.8s

Algorithm
intervals
Results
2.5s14439×body80valid