Details

Time bar (total: 36.3s)

sample97.0ms

Algorithm
intervals
Results
78.0ms469×body80valid

simplify3.8s

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.8b

localize51.0ms

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.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))
4.9b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite112.0ms

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:
16.0ms
(+ (* x.re x.im) (* x.im x.re))
35.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
27.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
32.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series211.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (* x.re x.im) (* x.im x.re))
23.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
81.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
83.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify17.0s

Counts
93 → 93
Iterations
IterNodes
38369
21842
1430
0147

prune965.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize56.0ms

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

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*l/
20×flip3-+ flip-+
16×frac-add
12×frac-times
11×pow1 add-cbrt-cube add-exp-log
9×add-sqr-sqrt *-un-lft-identity flip3-- flip--
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 sum-log fma-def *-commutative
1×distribute-lft-out unswap-sqr
Counts
4 → 99
Calls
4 calls:
14.0ms
(+ (* x.re x.im) (* x.im x.re))
41.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
59.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
41.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series247.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* x.re x.im) (* x.im x.re))
23.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
104.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
86.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.2s

Counts
111 → 111
Iterations
IterNodes
24297
1754
0209

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

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:
27.0ms
(* (- x.re x.im) x.im)
9.0ms
(+ (* x.re x.im) (* x.im x.re))
38.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
1.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series282.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (- x.re x.im) x.im)
41.0ms
(+ (* x.re x.im) (* x.im x.re))
38.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
154.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify2.0s

Counts
86 → 86
Iterations
IterNodes
33645
2977
1284
0118

prune1.0s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
13.8b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
13.8b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
13.8b
(cbrt (+ (* x.re x.im) (* x.im x.re)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
43.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
5.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
4.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
5.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series500.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
105.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
124.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
110.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify2.6s

Counts
111 → 111
Iterations
IterNodes
44941
31757
2753
1311
0125

prune1.8s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes208.0ms

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

sample2.6s

Algorithm
intervals
Results
2.2s14377×body80valid