Details

Time bar (total: 17.6s)

sample72.0ms

Algorithm
intervals
Results
58.0ms477×body80valid

simplify2.0s

Counts
1 → 1

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize34.0ms

Local error

Found 4 expressions with local error:

7.4b
(* (- (* x.re x.re) (* x.im x.im)) x.im)
0.1b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.0b
(+ (* x.re x.im) (* x.im x.re))

rewrite94.0ms

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×frac-add insert-posit16
3×flip3-- flip--
2×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×difference-of-squares
Counts
4 → 71
Calls
4 calls:
Slowest
29.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
29.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)
19.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
13.0ms
(+ (* x.re x.im) (* x.im x.re))

series279.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
108.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
105.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)
35.0ms
(+ (* x.re x.im) (* x.im x.re))
31.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify577.0ms

Counts
83 → 83

prune897.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
26×associate-*r/
24×associate-*l/
20×flip3-+ flip-+
16×frac-add
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times associate-*r*
9×flip3-- add-cube-cbrt flip--
7×associate-*l*
6×add-log-exp
5×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod
4×associate-+l+ sub-neg insert-posit16
3×*-commutative
2×unswap-sqr
1×+-commutative sum-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 110
Calls
4 calls:
Slowest
68.0ms
(* (* x.im (+ x.re x.im)) (- x.re x.im))
61.0ms
(+ (* (* x.im (+ x.re x.im)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
36.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
27.0ms
(* x.im (+ x.re x.im))

series245.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
93.0ms
(* (* x.im (+ x.re x.im)) (- x.re x.im))
81.0ms
(+ (* (* x.im (+ x.re x.im)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
37.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
33.0ms
(* x.im (+ x.re x.im))

simplify1.5s

Counts
122 → 122

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

24.4b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
24.4b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
24.4b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.4b
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))

rewrite107.0ms

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×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 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 → 76
Calls
4 calls:
Slowest
62.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
14.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
14.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
14.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series632.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
206.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
162.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
133.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
130.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify1.4s

Counts
88 → 88

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x.re x.im))
0.6b
(cbrt (+ x.re x.im))
0.6b
(cbrt (+ x.re x.im))
0.5b
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube insert-posit16 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:
Slowest
47.0ms
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
12.0ms
(cbrt (+ x.re x.im))
5.0ms
(cbrt (+ x.re x.im))
4.0ms
(cbrt (+ x.re x.im))

series778.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
235.0ms
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
211.0ms
(cbrt (+ x.re x.im))
166.0ms
(cbrt (+ x.re x.im))
165.0ms
(cbrt (+ x.re x.im))

simplify1.9s

Counts
111 → 111

prune1.4s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes142.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch3.0ms

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.2s14540×body80valid