Details

Time bar (total: 20.0s)

sample82.0ms

Algorithm
intervals
Results
67.0ms494×body80valid

simplify965.0ms

Counts
1 → 1

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize41.0ms

Local error

Found 4 expressions with local error:

6.0b
(* (- (* x.re x.re) (* x.im x.im)) x.re)
0.2b
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
0.0b
(+ (* x.re x.im) (* x.im x.re))

rewrite150.0ms

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×flip3-+ flip3-- frac-sub flip-+ insert-posit16 flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log sub-neg diff-log difference-of-squares
Counts
4 → 72
Calls
4 calls:
Slowest
50.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
45.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)
39.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
14.0ms
(+ (* x.re x.im) (* x.im x.re))

series181.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
63.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
56.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)
32.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
29.0ms
(+ (* x.re x.im) (* x.im x.re))

simplify470.0ms

Counts
84 → 84

prune821.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite172.0ms

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×associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16
2×*-commutative
1×+-commutative sum-log sub-neg diff-log distribute-lft-out unswap-sqr
Counts
4 → 90
Calls
4 calls:
Slowest
91.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
43.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))
29.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
7.0ms
(+ (* x.re x.im) (* x.im x.re))

series207.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
77.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
67.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))
37.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
25.0ms
(+ (* x.re x.im) (* x.im x.re))

simplify1.4s

Counts
102 → 102

prune924.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

16.6b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
16.6b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
16.6b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
0.3b
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
176×associate-*l/
168×cbrt-div
148×frac-times
63×flip3-+ flip3-- flip-+ flip--
50×associate-*r/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 166
Calls
4 calls:
Slowest
90.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
25.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
23.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
21.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series710.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
214.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
184.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
174.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
139.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))

simplify1.8s

Counts
178 → 178

prune2.8s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

16.6b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
16.6b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
16.6b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
0.3b
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
176×associate-*l/
168×cbrt-div
148×frac-times
63×flip3-+ flip3-- flip-+ flip--
50×associate-*r/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 166
Calls
4 calls:
Slowest
93.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
41.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
38.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
31.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series776.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
243.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
194.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
174.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
164.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

simplify2.2s

Counts
178 → 178

prune2.9s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes297.0ms

Accuracy

0% (0.6b remaining)

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

bsearch3.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
2.1s14404×body80valid