Details

Time bar (total: 14.0s)

sample134.0ms

Algorithm
intervals
Results
20.0ms463×body80valid

simplify4.0s

Counts
1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* re re) (* im im))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×add-sqr-sqrt pow1 sub-neg *-un-lft-identity flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16 flip-- difference-of-squares
Counts
1 → 14
Calls
1 calls:
Slowest
9.0ms
(- (* re re) (* im im))

series63.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
63.0ms
(- (* re re) (* im im))

simplify1.4s

Counts
17 → 17

prune147.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ re im) (- re im))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
5×associate-*r*
4×frac-times associate-*l*
3×pow1 flip3-+ flip3-- add-cbrt-cube add-exp-log add-cube-cbrt flip-+ flip--
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l/ associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 34
Calls
1 calls:
Slowest
26.0ms
(* (+ re im) (- re im))

series76.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
76.0ms
(* (+ re im) (- re im))

simplify1.2s

Counts
37 → 37

prune718.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

8.1b
(cbrt (* (+ re im) (- re im)))
8.1b
(cbrt (* (+ re im) (- re im)))
8.1b
(cbrt (* (+ re im) (- re im)))
0.5b
(* (cbrt (* (+ re im) (- re im))) (cbrt (* (+ re im) (- re im))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
168×cbrt-div
148×frac-times
63×flip3-+ flip3-- flip-+ flip--
50×associate-*l/ 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
29.0ms
(* (cbrt (* (+ re im) (- re im))) (cbrt (* (+ re im) (- re im))))
16.0ms
(cbrt (* (+ re im) (- re im)))
15.0ms
(cbrt (* (+ re im) (- re im)))
13.0ms
(cbrt (* (+ re im) (- re im)))

series848.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
216.0ms
(cbrt (* (+ re im) (- re im)))
215.0ms
(cbrt (* (+ re im) (- re im)))
211.0ms
(* (cbrt (* (+ re im) (- re im))) (cbrt (* (+ re im) (- re im))))
206.0ms
(cbrt (* (+ re im) (- re im)))

simplify1.6s

Counts
178 → 178

prune2.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch2.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
916.0ms14145×body80valid