Details

Time bar (total: 19.7s)

sample172.0ms

Algorithm
intervals
Results
35.0ms463×body80valid

simplify9.3s

Counts
1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×add-sqr-sqrt expm1-log1p-u pow1 sub-neg *-un-lft-identity flip3-- add-cbrt-cube fma-neg diff-log prod-diff add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u flip-- difference-of-squares
Counts
1 → 18
Calls
1 calls:
Slowest
18.0ms
(- (* re re) (* im im))

series64.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
64.0ms
(- (* re re) (* im im))

simplify1.4s

Counts
21 → 21

prune194.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
18×prod-diff
15×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×associate-*r*
4×frac-times associate-*l*
3×pow1 flip3-+ flip3-- add-cbrt-cube add-exp-log flip-+ flip--
2×sub-neg associate-*l/ associate-*r/
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 54
Calls
1 calls:
Slowest
50.0ms
(* (+ im re) (- re im))

series71.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
71.0ms
(* (+ im re) (- re im))

simplify1.5s

Counts
57 → 57

prune567.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

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×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 log1p-expm1-u 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 → 174
Calls
4 calls:
Slowest
30.0ms
(* (cbrt (* (+ im re) (- re im))) (cbrt (* (+ im re) (- re im))))
16.0ms
(cbrt (* (+ im re) (- re im)))
16.0ms
(cbrt (* (+ im re) (- re im)))
8.0ms
(cbrt (* (+ im re) (- re im)))

series707.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
219.0ms
(cbrt (* (+ im re) (- re im)))
174.0ms
(* (cbrt (* (+ im re) (- re im))) (cbrt (* (+ im re) (- re im))))
161.0ms
(cbrt (* (+ im re) (- re im)))
153.0ms
(cbrt (* (+ im re) (- re im)))

simplify1.7s

Counts
186 → 186

prune2.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes70.0ms

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
917.0ms14145×body80valid