Details

Time bar (total: 16.9s)

sample119.0ms

Algorithm
intervals
Results
98.0ms499×body80valid

simplify1.7s

Counts
1 → 1

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize29.0ms

Local error

Found 4 expressions with local error:

6.5b
(* (- (* x.re x.re) (* x.im x.im)) x.re)
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
0.1b
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.0b
(+ (* x.re x.im) (* x.im x.re))

rewrite148.0ms

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×expm1-log1p-u flip3-+ flip3-- frac-sub flip-+ insert-posit16 log1p-expm1-u flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log sub-neg fma-def fma-neg diff-log prod-diff difference-of-squares
Counts
4 → 83
Calls
4 calls:
Slowest
57.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
38.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
36.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)
15.0ms
(+ (* x.re x.im) (* x.im x.re))

series216.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
79.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
66.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)
36.0ms
(+ (* x.re x.im) (* x.im x.re))
35.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)

simplify658.0ms

Counts
95 → 95

prune954.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
18×flip3-+ flip-+
16×frac-sub
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times associate-*l*
11×flip3-- flip--
9×add-cube-cbrt
7×associate-*r*
6×associate-*r/ add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×*-commutative
2×unswap-sqr
1×sub-neg fma-neg diff-log prod-diff distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 111
Calls
4 calls:
Slowest
66.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))
54.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
27.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
21.0ms
(* (- x.re x.im) x.re)

series226.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
67.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))
65.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
58.0ms
(* (- x.re x.im) x.re)
36.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)

simplify1.4s

Counts
123 → 123

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
19×associate-*l*
16×add-sqr-sqrt
12×*-un-lft-identity
10×add-cube-cbrt
8×pow1 add-cbrt-cube add-exp-log
6×associate-*r* add-log-exp
5×distribute-lft-neg-in distribute-rgt-neg-in
4×expm1-log1p-u associate-*l/ insert-posit16 log1p-expm1-u
3×distribute-rgt-out distribute-lft-out
2×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-neg-frac unswap-sqr
1×distribute-lft-neg-out +-commutative neg-mul-1 sum-log fma-def flip3-- fma-udef flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 88
Calls
4 calls:
Slowest
33.0ms
(* (- (+ (* x.re x.im) (* x.re x.im))) x.im)
28.0ms
(* (- x.re x.im) x.re)
7.0ms
(+ (* x.re x.im) (* x.re x.im))
0.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (* (- (+ (* x.re x.im) (* x.re x.im))) x.im))

series231.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
110.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (* (- (+ (* x.re x.im) (* x.re x.im))) x.im))
58.0ms
(* (- x.re x.im) x.re)
41.0ms
(* (- (+ (* x.re x.im) (* x.re x.im))) x.im)
23.0ms
(+ (* x.re x.im) (* x.re x.im))

simplify2.6s

Counts
100 → 100

prune973.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

23.8b
(cbrt (* (- (+ (* x.re x.im) (* x.re x.im))) x.im))
23.8b
(cbrt (* (- (+ (* x.re x.im) (* x.re x.im))) x.im))
23.8b
(cbrt (* (- (+ (* x.re x.im) (* x.re x.im))) x.im))
0.3b
(* (cbrt (* (- (+ (* x.re x.im) (* x.re x.im))) x.im)) (cbrt (* (- (+ (* x.re x.im) (* x.re x.im))) x.im)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div distribute-neg-frac
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×expm1-log1p-u frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 log1p-expm1-u 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 → 84
Calls
4 calls:
Slowest
45.0ms
(* (cbrt (* (- (+ (* x.re x.im) (* x.re x.im))) x.im)) (cbrt (* (- (+ (* x.re x.im) (* x.re x.im))) x.im)))
11.0ms
(cbrt (* (- (+ (* x.re x.im) (* x.re x.im))) x.im))
10.0ms
(cbrt (* (- (+ (* x.re x.im) (* x.re x.im))) x.im))
10.0ms
(cbrt (* (- (+ (* x.re x.im) (* x.re x.im))) x.im))

series670.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
205.0ms
(* (cbrt (* (- (+ (* x.re x.im) (* x.re x.im))) x.im)) (cbrt (* (- (+ (* x.re x.im) (* x.re x.im))) x.im)))
181.0ms
(cbrt (* (- (+ (* x.re x.im) (* x.re x.im))) x.im))
154.0ms
(cbrt (* (- (+ (* x.re x.im) (* x.re x.im))) x.im))
130.0ms
(cbrt (* (- (+ (* x.re x.im) (* x.re x.im))) x.im))

simplify1.2s

Counts
96 → 96

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes122.0ms

Accuracy

0% (0.5b remaining)

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

bsearch11.0ms

end0.0ms

sample2.8s

Algorithm
intervals
Results
2.5s14566×body80valid