Details

Time bar (total: 17.8s)

sample71.0ms

Algorithm
intervals
Results
57.0ms477×body80valid

simplify4.0s

Counts
1 → 1

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize25.0ms

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))

rewrite88.0ms

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×expm1-log1p-u frac-add insert-posit16 log1p-expm1-u
3×flip3-- flip--
2×+-commutative sum-log fma-def pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×difference-of-squares
Counts
4 → 81
Calls
4 calls:
Slowest
40.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)
20.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
20.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
7.0ms
(+ (* x.re x.im) (* x.im x.re))

series241.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
87.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
80.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)
37.0ms
(+ (* x.re x.im) (* x.im x.re))
37.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify649.0ms

Counts
93 → 93

prune939.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
19×flip3-+ flip-+
16×frac-add
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times associate-*l*
10×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×+-commutative sum-log fma-def distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 109
Calls
4 calls:
Slowest
70.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))
47.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
19.0ms
(* (- x.re x.im) x.im)
18.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)

series262.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
110.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
90.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))
37.0ms
(* (- x.re x.im) x.im)
25.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify1.3s

Counts
121 → 121

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×*-un-lft-identity
8×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
6×associate-*r* add-log-exp
4×expm1-log1p-u associate-*l/ insert-posit16 log1p-expm1-u
2×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
1×+-commutative sum-log fma-def flip3-- fma-udef flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 74
Calls
4 calls:
Slowest
31.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
15.0ms
(* (- x.re x.im) x.im)
7.0ms
(+ (* x.re x.im) (* x.im x.re))
0.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series227.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
130.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
40.0ms
(* (- x.re x.im) x.im)
32.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
24.0ms
(+ (* x.re x.im) (* x.im x.re))

simplify1.5s

Counts
86 → 86

prune871.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

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)))

rewrite94.0ms

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×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
57.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
19.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
9.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
7.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series650.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
200.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
159.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
155.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
136.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify837.0ms

Counts
96 → 96

prune1.3s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes165.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch3.0ms

end0.0ms

sample3.1s

Algorithm
intervals
Results
2.7s14540×body80valid