Details

Time bar (total: 38.5s)

sample73.0ms

Algorithm
intervals
Results
58.0ms452×body80valid

simplify5.0s

Counts
1 → 1
Iterations
IterNodes
74371
61764
5723
4268
3110
250
123
011

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.7b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re x.im) (* x.im x.re))
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)
9.8b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite105.0ms

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:
15.0ms
(+ (* x.re x.im) (* x.im x.re))
42.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
20.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
26.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series258.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (* x.re x.im) (* x.im x.re))
92.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
38.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
104.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify16.3s

Counts
93 → 93
Iterations
IterNodes
38121
21858
1428
0147

prune821.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite147.0ms

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
10×flip3-- associate-*r* flip--
9×associate-*l* add-cube-cbrt
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×distribute-rgt-in associate-+l+ distribute-lft-in unswap-sqr
1×+-commutative sum-log fma-def distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 113
Calls
4 calls:
17.0ms
(* (- x.re x.im) x.im)
50.0ms
(+ (* (* (- x.re x.im) x.im) (+ x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
23.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
55.0ms
(* (* (- x.re x.im) x.im) (+ x.re x.im))

series297.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (- x.re x.im) x.im)
104.0ms
(+ (* (* (- x.re x.im) x.im) (+ x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
38.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
93.0ms
(* (* (- x.re x.im) x.im) (+ x.re x.im))

simplify1.8s

Counts
125 → 125
Iterations
IterNodes
24623
1834
0230

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

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:
15.0ms
(+ (* x.re x.im) (* x.im x.re))
31.0ms
(* (- x.re x.im) x.im)
43.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
1.0ms
(fma (* (- x.re x.im) x.im) (+ x.re x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series245.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ (* x.re x.im) (* x.im x.re))
62.0ms
(* (- x.re x.im) x.im)
22.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
138.0ms
(fma (* (- x.re x.im) x.im) (+ x.re x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify2.6s

Counts
86 → 86
Iterations
IterNodes
33540
21003
1288
0118

prune697.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
22.4b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
22.4b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
22.4b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite96.0ms

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:
52.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
14.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
15.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
14.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series660.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
183.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
156.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
130.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify4.1s

Counts
96 → 96
Iterations
IterNodes
44594
31725
2761
1320
0130

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
218
118
013

end0.0ms

sample2.8s

Algorithm
intervals
Results
2.5s14355×body80valid