Details

Time bar (total: 24.8s)

sample100.0ms

Algorithm
intervals
Results
81.0ms455×body80valid

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done5001
51519
4433
3149
261
123
011

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.0b

localize29.0ms

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))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
7.0b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite121.0ms

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:
8.0ms
(+ (* x.re x.im) (* x.im x.re))
33.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
39.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
40.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series247.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (* x.re x.im) (* x.im x.re))
87.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
25.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
96.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify1.8s

Counts
93 → 93
Iterations
IterNodes
done5000
22654
1443
0147

prune532.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

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:
22.0ms
(* (- x.re x.im) x.im)
44.0ms
(+ (* (+ 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 x.re)) x.re)
49.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series305.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (- x.re x.im) x.im)
121.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
25.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
101.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify912.0ms

Counts
121 → 121
Iterations
IterNodes
done5001
1789
0222

prune602.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x.re) (cbrt x.re))
0.5b
(cbrt x.re)
0.5b
(cbrt x.re)
0.5b
(cbrt x.re)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
8.0ms
(* (cbrt x.re) (cbrt x.re))
1.0ms
(cbrt x.re)
1.0ms
(cbrt x.re)
1.0ms
(cbrt x.re)

series1.2s

Counts
4 → 12
Calls
4 calls:
293.0ms
(* (cbrt x.re) (cbrt x.re))
257.0ms
(cbrt x.re)
315.0ms
(cbrt x.re)
291.0ms
(cbrt x.re)

simplify1.3s

Counts
97 → 97
Iterations
IterNodes
done5000
2729
1144
067

prune515.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
14.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
14.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
14.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

rewrite489.0ms

Algorithm
rewrite-expression-head
Rules
2200×frac-times
2120×associate-*l/
1968×cbrt-div
738×flip3-+ flip3-- flip-+ flip--
572×associate-*r/
23×pow1
12×pow1/3
9×add-exp-log pow-prod-up
6×add-sqr-sqrt pow-plus
5×*-un-lft-identity add-cbrt-cube pow-prod-down add-cube-cbrt
4×cbrt-prod expm1-log1p-u associate-*r* insert-posit16 log1p-expm1-u add-log-exp
3×prod-exp pow-sqr cbrt-unprod
2×pow2
1×associate-*l* pow3 *-commutative unswap-sqr
Counts
4 → 823
Calls
4 calls:
327.0ms
(* (* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
32.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
32.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
32.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

series1.1s

Counts
4 → 12
Calls
4 calls:
88.0ms
(* (* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
199.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
215.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
578.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

simplify2.6s

Counts
835 → 835
Iterations
IterNodes
done5000
13324
01509

prune7.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes194.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done21
321
219
117
011

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.6s14502×body80valid