Details

Time bar (total: 32.4s)

sample61.0ms

Algorithm
intervals
Results
41.0ms435×body80valid

simplify3.6s

Counts
1 → 1
Iterations
IterNodes
done5000
73015
61214
5597
4245
3121
251
120
011

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x.re x.re) (* 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)
5.5b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite129.0ms

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×flip3-+ flip3-- frac-add flip-+ flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
1×+-commutative sum-log sub-neg diff-log
Counts
4 → 69
Calls
4 calls:
7.0ms
(- (* x.re x.re) (* x.im x.im))
35.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
44.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
42.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series254.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* x.re x.re) (* x.im x.im))
92.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
29.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
91.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify1.7s

Counts
81 → 81
Iterations
IterNodes
done5004
21820
1416
0138

prune574.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*l/ associate-*r/
20×flip3-+ flip-+
16×frac-add
12×frac-times
11×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
9×*-un-lft-identity flip3-- flip--
8×associate-*r* add-log-exp
7×add-cube-cbrt
4×distribute-rgt-in associate-+l+ sub-neg distribute-lft-in associate-*l* pow-prod-down prod-exp cbrt-unprod
2×+-commutative sum-log *-commutative
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 94
Calls
4 calls:
7.0ms
(+ (* x.re x.im) (* x.im x.re))
59.0ms
(+ (* (* x.im (+ x.re x.im)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
25.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
56.0ms
(* (* x.im (+ x.re x.im)) (- x.re x.im))

series238.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (* x.re x.im) (* x.im x.re))
85.0ms
(+ (* (* x.im (+ x.re x.im)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
43.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
88.0ms
(* (* x.im (+ x.re x.im)) (- x.re x.im))

simplify4.7s

Counts
106 → 106
Iterations
IterNodes
done5001
24386
1759
0209

prune603.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x.im (+ x.re x.re)) (cbrt x.re))
0.6b
(cbrt x.re)
0.6b
(cbrt x.re)
0.6b
(cbrt x.re)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt pow1 *-un-lft-identity add-exp-log add-cube-cbrt
7×add-cbrt-cube
6×associate-*r*
4×add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ associate-*r/
1×flip3-+ associate-*l* *-commutative flip-+
Counts
4 → 56
Calls
4 calls:
64.0ms
(* (* x.im (+ x.re x.re)) (cbrt x.re))
1.0ms
(cbrt x.re)
1.0ms
(cbrt x.re)
1.0ms
(cbrt x.re)

series1.0s

Counts
4 → 12
Calls
4 calls:
175.0ms
(* (* x.im (+ x.re x.re)) (cbrt x.re))
326.0ms
(cbrt x.re)
232.0ms
(cbrt x.re)
302.0ms
(cbrt x.re)

simplify3.4s

Counts
68 → 68
Iterations
IterNodes
done5000
33973
2821
1211
076

prune593.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im))) (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))) (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im))))
15.4b
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))
15.4b
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))
15.4b
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))

rewrite543.0ms

Algorithm
rewrite-expression-head
Rules
2200×frac-times
2048×associate-*r/
1968×cbrt-div
738×flip3-+ flip3-- flip-+ flip--
644×associate-*l/
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 associate-*r* add-log-exp
3×prod-exp pow-sqr cbrt-unprod
2×pow2
1×associate-*l* pow3 *-commutative unswap-sqr
Counts
4 → 811
Calls
4 calls:
235.0ms
(* (* (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im))) (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))) (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im))))
34.0ms
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))
45.0ms
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))
27.0ms
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))

series631.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (* (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im))) (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))) (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im))))
171.0ms
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))
195.0ms
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))
203.0ms
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))

simplify3.7s

Counts
823 → 823
Iterations
IterNodes
done5004
24406
12976
01493

prune7.8s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes262.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done17
117
011

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.8s14483×body80valid