Details

Time bar (total: 23.1s)

sample28.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
01012
1137
2157
done157

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(hypot re im)
0.6b
(/ (log (hypot re im)) (log 10.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
12×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×log-pow
4×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv hypot-udef frac-2neg div-exp clear-num div-inv
Counts
2 → 48
Calls
2 calls:
0.0ms
(hypot re im)
8.0ms
(/ (log (hypot re im)) (log 10.0))

series314.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(hypot re im)
241.0ms
(/ (log (hypot re im)) (log 10.0))

simplify4.7s

Counts
54 → 54
Iterations

Useful iterations: 3 (155.0ms)

IterNodesCost
078556
1129530
2240496
3427494
4798494
51425494
62970494
done5000494

prune225.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.3b
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
0.5b
(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
97×add-sqr-sqrt
59×sqrt-prod
57×*-un-lft-identity
51×add-cube-cbrt
32×pow1 associate-*r*
27×add-exp-log log-pow
25×associate-*l*
17×add-cbrt-cube
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv
4×cbrt-unprod associate-/l*
3×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
2×rec-exp 1-exp
1×frac-times hypot-udef frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 161
Calls
3 calls:
0.0ms
(hypot re im)
50.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
21.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series552.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(hypot re im)
225.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
249.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify3.7s

Counts
170 → 170
Iterations

Useful iterations: done (3.7s)

IterNodesCost
01882832
14382509
212442114
331962110
done50002014

prune519.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.3b
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))
0.3b
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log
46×times-frac
44×add-sqr-sqrt
40×prod-exp
34×*-un-lft-identity
32×add-cube-cbrt
29×associate-*l* add-cbrt-cube
26×associate-*r* sqrt-prod
20×div-exp
17×pow1
12×cbrt-unprod
10×rec-exp 1-exp
7×log-pow
6×cbrt-undiv
5×associate-*r/ unswap-sqr
4×pow-prod-down
3×expm1-log1p-u un-div-inv log1p-expm1-u add-log-exp
2×frac-times *-commutative div-inv
1×hypot-udef associate-*l/
Counts
3 → 132
Calls
3 calls:
0.0ms
(hypot re im)
24.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))
95.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))

series571.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(hypot re im)
290.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))
226.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))

simplify6.0s

Counts
141 → 141
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
01882266
14111717
210201212
323301208
done50001208

prune435.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
0.0b
(hypot re im)
0.3b
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
3.8b
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
46×times-frac
42×*-un-lft-identity
40×add-cube-cbrt
26×sqrt-prod
25×pow-unpow associate-*l*
21×log-prod
16×add-exp-log
13×pow1
12×unpow-prod-down
9×add-cbrt-cube
8×log-pow
7×distribute-rgt-in distribute-lft-in
5×unswap-sqr
4×expm1-log1p-u associate-*r* prod-exp log1p-expm1-u add-log-exp sqr-pow
3×rem-log-exp
2×pow-to-exp hypot-udef div-exp pow-exp cbrt-unprod div-inv
1×cbrt-undiv rec-exp pow-pow 1-exp pow-prod-down associate-*l/ *-commutative sqrt-pow2
Counts
4 → 138
Calls
4 calls:
6.0ms
(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
0.0ms
(hypot re im)
56.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
10.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

series1.4s

Counts
4 → 12
Calls
4 calls:
417.0ms
(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
67.0ms
(hypot re im)
523.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
423.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

simplify2.2s

Counts
150 → 150
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02022533
14412234
210461655
325271588
done50001550

prune443.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0b

regimes156.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01116
11416
done1416

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s8000×body80valid