Details

Time bar (total: 18.6s)

sample37.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01012
1137
2157
done157

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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

series277.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(hypot re im)
195.0ms
(/ (log (hypot re im)) (log 10.0))

simplify1.2s

Counts
54 → 54
Iterations

Useful iterations: 3 (253.0ms)

IterNodesCost
078556
1134530
2328498
31348494
done5000494

prune291.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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))))
0.4b
(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite70.0ms

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 clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 161
Calls
3 calls:
0.0ms
(hypot re im)
55.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
7.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series658.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(hypot re im)
196.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
377.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify2.6s

Counts
170 → 170
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01882832
15052617
228872292
done50012110

prune782.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite143.0ms

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×add-cbrt-cube associate-*l*
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)
88.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
43.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

series659.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(hypot re im)
225.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
350.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

simplify6.3s

Counts
141 → 141
Iterations

Useful iterations: 2 (648.0ms)

IterNodesCost
01882266
15331997
240741469
done50001469

prune620.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

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))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
46×times-frac
39×*-un-lft-identity
37×add-cube-cbrt
26×sqrt-prod
25×pow-unpow associate-*l*
14×log-prod
13×add-exp-log
12×pow1
9×unpow-prod-down
8×add-cbrt-cube
7×distribute-rgt-in distribute-lft-in log-pow
5×unswap-sqr
4×associate-*r* prod-exp
3×expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
2×hypot-udef div-exp cbrt-unprod div-inv
1×pow-to-exp cbrt-undiv rec-exp pow-pow 1-exp pow-prod-down associate-*l/ pow-exp *-commutative sqrt-pow2
Counts
3 → 118
Calls
3 calls:
0.0ms
(hypot re im)
27.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
5.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

series1.1s

Counts
3 → 9
Calls
3 calls:
83.0ms
(hypot re im)
502.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
526.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

simplify1.8s

Counts
127 → 127
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01992207
15432025
227971604
done50021580

prune599.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes180.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
11416
done1416

end0.0ms

sample1.2s

Algorithm
intervals
Results
834.0ms8000×body80valid