Details

Time bar (total: 17.4s)

sample21.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01012
1137
2157
done157

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

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)
3.0ms
(/ (log (hypot re im)) (log 10.0))

series203.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(hypot re im)
153.0ms
(/ (log (hypot re im)) (log 10.0))

simplify3.4s

Counts
54 → 54
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
078556
1129530
2239496
3497494
4999494
51725494
63262494
done5000494

prune144.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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)))

rewrite43.0ms

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)
32.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
4.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series456.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(hypot re im)
158.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
251.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify4.3s

Counts
170 → 170
Iterations

Useful iterations: 3 (3.3s)

IterNodesCost
01882832
14612573
213402114
345162110
done50002110

prune372.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))))

rewrite54.0ms

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)
33.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
14.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

series440.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(hypot re im)
160.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
228.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

simplify3.6s

Counts
141 → 141
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
01882266
14491791
211771212
326901208
done50011208

prune305.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))))))
3.9b
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

rewrite27.0ms

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×cbrt-undiv pow-to-exp 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)
19.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
3.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

series792.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(hypot re im)
383.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
357.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

simplify2.2s

Counts
127 → 127
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01992207
14531983
212271397
330091345
done50001345

prune340.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes102.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
11416
done1416

end0.0ms

sample521.0ms

Algorithm
intervals
Results
365.0ms8000×body80valid