Details

Time bar (total: 25.8s)

sample34.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
done66

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize13.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ (atan2 im re) (log 10.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1
4×associate-/r* log-pow
3×add-exp-log add-cbrt-cube associate-/l*
1×cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
10.0ms
(/ (atan2 im re) (log 10.0))

series86.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(/ (atan2 im re) (log 10.0))

simplify3.8s

Counts
36 → 36
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
054385
186368
2175344
3325344
4545344
5860344
61993344
done5000344

prune144.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (atan2 im re) (sqrt (log 10.0)))
0.8b
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
85×times-frac
52×*-un-lft-identity
51×sqrt-prod
46×add-cube-cbrt
26×add-exp-log
25×associate-*r* associate-*l*
16×add-cbrt-cube
15×unswap-sqr
14×pow1
10×log-pow
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv
4×cbrt-unprod
3×div-inv associate-/l*
2×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 136
Calls
2 calls:
14.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
73.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series259.0ms

Counts
2 → 6
Calls
2 calls:
162.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
97.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify4.1s

Counts
142 → 142
Iterations

Useful iterations: done (4.1s)

IterNodesCost
01612378
13852101
211451726
330201726
done50001630

prune395.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
46×times-frac
43×add-sqr-sqrt
40×prod-exp
33×*-un-lft-identity
31×add-cube-cbrt
28×associate-*l* add-cbrt-cube
26×associate-*r* sqrt-prod
20×div-exp
15×pow1
12×cbrt-unprod
10×rec-exp 1-exp
6×cbrt-undiv log-pow
5×associate-*r/ unswap-sqr
4×pow-prod-down
3×un-div-inv
2×expm1-log1p-u frac-times *-commutative log1p-expm1-u div-inv add-log-exp
1×associate-*l/
Counts
2 → 121
Calls
2 calls:
23.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
86.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series218.0ms

Counts
2 → 6
Calls
2 calls:
137.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
81.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify7.5s

Counts
127 → 127
Iterations

Useful iterations: 2 (286.0ms)

IterNodesCost
01612041
13581502
29241023
321301023
444521023
done50011023

prune286.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (expm1 (/ (atan2 im re) (sqrt (log 10.0)))))
0.1b
(/ (atan2 im re) (sqrt (log 10.0)))
0.5b
(expm1 (/ (atan2 im re) (sqrt (log 10.0))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (log1p (expm1 (/ (atan2 im re) (sqrt (log 10.0))))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
46×times-frac
37×*-un-lft-identity
35×add-cube-cbrt
30×sqrt-prod
25×associate-*l*
15×add-exp-log
13×pow1
11×add-cbrt-cube
7×associate-/r* log-pow
5×log1p-expm1-u unswap-sqr
4×expm1-log1p-u prod-exp add-log-exp
3×div-exp associate-*r* associate-/l*
2×cbrt-undiv cbrt-unprod div-inv
1×rec-exp log1p-udef expm1-log1p frac-2neg 1-exp log1p-expm1 pow-prod-down associate-*l/ clear-num *-commutative expm1-udef
Counts
4 → 118
Calls
4 calls:
1.0ms
(log1p (expm1 (/ (atan2 im re) (sqrt (log 10.0)))))
21.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
1.0ms
(expm1 (/ (atan2 im re) (sqrt (log 10.0))))
52.0ms
(* (/ 1 (sqrt (log 10.0))) (log1p (expm1 (/ (atan2 im re) (sqrt (log 10.0))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
281.0ms
(log1p (expm1 (/ (atan2 im re) (sqrt (log 10.0)))))
150.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
241.0ms
(expm1 (/ (atan2 im re) (sqrt (log 10.0))))
406.0ms
(* (/ 1 (sqrt (log 10.0))) (log1p (expm1 (/ (atan2 im re) (sqrt (log 10.0))))))

simplify6.0s

Counts
130 → 130
Iterations

Useful iterations: 2 (170.0ms)

IterNodesCost
01561972
12791645
26801365
315731365
435951365
done50011365

prune416.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes181.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11415
done1415

end0.0ms

sample777.0ms

Algorithm
intervals
Results
397.0ms8000×body80valid