Details

Time bar (total: 18.0s)

sample108.0ms

Algorithm
intervals
Results
46.0ms256×body80valid
42.0ms265×body80nan

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
done5000
71130
6438
5190
4132
386
248
131
018

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (atan2 im re) (log base))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1
4×associate-/r* log-pow
3×add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
7.0ms
(/ (atan2 im re) (log base))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (atan2 im re) (log base))

simplify1.9s

Counts
37 → 37
Iterations
IterNodes
done5001
41860
3649
2274
1111
065

prune204.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (/ (log base) (atan2 im re)))
0.3b
(/ (log base) (atan2 im re))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
19×pow1 associate-/r*
16×log-pow
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
2×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 125
Calls
2 calls:
14.0ms
(/ 1 (/ (log base) (atan2 im re)))
10.0ms
(/ (log base) (atan2 im re))

series122.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(/ 1 (/ (log base) (atan2 im re)))
47.0ms
(/ (log base) (atan2 im re))

simplify1.7s

Counts
131 → 131
Iterations
IterNodes
done5008
32518
21046
1384
0168

prune387.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (log base))
0.3b
(* (/ 1 (log base)) (atan2 im re))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
26×times-frac
21×*-un-lft-identity
20×add-cube-cbrt
16×associate-*l*
15×add-exp-log
12×pow1
9×add-cbrt-cube
7×log-pow
4×associate-/r* div-exp prod-exp
3×associate-*r* associate-/l* unswap-sqr
2×expm1-log1p-u cbrt-undiv rec-exp 1-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative pow-flip inv-pow
Counts
2 → 79
Calls
2 calls:
7.0ms
(/ 1 (log base))
15.0ms
(* (/ 1 (log base)) (atan2 im re))

series231.0ms

Counts
2 → 6
Calls
2 calls:
176.0ms
(/ 1 (log base))
55.0ms
(* (/ 1 (log base)) (atan2 im re))

simplify2.7s

Counts
85 → 85
Iterations
IterNodes
done5004
53767
42087
31278
2552
1225
0107

prune338.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ -1 (- (log base)))
0.3b
(* (/ -1 (- (log base))) (atan2 im re))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
73×times-frac
55×add-sqr-sqrt
50×*-un-lft-identity add-cube-cbrt
40×associate-*l*
28×distribute-lft-neg-in distribute-rgt-neg-in
18×pow1
14×log-pow
12×associate-/r*
9×add-cbrt-cube add-exp-log
7×neg-mul-1
3×associate-*r* associate-/l*
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative
Counts
2 → 128
Calls
2 calls:
10.0ms
(/ -1 (- (log base)))
24.0ms
(* (/ -1 (- (log base))) (atan2 im re))

series317.0ms

Counts
2 → 6
Calls
2 calls:
236.0ms
(/ -1 (- (log base)))
81.0ms
(* (/ -1 (- (log base))) (atan2 im re))

simplify1.7s

Counts
134 → 134
Iterations
IterNodes
done5004
32863
21064
1366
0164

prune378.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0b

regimes377.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.9s7972×body80nan
1.7s8000×body80valid