Details

Time bar (total: 3.4s)

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163
done63

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize6.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ (atan2 im re) (log 10.0))

rewrite7.0ms

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 frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
6.0ms
(/ (atan2 im re) (log 10.0))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ (atan2 im re) (log 10.0))

simplify89.0ms

Counts
34 → 34
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
084202
1232188
2595188
31531188
44373188
55001188
done5001188

prune233.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))))

rewrite62.0ms

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×rec-exp 1-exp add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 132
Calls
2 calls:
9.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
46.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series174.0ms

Counts
2 → 6
Calls
2 calls:
115.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
60.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify50.0ms

Counts
138 → 138
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04061427
118851234
250011126
done50011126

prune265.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

rewrite89.0ms

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×frac-times *-commutative div-inv add-log-exp
1×associate-*l/
Counts
2 → 117
Calls
2 calls:
24.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
59.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series176.0ms

Counts
2 → 6
Calls
2 calls:
112.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
63.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify44.0ms

Counts
123 → 123
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04151074
11996823
25001650
done5001650

prune212.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (/ 1 (sqrt (log 10.0))) (* (* (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0))))) (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))) (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))))
2.9b
(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))
2.9b
(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))
2.9b
(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
114×cbrt-div
99×associate-*r/
82×frac-times
57×un-div-inv
43×add-exp-log
29×associate-*l/
25×associate-*l*
24×prod-exp
21×times-frac
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×add-cbrt-cube
16×pow1
12×sqrt-prod cbrt-unprod
6×div-exp pow-prod-down
4×add-log-exp
3×cbrt-undiv cbrt-prod rec-exp pow1/3 1-exp log-pow
1×associate-*r* *-commutative div-inv
Counts
4 → 141
Calls
4 calls:
153.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0))))) (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))) (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))))
10.0ms
(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))
12.0ms
(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))
10.0ms
(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series790.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0))))) (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))) (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))))
246.0ms
(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))
232.0ms
(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))
240.0ms
(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify54.0ms

Counts
153 → 153
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
05812802
119061886
250011485
done50011485

prune260.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes181.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149
1149
done149

end0.0ms

sample432.0ms

Algorithm
intervals
Results
235.0ms8000×body80valid