Details

Time bar (total: 18.5s)

sample30.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify13.0ms

Counts
1 → 1
Iterations
IterNodes
done6
06

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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 log1p-expm1-u div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
8.0ms
(/ (atan2 im re) (log 10.0))

series95.0ms

Counts
1 → 3
Calls
1 calls:
95.0ms
(/ (atan2 im re) (log 10.0))

simplify1.3s

Counts
36 → 36
Iterations
IterNodes
done5001
31224
2265
191
054

prune173.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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))))

rewrite86.0ms

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 clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 136
Calls
2 calls:
9.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
68.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series218.0ms

Counts
2 → 6
Calls
2 calls:
131.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
88.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify2.4s

Counts
142 → 142
Iterations
IterNodes
done5001
22828
1453
0162

prune565.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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)))))

rewrite124.0ms

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×add-cbrt-cube associate-*l*
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:
22.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
97.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series250.0ms

Counts
2 → 6
Calls
2 calls:
152.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
98.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify5.4s

Counts
127 → 127
Iterations
IterNodes
done5000
23867
1481
0162

prune462.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
88×sqrt-prod
67×times-frac
60×add-sqr-sqrt
59×associate-*l*
50×*-un-lft-identity
49×add-exp-log
48×add-cube-cbrt
31×add-cbrt-cube
28×pow1 prod-exp
27×associate-*r*
18×associate-*r/
16×cbrt-unprod
15×sqrt-div
11×frac-times
10×pow-prod-down
9×log-pow
7×un-div-inv
6×div-exp
5×unswap-sqr
4×associate-*l/
3×expm1-log1p-u cbrt-undiv rec-exp 1-exp *-commutative log1p-expm1-u div-inv add-log-exp
Counts
3 → 169
Calls
3 calls:
32.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
65.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))
187.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (/ 1 (sqrt (log 10.0))))))

series627.0ms

Counts
3 → 9
Calls
3 calls:
144.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
392.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))
91.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (/ 1 (sqrt (log 10.0))))))

simplify4.9s

Counts
178 → 178
Iterations
IterNodes
done5000
24028
1572
0216

prune736.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done21
121
015

end0.0ms

sample663.0ms

Algorithm
intervals
Results
443.0ms8000×body80valid