Details

Time bar (total: 18.5s)

sample32.0ms

Algorithm
intervals
Results
15.0ms256×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: 0.9b

localize12.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ (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 frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
10.0ms
(/ (atan2 im re) (log 10.0))

series104.0ms

Counts
1 → 3
Calls
1 calls:
104.0ms
(/ (atan2 im re) (log 10.0))

simplify2.9s

Counts
34 → 34
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
052371
184354
2176330
3326330
4548330
5866330
62003330
done5000330

prune102.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))))

rewrite85.0ms

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:
10.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
65.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series199.0ms

Counts
2 → 6
Calls
2 calls:
129.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
70.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify3.2s

Counts
138 → 138
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01572334
13812061
211381696
329891696
done50001600

prune327.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
1.0b
(/ 1 (log 10.0))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
47×times-frac
45×add-sqr-sqrt
37×*-un-lft-identity
36×add-cube-cbrt
31×add-exp-log sqrt-prod
28×associate-*l*
21×pow1
20×associate-*r*
19×add-cbrt-cube
13×prod-exp
10×log-pow
7×cbrt-unprod
6×div-exp
4×associate-*r/ pow-prod-down associate-/r* unswap-sqr
3×cbrt-undiv rec-exp sqrt-div 1-exp div-inv associate-/l* add-log-exp
2×*-commutative
1×frac-times pow-flip frac-2neg associate-*l/ clear-num inv-pow
Counts
3 → 124
Calls
3 calls:
34.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
65.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
6.0ms
(/ 1 (log 10.0))

series186.0ms

Counts
3 → 7
Calls
3 calls:
115.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
71.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
0.0ms
(/ 1 (log 10.0))

simplify6.4s

Counts
131 → 131
Iterations

Useful iterations: 2 (195.0ms)

IterNodesCost
01621776
13441448
29171297
325221297
done50011297

prune298.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 1 (log 10.0))
2.9b
(cbrt (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
2.9b
(cbrt (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
2.9b
(cbrt (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
9×pow1
8×add-exp-log
6×add-cbrt-cube
4×associate-/r* log-pow add-log-exp
3×cbrt-prod cbrt-div pow1/3 sqrt-div associate-*r/ associate-/l*
2×div-exp
1×cbrt-undiv rec-exp pow-flip frac-2neg 1-exp clear-num div-inv inv-pow
Counts
4 → 65
Calls
4 calls:
6.0ms
(/ 1 (log 10.0))
9.0ms
(cbrt (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
15.0ms
(cbrt (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
10.0ms
(cbrt (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))

series1.1s

Counts
4 → 10
Calls
4 calls:
0.0ms
(/ 1 (log 10.0))
361.0ms
(cbrt (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
384.0ms
(cbrt (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
326.0ms
(cbrt (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))

simplify2.2s

Counts
75 → 75
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
070802
1110726
2160648
3255639
4595639
52373639
done5001639

prune314.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes305.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01215
11615
done1615

end0.0ms

sample600.0ms

Algorithm
intervals
Results
326.0ms8000×body80valid