Details

Time bar (total: 23.6s)

sample36.0ms

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

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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:
12.0ms
(/ (atan2 im re) (log 10.0))

series97.0ms

Counts
1 → 3
Calls
1 calls:
97.0ms
(/ (atan2 im re) (log 10.0))

simplify3.6s

Counts
34 → 34
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
052371
184354
2176330
3326330
4548330
5866330
62003330
done5000330

prune132.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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:
7.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
67.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series218.0ms

Counts
2 → 6
Calls
2 calls:
145.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
73.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify4.1s

Counts
138 → 138
Iterations

Useful iterations: done (4.0s)

IterNodesCost
01572334
13812061
211381696
329891696
done50001600

prune402.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)))))

rewrite116.0ms

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:
39.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
71.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series235.0ms

Counts
2 → 6
Calls
2 calls:
160.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
75.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify8.5s

Counts
123 → 123
Iterations

Useful iterations: 2 (391.0ms)

IterNodesCost
01571989
13531462
2911993
32141993
44467993
done5000993

prune308.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
4.6b
(cbrt (atan2 im re))
4.6b
(cbrt (atan2 im re))
4.6b
(cbrt (atan2 im re))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
57×cbrt-prod
41×add-sqr-sqrt
28×sqrt-prod
21×*-un-lft-identity
19×add-cube-cbrt
17×pow1
14×swap-sqr
10×associate-*r* associate-*l*
9×pow1/3 unswap-sqr
6×add-exp-log log-pow
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 94
Calls
4 calls:
19.0ms
(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
1.0ms
(cbrt (atan2 im re))
1.0ms
(cbrt (atan2 im re))
1.0ms
(cbrt (atan2 im re))

series160.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
54.0ms
(cbrt (atan2 im re))
55.0ms
(cbrt (atan2 im re))
51.0ms
(cbrt (atan2 im re))

simplify4.2s

Counts
104 → 104
Iterations

Useful iterations: done (4.2s)

IterNodesCost
0751159
11161027
2305953
3868882
43753792
done5001784

prune389.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes223.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11415
done1415

end0.0ms

sample736.0ms

Algorithm
intervals
Results
397.0ms8000×body80valid