Details

Time bar (total: 19.8s)

sample30.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify12.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
113
010

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize20.0ms

Local error

Found 1 expressions with local error:

0.7b
(/ (log (hypot re im)) (log 10.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
11×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
10×log-pow
4×associate-/r* associate-/l*
3×add-cbrt-cube add-exp-log
1×expm1-log1p-u cbrt-undiv clear-num frac-2neg div-exp log1p-expm1-u div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
13.0ms
(/ (log (hypot re im)) (log 10.0))

series206.0ms

Counts
1 → 3
Calls
1 calls:
206.0ms
(/ (log (hypot re im)) (log 10.0))

simplify4.1s

Counts
41 → 41
Iterations
IterNodes
done5002
54863
41893
3678
2280
1117
066

prune344.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
0.5b
(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
96×add-sqr-sqrt
59×sqrt-prod
56×*-un-lft-identity
50×add-cube-cbrt
32×associate-*r*
31×pow1
27×log-pow
26×add-exp-log
25×associate-*l*
16×add-cbrt-cube
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv
4×cbrt-unprod associate-/l*
3×div-inv
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 → 151
Calls
2 calls:
60.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
14.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series510.0ms

Counts
2 → 6
Calls
2 calls:
200.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
310.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify2.3s

Counts
157 → 157
Iterations
IterNodes
done5000
32953
21327
1466
0176

prune716.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 (sqrt (log 10.0))) (log (hypot re im)))
0.3b
(* (* (/ 1 (sqrt (log 10.0))) (log (hypot re im))) (/ 1 (sqrt (log 10.0))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
46×times-frac
45×add-sqr-sqrt
40×prod-exp
35×*-un-lft-identity
33×add-cube-cbrt
29×associate-*r*
28×add-cbrt-cube
26×associate-*l* sqrt-prod
20×div-exp
16×pow1
12×cbrt-unprod
10×rec-exp 1-exp
7×log-pow
6×cbrt-undiv log-prod
5×unswap-sqr
4×pow-prod-down associate-*l/
3×distribute-rgt-in distribute-lft-in
2×expm1-log1p-u *-commutative log1p-expm1-u div-inv add-log-exp
1×frac-times associate-*r/ un-div-inv
Counts
2 → 126
Calls
2 calls:
30.0ms
(* (/ 1 (sqrt (log 10.0))) (log (hypot re im)))
52.0ms
(* (* (/ 1 (sqrt (log 10.0))) (log (hypot re im))) (/ 1 (sqrt (log 10.0))))

series535.0ms

Counts
2 → 6
Calls
2 calls:
325.0ms
(* (/ 1 (sqrt (log 10.0))) (log (hypot re im)))
211.0ms
(* (* (/ 1 (sqrt (log 10.0))) (log (hypot re im))) (/ 1 (sqrt (log 10.0))))

simplify4.4s

Counts
132 → 132
Iterations
IterNodes
done5000
32729
21290
1522
0191

prune520.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (hypot re im)) (cbrt (hypot re im)))
0.6b
(cbrt (hypot re im))
0.6b
(cbrt (hypot re im))
0.6b
(cbrt (hypot re im))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
9.0ms
(* (cbrt (hypot re im)) (cbrt (hypot re im)))
1.0ms
(cbrt (hypot re im))
1.0ms
(cbrt (hypot re im))
1.0ms
(cbrt (hypot re im))

series620.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(* (cbrt (hypot re im)) (cbrt (hypot re im)))
153.0ms
(cbrt (hypot re im))
142.0ms
(cbrt (hypot re im))
139.0ms
(cbrt (hypot re im))

simplify2.7s

Counts
93 → 93
Iterations
IterNodes
done5010
43804
31067
2397
1166
078

prune731.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes258.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s8000×body80valid