Details

Time bar (total: 2.0m)

sample65.0ms

Algorithm
intervals
Results
49.0ms256×body80valid

simplify27.0ms

Calls
1 calls:
Slowest
26.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize25.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ (log (hypot re im)) (log 10))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1
4×log-pow associate-/l*
3×associate-/r* add-cbrt-cube add-exp-log
1×expm1-log1p-u cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Calls
1 calls:
Slowest
13.0ms
(/ (log (hypot re im)) (log 10))

series163.0ms

Calls
1 calls:
Slowest
163.0ms
(/ (log (hypot re im)) (log 10))

simplify888.0ms

Calls
34 calls:
Slowest
224.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log 10) (log 10)) (log 10)))
138.0ms
(* -1 (/ (log (/ -1 re)) (log 10)))
135.0ms
(* -1 (/ (log (/ 1 re)) (log 10)))
48.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (log 10)) (cbrt (log 10))))
40.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (sqrt (log 10)))

prune386.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (log (hypot re im)) (sqrt (log 10)))
0.3b
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
35×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
28×associate-*r*
27×sqrt-prod
17×pow1
14×add-exp-log
13×log-pow
9×add-cbrt-cube
6×associate-/r*
4×associate-*l* prod-exp associate-/l*
3×div-exp div-inv
2×expm1-log1p-u cbrt-undiv rec-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Calls
2 calls:
Slowest
19.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
14.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

series387.0ms

Calls
2 calls:
Slowest
214.0ms
(/ (log (hypot re im)) (sqrt (log 10)))
173.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))

simplify3.0s

Calls
105 calls:
Slowest
399.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (* (* (/ (log (hypot re im)) (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10)))) (/ (log (hypot re im)) (sqrt (log 10)))))
207.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10))))
191.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))))
168.0ms
(* -1 (* (log (/ -1 re)) (sqrt (/ 1 (log 10)))))
134.0ms
(* -1 (/ (log (/ 1 re)) (log 10)))

prune1.4s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
0.3b
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
12×prod-exp
10×pow1
9×add-cbrt-cube
8×associate-*l*
6×rec-exp
5×add-sqr-sqrt *-un-lft-identity associate-*r* associate-*r/ add-cube-cbrt
4×pow-prod-down cbrt-unprod
3×un-div-inv
2×expm1-log1p-u frac-times *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
1×associate-*l/ log-pow
Calls
2 calls:
Slowest
14.0ms
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
6.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

series304.0ms

Calls
2 calls:
Slowest
188.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))
115.0ms
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))

simplify3.0s

Calls
38 calls:
Slowest
459.0ms
(* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))))
436.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (* (* (* (log (hypot re im)) (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))))
391.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10))))))
168.0ms
(+ (log (/ 1 (sqrt (log 10)))) (+ (log (log (hypot re im))) (- (log (sqrt (log 10))))))
157.0ms
(+ (log (/ 1 (sqrt (log 10)))) (log (* (log (hypot re im)) (/ 1 (sqrt (log 10))))))

prune715.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ (log 10) (log (hypot re im)))
0.5b
(cbrt (* (log (hypot re im)) (/ (/ (log (hypot re im)) (/ (log 10) (log (hypot re im)))) (sqrt (log 10)))))
0.4b
(/ (/ (log (hypot re im)) (/ (log 10) (log (hypot re im)))) (sqrt (log 10)))
0.3b
(/ (log (hypot re im)) (/ (log 10) (log (hypot re im))))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
1334×times-frac
553×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
236×pow1
232×log-pow
210×sqrt-prod
76×associate-/l*
43×div-inv
26×associate-/r*
20×add-cbrt-cube add-exp-log
10×cbrt-undiv div-exp
8×associate-/r/
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg
1×cbrt-prod cbrt-div pow1/3 associate-*r/ associate-/l/
Calls
4 calls:
Slowest
26.0ms
(/ (/ (log (hypot re im)) (/ (log 10) (log (hypot re im)))) (sqrt (log 10)))
22.0ms
(/ (log (hypot re im)) (/ (log 10) (log (hypot re im))))
17.0ms
(cbrt (* (log (hypot re im)) (/ (/ (log (hypot re im)) (/ (log 10) (log (hypot re im)))) (sqrt (log 10)))))
9.0ms
(/ (log 10) (log (hypot re im)))

series952.0ms

Calls
4 calls:
Slowest
405.0ms
(/ (/ (log (hypot re im)) (/ (log 10) (log (hypot re im)))) (sqrt (log 10)))
202.0ms
(cbrt (* (log (hypot re im)) (/ (/ (log (hypot re im)) (/ (log 10) (log (hypot re im)))) (sqrt (log 10)))))
173.0ms
(/ (log 10) (log (hypot re im)))
171.0ms
(/ (log (hypot re im)) (/ (log 10) (log (hypot re im))))

simplify1.7m

Calls
1106 calls:
Slowest
720.0ms
(/ (/ 1 (/ (* (cbrt (log 10)) (cbrt (log 10))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))))) (sqrt (sqrt (log 10))))
592.0ms
(/ (/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (/ (* (cbrt (log 10)) (cbrt (log 10))) (sqrt (log (hypot re im))))) 1)
583.0ms
(/ (/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (/ (* (cbrt (log 10)) (cbrt (log 10))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))))) (sqrt (sqrt (log 10))))
520.0ms
(/ (/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (/ (* (cbrt (log 10)) (cbrt (log 10))) (sqrt (log (hypot re im))))) (sqrt 1))
519.0ms
(/ (/ (sqrt (log (hypot re im))) (/ (* (cbrt (log 10)) (cbrt (log 10))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))))) 1)

prune9.6s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes175.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.2s8000×body80valid