Details

Time bar (total: 4.6m)

sample44.0ms

Algorithm
intervals
Results
32.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
15.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize39.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

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 insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 39
Calls
1 calls:
Slowest
16.0ms
(/ (log (hypot re im)) (log 10))

series231.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
231.0ms
(/ (log (hypot re im)) (log 10))

simplify1.7s

Counts
59 → 42
Calls
59 calls:
Slowest
450.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log 10) (log 10)) (log 10)))
251.0ms
(* (* (/ (log (hypot re im)) (log 10)) (/ (log (hypot re im)) (log 10))) (/ (log (hypot re im)) (log 10)))
166.0ms
(* -1 (/ (log (/ 1 re)) (log 10)))
94.0ms
(* -1 (/ (log (/ -1 re)) (log 10)))
52.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (log 10)) (cbrt (log 10))))

prune536.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (log (hypot re im)) (sqrt (log 10)))
0.2b
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))

rewrite57.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 153
Calls
2 calls:
Slowest
40.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
12.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

series538.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
334.0ms
(/ (log (hypot re im)) (sqrt (log 10)))
203.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))

simplify17.0s

Counts
203 → 159
Calls
203 calls:
Slowest
904.0ms
(* (/ 1 (sqrt (log 10))) (/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (sqrt (log 10))) (cbrt (sqrt (log 10))))))
548.0ms
(exp (* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10)))))
496.0ms
(* (* (* (/ 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)))))
487.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10))))
403.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10)))) (* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))) (* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10)))))

prune1.7s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (sqrt (log 10)) (log (hypot re im)))
0.3b
(/ 1 (/ (sqrt (log 10)) (log (hypot re im))))
0.2b
(* (/ 1 (sqrt (log 10))) (/ 1 (/ (sqrt (log 10)) (log (hypot re im)))))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
515×times-frac
332×add-sqr-sqrt
242×*-un-lft-identity
213×add-cube-cbrt
168×sqrt-prod
101×pow1 associate-*r*
99×add-exp-log
93×log-pow
50×div-exp
36×associate-/r*
35×unswap-sqr
31×add-cbrt-cube
28×prod-exp
25×associate-*l*
17×rec-exp 1-exp
13×cbrt-undiv
11×div-inv
10×associate-/l*
6×cbrt-unprod
3×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u pow-flip inv-pow add-log-exp
2×clear-num frac-2neg associate-/r/
1×frac-times associate-*l/ associate-*r/ un-div-inv *-commutative
Counts
3 → 422
Calls
3 calls:
Slowest
51.0ms
(* (/ 1 (sqrt (log 10))) (/ 1 (/ (sqrt (log 10)) (log (hypot re im)))))
15.0ms
(/ 1 (/ (sqrt (log 10)) (log (hypot re im))))
11.0ms
(/ (sqrt (log 10)) (log (hypot re im)))

series764.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
311.0ms
(/ 1 (/ (sqrt (log 10)) (log (hypot re im))))
228.0ms
(/ (sqrt (log 10)) (log (hypot re im)))
225.0ms
(* (/ 1 (sqrt (log 10))) (/ 1 (/ (sqrt (log 10)) (log (hypot re im)))))

simplify49.6s

Counts
590 → 431
Calls
590 calls:
Slowest
802.0ms
(* (/ 1 (sqrt (log 10))) (/ (sqrt 1) (/ (sqrt (sqrt (log 10))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))))))
731.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ 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))))))
510.0ms
(* (* (/ 1 (/ (sqrt (log 10)) (log (hypot re im)))) (/ 1 (/ (sqrt (log 10)) (log (hypot re im))))) (/ 1 (/ (sqrt (log 10)) (log (hypot re im)))))
495.0ms
(* (/ 1 (sqrt (log 10))) (/ (sqrt 1) (/ (* (cbrt (sqrt (log 10))) (cbrt (sqrt (log 10)))) (sqrt (log (hypot re im))))))
482.0ms
(* (/ 1 (sqrt (log 10))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt (log 10))) (cbrt (sqrt (log 10)))) (sqrt (log (hypot re im))))))

prune4.6s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
2249×times-frac
898×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
832×sqrt-prod
400×pow1
398×log-pow
61×div-inv
36×associate-/r*
32×associate-/l*
26×add-exp-log
17×div-exp
16×add-cbrt-cube
9×cbrt-undiv
2×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ associate-/l/
Counts
2 → 938
Calls
2 calls:
Slowest
13.0ms
(/ (/ 1 (sqrt (log 10))) (/ (sqrt (log 10)) (log (hypot re im))))
11.0ms
(/ (sqrt (log 10)) (log (hypot re im)))

series481.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
262.0ms
(/ (sqrt (log 10)) (log (hypot re im)))
220.0ms
(/ (/ 1 (sqrt (log 10))) (/ (sqrt (log 10)) (log (hypot re im))))

simplify3.1m

Counts
1774 → 944
Calls
1774 calls:
Slowest
776.0ms
(/ (/ (sqrt 1) (* (cbrt (sqrt (log 10))) (cbrt (sqrt (log 10))))) (/ (sqrt 1) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im))))))
706.0ms
(/ (/ (sqrt 1) 1) (/ (* (cbrt (sqrt (log 10))) (cbrt (sqrt (log 10)))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im))))))
697.0ms
(/ (/ 1 (* (cbrt (sqrt (log 10))) (cbrt (sqrt (log 10))))) (/ (sqrt (sqrt (log 10))) (sqrt (log (hypot re im)))))
632.0ms
(/ (/ (sqrt 1) (* (cbrt (sqrt (log 10))) (cbrt (sqrt (log 10))))) (/ (* (cbrt (sqrt (log 10))) (cbrt (sqrt (log 10)))) (sqrt (log (hypot re im)))))
615.0ms
(* (* (/ (/ 1 (sqrt (log 10))) (/ (sqrt (log 10)) (log (hypot re im)))) (/ (/ 1 (sqrt (log 10))) (/ (sqrt (log 10)) (log (hypot re im))))) (/ (/ 1 (sqrt (log 10))) (/ (sqrt (log 10)) (log (hypot re im)))))

prune10.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes186.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch6.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s8000×body80valid