Details

Time bar (total: 1.7m)

sample46.0ms

Algorithm
intervals
Results
35.0ms256×body80valid

simplify15.0ms

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

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize23.0ms

Local error

Found 1 expressions with local error:

0.7b
(/ (log (hypot re im)) (log 10))

rewrite13.0ms

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
Calls
1 calls:
Slowest
12.0ms
(/ (log (hypot re im)) (log 10))

series631.0ms

Calls
1 calls:
Slowest
631.0ms
(/ (log (hypot re im)) (log 10))

simplify1.2s

Calls
43 calls:
Slowest
453.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log 10) (log 10)) (log 10)))
132.0ms
(* -1 (/ (log (/ 1 re)) (log 10)))
105.0ms
(* -1 (/ (log (/ -1 re)) (log 10)))
75.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (log 10)) (cbrt (log 10))))
33.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) 1)

prune493.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (log (hypot re im)) (sqrt (log 10)))
0.3b
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
210×associate-/r*
183×add-sqr-sqrt
182×frac-times
175×sqrt-prod
144×*-un-lft-identity
137×add-cube-cbrt
107×associate-/l*
99×times-frac
75×pow1
71×log-pow
32×associate-*r*
31×clear-num
30×frac-2neg
26×add-exp-log
25×associate-*l*
16×add-cbrt-cube
15×unswap-sqr
14×associate-*r/
13×associate-*l/
9×div-exp
8×prod-exp
5×cbrt-undiv
4×cbrt-unprod
3×un-div-inv div-inv
2×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×pow-prod-down *-commutative
Calls
2 calls:
Slowest
57.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
12.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

series488.0ms

Calls
2 calls:
Slowest
286.0ms
(/ (log (hypot re im)) (sqrt (log 10)))
202.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))

simplify27.5s

Calls
565 calls:
Slowest
471.0ms
(* (* (* (/ 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)))))
435.0ms
(* (/ 1 (* (cbrt (sqrt (log 10))) (cbrt (sqrt (log 10))))) (/ (log (hypot re im)) (sqrt (log 10))))
426.0ms
(* (/ 1 (* (cbrt (sqrt (log 10))) (cbrt (sqrt (log 10))))) (/ (log (hypot re im)) (* (cbrt (sqrt (log 10))) (cbrt (sqrt (log 10))))))
422.0ms
(* (/ 1 (* (cbrt (sqrt (log 10))) (cbrt (sqrt (log 10))))) (/ (log (hypot re im)) (sqrt (sqrt (log 10)))))
397.0ms
(* (/ 1 (sqrt (* (cbrt (log 10)) (cbrt (log 10))))) (/ (log (hypot re im)) (* (cbrt (sqrt (log 10))) (cbrt (sqrt (log 10))))))

prune3.7s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
267×add-sqr-sqrt
208×associate-*l/
203×associate-/r*
178×sqrt-prod
169×frac-times
163×*-un-lft-identity
136×add-cube-cbrt
115×times-frac
89×associate-*l*
88×associate-/l*
76×add-exp-log
65×unswap-sqr
49×pow1
40×prod-exp log-pow
33×associate-*r*
30×clear-num
29×frac-2neg
28×add-cbrt-cube
20×div-exp
13×associate-*r/
12×cbrt-unprod
10×rec-exp 1-exp
6×cbrt-undiv log-prod
4×pow-prod-down
3×distribute-rgt-in distribute-lft-in un-div-inv *-commutative div-inv
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
Calls
2 calls:
Slowest
87.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))
24.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))

series547.0ms

Calls
2 calls:
Slowest
320.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))
227.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))

simplify34.8s

Calls
585 calls:
Slowest
620.0ms
(* (* (* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (* (/ 1 (sqrt (log 10))) (log (hypot re im)))) (* (/ 1 (sqrt (log 10))) (log (hypot re im)))) (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))))
488.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))
452.0ms
(* (* (* (* (/ 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)))))
450.0ms
(* (* (/ 1 (* (cbrt (sqrt (log 10))) (cbrt (sqrt (log 10))))) (log (hypot re im))) (/ 1 (sqrt (sqrt (log 10)))))
419.0ms
(* (* (/ 1 (sqrt (* (cbrt (log 10)) (cbrt (log 10))))) (log (hypot re im))) (/ 1 (* (cbrt (sqrt (log 10))) (cbrt (sqrt (log 10))))))

prune4.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
367×add-sqr-sqrt
226×sqrt-prod
211×associate-*r/
208×*-un-lft-identity
204×times-frac
196×associate-/r*
169×frac-times
151×add-cube-cbrt
144×associate-*r*
87×unswap-sqr
85×associate-/l*
59×add-exp-log
53×pow1
48×swap-sqr
47×log-pow
33×prod-exp
29×clear-num associate-*l*
28×frac-2neg
19×add-cbrt-cube
16×div-exp
13×associate-*l/
9×cbrt-unprod
8×rec-exp 1-exp
6×div-inv
4×cbrt-undiv
3×pow-prod-down un-div-inv *-commutative
1×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
Calls
1 calls:
Slowest
147.0ms
(* (log (hypot re im)) (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))))

series207.0ms

Calls
1 calls:
Slowest
207.0ms
(* (log (hypot re im)) (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))))

simplify20.5s

Calls
420 calls:
Slowest
569.0ms
(* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (/ (* (* 1 1) 1) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10))))))
456.0ms
(* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10))))) (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10))))))
352.0ms
(* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10))))))
237.0ms
(+ (log (log (hypot re im))) (+ (- (log 1) (log (sqrt (log 10)))) (- (log (sqrt (log 10))))))
211.0ms
(+ (log (log (hypot re im))) (+ (- 0 (log (sqrt (log 10)))) (- (log (sqrt (log 10))))))

prune3.8s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes161.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch3.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.6s8000×body80valid