Details

Time bar (total: 3.2s)

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize6.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ (atan2 im re) (log 10.0))

rewrite4.0ms

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 expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
3.0ms
(/ (atan2 im re) (log 10.0))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ (atan2 im re) (log 10.0))

simplify91.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
086210
1234196
2597196
31533196
44399196
55001196

prune89.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))))

rewrite37.0ms

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×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 136
Calls
2 calls:
3.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
28.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series166.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
60.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify55.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04101455
119091262
250011154

prune254.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

rewrite50.0ms

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×expm1-log1p-u frac-times *-commutative log1p-expm1-u div-inv add-log-exp
1×associate-*l/
Counts
2 → 121
Calls
2 calls:
16.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
29.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series171.0ms

Counts
2 → 6
Calls
2 calls:
114.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
57.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify45.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04191106
12000855
25002682

prune204.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (expm1 (* (atan2 im re) (/ 1 (sqrt (log 10.0))))))
0.0b
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
0.5b
(expm1 (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (log1p (expm1 (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
50×times-frac
38×*-un-lft-identity
34×add-cube-cbrt
28×associate-*r* associate-*l* sqrt-prod
22×add-exp-log
14×pow1 add-cbrt-cube
10×unswap-sqr
8×prod-exp
6×log-pow
5×log1p-expm1-u
4×expm1-log1p-u div-exp cbrt-unprod add-log-exp
2×cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative div-inv
1×log1p-udef expm1-log1p log1p-expm1 associate-*r/ associate-*l/ un-div-inv expm1-udef
Counts
4 → 125
Calls
4 calls:
0.0ms
(log1p (expm1 (* (atan2 im re) (/ 1 (sqrt (log 10.0))))))
13.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
0.0ms
(expm1 (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))
14.0ms
(* (/ 1 (sqrt (log 10.0))) (log1p (expm1 (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))))

series779.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(log1p (expm1 (* (atan2 im re) (/ 1 (sqrt (log 10.0))))))
115.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
172.0ms
(expm1 (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))
282.0ms
(* (/ 1 (sqrt (log 10.0))) (log1p (expm1 (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))))

simplify45.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03561232
11758999
25001887

prune291.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes297.0ms

Accuracy

37.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.8b

bsearch2.0ms

Steps
ItersRangePoint
0
-0.6821881769209206
-0.6821881754792244
-0.6821881762000725

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01413

end0.0ms

sample424.0ms

Algorithm
intervals
Results
289.0ms8000×body80valid