Details

Time bar (total: 2.3s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify3.0ms

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))

rewrite3.0ms

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:
2.0ms
(/ (atan2 im re) (log 10.0))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ (atan2 im re) (log 10.0))

simplify92.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
086210
1234196
2597196
31533196
44399196
55001196

prune89.0ms

Pruning

10 alts after pruning (10 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))))

rewrite41.0ms

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)))
31.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series163.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
55.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify52.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04101455
119091262
250011154

prune277.0ms

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

rewrite51.0ms

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:
13.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
32.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series164.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
60.0ms
(* (/ 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

prune220.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
4.1b
(cbrt (atan2 im re))
4.1b
(cbrt (atan2 im re))
4.1b
(cbrt (atan2 im re))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
57×cbrt-prod
41×add-sqr-sqrt
28×sqrt-prod
21×*-un-lft-identity
19×add-cube-cbrt
17×pow1
14×swap-sqr
10×associate-*r* associate-*l*
9×pow1/3 unswap-sqr
6×add-exp-log log-pow
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
11.0ms
(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
0.0ms
(cbrt (atan2 im re))
0.0ms
(cbrt (atan2 im re))
1.0ms
(cbrt (atan2 im re))

series123.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
42.0ms
(cbrt (atan2 im re))
39.0ms
(cbrt (atan2 im re))
42.0ms
(cbrt (atan2 im re))

simplify47.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
0120825
1420767
21740691
35001651

prune301.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes162.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149
1149

end0.0ms

sample363.0ms

Algorithm
intervals
Results
232.0ms8000×body80valid