Details

Time bar (total: 5.7s)

sample23.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0117
1117

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.5b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
30.2b
(sqrt (+ (* re re) (* im im)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
21×pow1
17×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
6×sqrt-pow1 pow1/2 associate-/l*
5×add-exp-log add-cbrt-cube add-log-exp
4×sqrt-div associate-/r*
3×flip3-+ sqrt-prod flip-+
2×log-div div-sub
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg div-exp clear-num sum-log div-inv
Counts
3 → 74
Calls
3 calls:
2.0ms
(+ (* re re) (* im im))
10.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
3.0ms
(sqrt (+ (* re re) (* im im)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (* re re) (* im im))
131.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
34.0ms
(sqrt (+ (* re re) (* im im)))

simplify89.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0256741
1895697
22846694
35001694

prune222.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.2b
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
0.4b
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
30.2b
(sqrt (+ (* re re) (* im im)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
127×times-frac
108×add-sqr-sqrt
78×sqrt-prod
67×*-un-lft-identity
61×add-cube-cbrt log-pow
53×pow1
46×associate-*r*
28×add-exp-log
25×associate-*l*
18×add-cbrt-cube
16×sqrt-pow1 pow1/2
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
6×associate-/l* add-log-exp
5×cbrt-undiv
4×sqrt-div cbrt-unprod
3×flip3-+ flip-+ div-inv
2×log-div rec-exp 1-exp div-sub
1×+-commutative frac-times rem-sqrt-square frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num sum-log *-commutative
Counts
4 → 205
Calls
4 calls:
2.0ms
(+ (* re re) (* im im))
40.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
11.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
3.0ms
(sqrt (+ (* re re) (* im im)))

series400.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (* re re) (* im im))
133.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
202.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
35.0ms
(sqrt (+ (* re re) (* im im)))

simplify78.0ms

Algorithm
egg-herbie
Counts
217 → 217
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06482798
128782493
250022395

prune455.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.2b
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
3.9b
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
30.2b
(sqrt (+ (* re re) (* im im)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
46×times-frac
44×*-un-lft-identity
42×add-cube-cbrt
38×sqrt-prod
25×pow-unpow associate-*l*
20×log-prod
18×unpow-prod-down
15×pow1
14×add-exp-log
10×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube
7×log-pow
6×add-log-exp
5×unswap-sqr
4×associate-*r* prod-exp
3×pow-pow sqr-pow
2×sqrt-pow1 flip3-+ pow1/2 sqrt-div div-exp cbrt-unprod flip-+ div-inv
1×cbrt-undiv +-commutative pow-to-exp rem-sqrt-square rec-exp 1-exp pow-prod-down associate-*l/ pow-exp sum-log *-commutative sqrt-pow2
Counts
4 → 141
Calls
4 calls:
2.0ms
(+ (* re re) (* im im))
23.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
7.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
3.0ms
(sqrt (+ (* re re) (* im im)))

series762.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* re re) (* im im))
359.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
337.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
39.0ms
(sqrt (+ (* re re) (* im im)))

simplify67.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05932050
127441681
250011554

prune410.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* im im) (* re re))
0.2b
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* im im) (* re re))) (/ 1 (sqrt (log 10.0))))))
3.9b
(pow (sqrt (+ (* im im) (* re re))) (/ 1 (sqrt (log 10.0))))
30.2b
(sqrt (+ (* im im) (* re re)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
46×times-frac
44×*-un-lft-identity
42×add-cube-cbrt
38×sqrt-prod
25×pow-unpow associate-*l*
20×log-prod
18×unpow-prod-down
15×pow1
14×add-exp-log
10×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube
7×log-pow
6×add-log-exp
5×unswap-sqr
4×associate-*r* prod-exp
3×pow-pow sqr-pow
2×sqrt-pow1 flip3-+ pow1/2 sqrt-div div-exp cbrt-unprod flip-+ div-inv
1×cbrt-undiv +-commutative pow-to-exp rem-sqrt-square rec-exp 1-exp pow-prod-down associate-*l/ pow-exp sum-log *-commutative sqrt-pow2
Counts
4 → 141
Calls
4 calls:
5.0ms
(+ (* im im) (* re re))
23.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* im im) (* re re))) (/ 1 (sqrt (log 10.0))))))
6.0ms
(pow (sqrt (+ (* im im) (* re re))) (/ 1 (sqrt (log 10.0))))
3.0ms
(sqrt (+ (* im im) (* re re)))

series801.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* im im) (* re re))
395.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* im im) (* re re))) (/ 1 (sqrt (log 10.0))))))
345.0ms
(pow (sqrt (+ (* im im) (* re re))) (/ 1 (sqrt (log 10.0))))
35.0ms
(sqrt (+ (* im im) (* re re)))

simplify67.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05942056
127471687
250011560

prune376.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.5b

regimes767.0ms

Accuracy

44.8% (17.8b remaining)

Error of 18.1b against oracle of 0.4b and baseline of 32.6b

bsearch241.0ms

Steps
ItersRangePoint
9
4.283497980630725e+128
1.2086931281044804e+136
4.367447801126625e+128
9
3.9952034404095503e+118
2.258742533603766e+124
7.017117784955459e+121
8
4.2706539415928307e+104
2.1878188410446244e+107
2.1620145518824135e+107
8
3.0386140917746204e-261
2.213512751948714e-257
1.2401950370154968e-260
8
-1.3854172664206703e-247
-1.055909277282452e-251
-6.041742349517094e-250
3
-5.062787100137526e+142
-4.2092663714039774e+142
-4.2568284485039247e+142

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081111
192111
295111
397111
497111

end0.0ms

sample514.0ms

Algorithm
intervals
Results
365.0ms8000×body80valid