Details

Time bar (total: 4.7s)

sample19.0ms

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: 32.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
30.5b
(sqrt (+ (* re re) (* im im)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
20×pow1
16×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
6×sqrt-pow1 pow1/2 associate-/l*
4×add-exp-log sqrt-div associate-/r* add-cbrt-cube
3×sqrt-prod
2×log-div flip3-+ div-sub flip-+ add-log-exp
1×cbrt-undiv rem-sqrt-square frac-2neg div-exp clear-num div-inv
Counts
2 → 63
Calls
2 calls:
10.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
3.0ms
(sqrt (+ (* re re) (* im im)))

series168.0ms

Counts
2 → 6
Calls
2 calls:
132.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
36.0ms
(sqrt (+ (* re re) (* im im)))

simplify127.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 4 (120.0ms)

IterNodesCost
0221664
1556631
21309628
34047628
45001627

prune187.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (/ (log 10.0) (log (sqrt (+ (* re re) (* im im))))))
0.6b
(/ (log 10.0) (log (sqrt (+ (* re re) (* im im)))))
30.5b
(sqrt (+ (* re re) (* im im)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
94×log-pow
90×add-sqr-sqrt
89×add-cube-cbrt *-un-lft-identity
78×pow1
34×associate-/r*
22×sqrt-pow1 pow1/2
16×add-exp-log
10×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
3×sqrt-prod add-log-exp
2×rec-exp frac-2neg sqrt-div 1-exp clear-num
1×rem-sqrt-square pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
3 → 197
Calls
3 calls:
9.0ms
(/ 1 (/ (log 10.0) (log (sqrt (+ (* re re) (* im im))))))
4.0ms
(/ (log 10.0) (log (sqrt (+ (* re re) (* im im)))))
6.0ms
(sqrt (+ (* re re) (* im im)))

series302.0ms

Counts
3 → 9
Calls
3 calls:
131.0ms
(/ 1 (/ (log 10.0) (log (sqrt (+ (* re re) (* im im))))))
136.0ms
(/ (log 10.0) (log (sqrt (+ (* re re) (* im im)))))
34.0ms
(sqrt (+ (* re re) (* im im)))

simplify62.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
05122431
118902231
250022049

prune299.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* (cbrt 1) (cbrt 1)) (/ (log 10.0) (log (sqrt (+ (* re re) (* im im))))))
0.6b
(/ (log 10.0) (log (sqrt (+ (* re re) (* im im)))))
30.5b
(sqrt (+ (* re re) (* im im)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
100×times-frac
58×log-pow
49×pow1
39×add-sqr-sqrt
38×add-cube-cbrt *-un-lft-identity
34×associate-/r*
17×add-exp-log
14×sqrt-pow1 pow1/2
13×add-cbrt-cube
7×cbrt-undiv div-exp
5×associate-/l*
4×div-inv
3×sqrt-prod add-log-exp
2×frac-2neg sqrt-div prod-exp clear-num cbrt-unprod
1×rem-sqrt-square flip3-+ associate-/r/ flip-+
Counts
3 → 137
Calls
3 calls:
9.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (log 10.0) (log (sqrt (+ (* re re) (* im im))))))
4.0ms
(/ (log 10.0) (log (sqrt (+ (* re re) (* im im)))))
3.0ms
(sqrt (+ (* re re) (* im im)))

series312.0ms

Counts
3 → 9
Calls
3 calls:
139.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (log 10.0) (log (sqrt (+ (* re re) (* im im))))))
133.0ms
(/ (log 10.0) (log (sqrt (+ (* re re) (* im im)))))
40.0ms
(sqrt (+ (* re re) (* im im)))

simplify54.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04571684
118931551
250011323

prune323.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 8.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1/2 (sqrt (log 10.0))) (/ 1 (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))))
0.3b
(/ 1 (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im)))))
0.4b
(/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))
31.6b
(log (+ (* re re) (* im im)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
481×times-frac
292×add-sqr-sqrt
224×*-un-lft-identity
215×add-cube-cbrt
157×sqrt-prod
101×pow1 associate-*r*
94×log-pow
63×add-exp-log
36×associate-/r*
32×add-cbrt-cube
29×div-exp
25×associate-*l*
21×unswap-sqr
14×prod-exp
13×cbrt-undiv
11×div-inv
10×associate-/l*
6×rec-exp 1-exp cbrt-unprod
4×add-log-exp
3×log-prod
2×log-div frac-2neg clear-num associate-/r/
1×frac-times pow-flip flip3-+ associate-*r/ rem-log-exp pow-prod-down associate-*l/ un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 397
Calls
4 calls:
74.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ 1 (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))))
9.0ms
(/ 1 (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im)))))
4.0ms
(/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))
3.0ms
(log (+ (* re re) (* im im)))

series550.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ 1 (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))))
192.0ms
(/ 1 (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im)))))
167.0ms
(/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))
55.0ms
(log (+ (* re re) (* im im)))

simplify78.0ms

Algorithm
egg-herbie
Counts
409 → 409
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011295886
150015233

prune722.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.0b

regimes657.0ms

Accuracy

59.4% (10.1b remaining)

Error of 17.8b against oracle of 7.7b and baseline of 32.6b

bsearch160.0ms

Steps
ItersRangePoint
9
1.3371381883907536e+91
9.843787102234572e+98
2.9332118608681794e+97
7
7.991847353731723e-282
1.110810473879014e-279
9.880875784242076e-281
6
-8.822719984873225e-287
-8.007032356853768e-288
-1.5306266472465998e-287
8
-5.294872751913314e+157
-4.107841816162241e+153
-4.197550803800697e+153

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05854
15854

end0.0ms

sample486.0ms

Algorithm
intervals
Results
351.0ms8000×body80valid