Details

Time bar (total: 5.0s)

sample21.0ms

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: 37.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
34.5b
(sqrt (+ (* re re) (* im im)))

rewrite38.0ms

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:
28.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
7.0ms
(sqrt (+ (* re re) (* im im)))

series154.0ms

Counts
2 → 6
Calls
2 calls:
121.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
33.0ms
(sqrt (+ (* re re) (* im im)))

simplify129.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 4 (119.0ms)

IterNodesCost
0221664
1556631
21309628
34047628
45001627

prune192.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
35.9b
(log (+ (* re re) (* im im)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
82×add-sqr-sqrt
54×sqrt-prod
52×add-cube-cbrt *-un-lft-identity
33×pow1
32×associate-*r*
28×log-pow
25×associate-*l*
18×add-exp-log
17×add-cbrt-cube
9×unswap-sqr
7×associate-/r*
5×cbrt-undiv div-exp
4×log-div prod-exp cbrt-unprod associate-/l*
3×log-prod div-inv add-log-exp
2×flip3-+ div-sub flip-+
1×frac-times frac-2neg associate-*r/ rem-log-exp pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 153
Calls
3 calls:
43.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
25.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
6.0ms
(log (+ (* re re) (* im im)))

series339.0ms

Counts
3 → 9
Calls
3 calls:
126.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
168.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
45.0ms
(log (+ (* re re) (* im im)))

simplify58.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
05282086
120651915
250011832

prune354.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.9b

localize19.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
16.6b
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
19.7b
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
44×times-frac
39×add-cube-cbrt *-un-lft-identity
25×pow-unpow associate-*l* sqrt-prod
21×log-prod
12×pow1 unpow-prod-down
11×add-exp-log
8×log-pow add-cbrt-cube
7×distribute-rgt-in distribute-lft-in
4×associate-*r* sqr-pow
3×rem-log-exp add-log-exp unswap-sqr
2×pow-to-exp pow-exp prod-exp cbrt-unprod div-inv
1×cbrt-undiv pow-pow div-exp pow-prod-down associate-*l/ *-commutative
Counts
3 → 117
Calls
3 calls:
38.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
11.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
12.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

series899.0ms

Counts
3 → 9
Calls
3 calls:
354.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
261.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
284.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

simplify62.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04631699
119901501
250011310

prune323.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 9.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (* (/ (sqrt 1/2) (sqrt (sqrt (log 10.0)))) (log (+ (* re re) (* im im)))) (sqrt (log 10.0)))
1.0b
(sqrt (sqrt (log 10.0)))
1.0b
(sqrt (sqrt (log 10.0)))
35.9b
(log (+ (* re re) (* im im)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
32×sqrt-prod
17×add-sqr-sqrt
14×add-exp-log
13×pow1 add-cube-cbrt *-un-lft-identity add-cbrt-cube
8×sqrt-pow1
7×times-frac associate-/r*
5×log-pow
4×cbrt-undiv rem-sqrt-square pow1/2 div-exp add-log-exp
3×log-prod
2×log-div prod-exp cbrt-unprod
1×frac-2neg flip3-+ rem-log-exp associate-*l/ clear-num flip-+ div-inv associate-/l/ associate-/l*
Counts
4 → 86
Calls
4 calls:
40.0ms
(/ (* (/ (sqrt 1/2) (sqrt (sqrt (log 10.0)))) (log (+ (* re re) (* im im)))) (sqrt (log 10.0)))
2.0ms
(sqrt (sqrt (log 10.0)))
2.0ms
(sqrt (sqrt (log 10.0)))
6.0ms
(log (+ (* re re) (* im im)))

series482.0ms

Counts
4 → 8
Calls
4 calls:
439.0ms
(/ (* (/ (sqrt 1/2) (sqrt (sqrt (log 10.0)))) (log (+ (* re re) (* im im)))) (sqrt (log 10.0)))
0.0ms
(sqrt (sqrt (log 10.0)))
0.0ms
(sqrt (sqrt (log 10.0)))
43.0ms
(log (+ (* re re) (* im im)))

simplify39.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0352881
11418745
25001713

prune261.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 9.8b

regimes737.0ms

Accuracy

57% (10.5b remaining)

Error of 17.8b against oracle of 7.3b and baseline of 31.8b

bsearch82.0ms

Steps
ItersRangePoint
9
4.795872799335311e+122
1.6488320848514274e+131
6.618862848129989e+123
7
-2.0822744224856455e+29
-9.072741521203234e+27
-2.0545329639421806e+29

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04940
14940

end0.0ms

sample529.0ms

Algorithm
intervals
Results
341.0ms8000×body80valid